The document discusses how to multiply multi-digit numbers by treating it as multiple single-digit multiplication problems. It shows working through an example problem step-by-step, multiplying 47 x 685. Each digit is multiplied by the bottom number and the results are placed in columns with carrying as needed. The columns are then added to obtain the final answer. The process is similar for multiplying decimal numbers, ignoring the decimal points during the multiplication and then placing the decimal point in the correct position in the final product.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
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How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Thinking of getting a dog? Be aware that breeds like Pit Bulls, Rottweilers, and German Shepherds can be loyal and dangerous. Proper training and socialization are crucial to preventing aggressive behaviors. Ensure safety by understanding their needs and always supervising interactions. Stay safe, and enjoy your furry friends!
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
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This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
2. 47
7x
9
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
3. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
9For example,
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
4. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
4x7=28
9For example,
6
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
5. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=28
9For example,
6
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
9For example,
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
7. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
49+2=51
9For example,
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
8. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
1
record
the 1
49+2=51
9For example,
carry
the 5
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
9. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
1
record
the 1
carry
the 5
49+2=51
9
9x7=63,
63+5= 68
For example,
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
10. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
1
record
the 1
carry
the 5
49+2=51
9
9x7=63,
63+5= 68
8
record
the 8
carry
the 6
6
For example,
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
6
11. we start the multiplication by
multiplying the top with the
bottom right most digit.
47
7x
8
record
the 8
carry
the 2
4x7=287x7=49,
1
record
the 1
carry
the 5
49+2=51
9
9x7=63,
63+5= 68
8
record
the 8
carry
the 6
6
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example,
6
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
12. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
1
record
the 1
9
8
record
the 8
carry
the 6
6
6x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
13. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
4x6=24
1
record
the 1
9
8
record
the 8
carry
the 6
6
6x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
14. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
4x6=24
1
record
the 1
←record
9
8
record
the 8
carry
the 6
6
6
carry
the 2
4
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
15. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
8
record
the 8
carry
the 6
6
6
carry
the 2
4
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
16. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
carry
the 4
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
8
record
the 8
carry
the 6
6
6
carry
the 2
44
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
17. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
carry
the 4
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
9x6=54
54+4= 58
8
record
the 8
carry
the 6
6
6
carry
the 2
44
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
18. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example, 47
7
8
record
the 8
carry
the 4
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
9x6=54
54+4= 58
8
record
the 8
carry
the 6
6
6
carry
the 2
4485
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
19. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example,
Because we are in a
place value system, the
result of the multiplication
must be placed in the correct slots,
so it is shift one place to the left.
47
7
8
record
the 8
carry
the 4
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
9x6=54
54+4= 58
8
record
the 8
carry
the 6
6
6
carry
the 2
Finally, we obtain the answer
by adding the two columns.
4485+
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
20. we start the multiplication by
multiplying the top with the
bottom right most digit.
When this is completed, we
proceed with the multiplication to
the next digit of the bottom number.
For example,
Because we are in a
place value system, the
result of the multiplication
must be placed in the correct slots,
so it is shift one place to the left.
47
7
8
record
the 8
carry
the 4
4x6=247x6=42,
1
record
the 1
←record
42+2=44
9
9x6=54
54+4= 58
8
record
the 8
carry
the 6
6
6
carry
the 2
Finally, we obtain the answer
by adding the two columns.
4485
8526 5
+
x
Let's review the multiplication of two
multiple digit numbers. Such a problem
is treated as multiple problems of
multiplying with a single digit number.
Multiplication and Division of Decimals
21. To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer.
Multiplication and Division of Decimals
22. To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer.
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
23. 47
7
81
9
86
6
4485
8526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer.
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
Ignore the decimal points and multiply
974 x 67 = 65258.
24. I. count the total number of places to the right of the decimal point in both
decimal numbers,
47
7
81
9
86
6
4485
8526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
25. I. count the total number of places to the right of the decimal point in both
decimal numbers,
47
7
81
9
86
6
4485
8526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
.
.
There are 3
places after the
decimal point
26. I. count the total number of places to the right of the decimal point in both
decimal numbers,
II. take the decimal point at the right end of their product, count to the left
the same total–number of places, to place the decimal point.
47
7
81
9
86
6
4485
8526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
.
.
There are 3
places after the
decimal point
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
27. I. count the total number of places to the right of the decimal point in both
decimal numbers,
II. take the decimal point at the right end of their product, count to the left
the same total–number of places, to place the decimal point.
47
7
81
9
86
6
4485
8526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
.
.
There are 3
places after the
decimal point
Move the decimal point of the product
3 places to the left for the answer.
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
28. I. count the total number of places to the right of the decimal point in both
decimal numbers,
II. take the decimal point at the right end of their product, count to the left
the same total–number of places, to place the decimal point.
47
7
81
9
86
6
4485
526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
.
.
There are 3
places after the
decimal point
Move the decimal point of the product
3 places to the left for the answer.
So move the decimal point
3 places left.
.. 8
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
29. I. count the total number of places to the right of the decimal point in both
decimal numbers,
II. take the decimal point at the right end of their product, count to the left
the same total–number of places, to place the decimal point.
47
7
81
9
86
6
4485
526 5
x
To multiply two decimal numbers, do exactly the same–then insert
the decimal point in the product at the correct place for the final
answer. To locate the position of the decimal point:
Multiplication and Division of Decimals
Example A. Multiply 9.74 x 6.7
.
.
There are 3
places after the
decimal point
Move the decimal point of the product
3 places to the left for the answer.
So move the decimal point
3 places left.
.. 8
Hence 9.74 x 6.7 = 65.258
Ignore the decimal points and multiply
974 x 67 = 65258. Put back the decimal
points to count the number of places after
them, which is 3.
30. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
Remove the trailing 0’s to the right for the multiplication decimal numbers.
b. Multiply 0.00012 x 0.00700.
31. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700
b. Multiply 0.00012 x 0.00700.
32. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
b. Multiply 0.00012 x 0.00700.
33. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
b. Multiply 0.00012 x 0.00700.
34. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
b. Multiply 0.00012 x 0.00700.
35. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
0.8 4.
b. Multiply 0.00012 x 0.00700.
36. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
So 1.200 x 0.700 = 0.84
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
0.8 4.
b. Multiply 0.00012 x 0.00700.
37. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
So 1.200 x 0.700 = 0.84
b. Multiply 0.00012 x 0.00700.
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
0.
0.00012 x 0.00700 = 0.00012 x 0.007 and 12 x 7 = 84.
8 4.
38. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
So 1.200 x 0.700 = 0.84
b. Multiply 0.00012 x 0.00700.
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
8 4. = 12 x 7
0.
0.00012 x 0.00700 = 0.00012 x 0.007 and 12 x 7 = 84.
There are eight places after the decimal points so move the point eight
place left and fill in 0’s as we move:
8 4.
39. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
So 1.200 x 0.700 = 0.84
b. Multiply 0.00012 x 0.00700.
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
8 4. = 12 x 7
0.
0.00012 x 0.00700 = 0.00012 x 0.007 and 12 x 7 = 84.
There are eight places after the decimal points so move the point eight
place left and fill in 0’s as we move:
8 4.
0.0 0 0 0 0 0
8 places
40. Multiplication and Division of Decimals
Example B. a. Multiply 1.200 x 0.700
So 1.200 x 0.700 = 0.84
b. Multiply 0.00012 x 0.00700.
There are two places
after the decimal points.
Remove the trailing 0’s to the right for the multiplication decimal numbers.
We can drop the extra trailing 0’s in 1.200 x 0.700 = 1.2 x 0.7.
Multiply 12 x 7 = 84.
So move the decimal point
two places left to place the
decimal point.
8 4. = 12 x 7
0.
0.00012 x 0.00700 = 0.00012 x 0.007 and 12 x 7 = 84.
There are eight places after the decimal points so move the point eight
place left and fill in 0’s as we move:
8 4.
0.0 0 0 0 0 0
8 placesHence 0.00012 x 0.00700 = 0.00000084.
41. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual
65
1.3
42. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual
65
1.3
= 1.3 ÷ 65
65
1.3Calculate
by long division.
43. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual
65
1.3
)6 5 1 . 3
= 1.3 ÷ 65
65
1.3Calculate
by long division.
44. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
65
1.3
)6 5 1 . 3
.
= 1.3 ÷ 65
65
1.3Calculate
by long division.
the decimal point place
45. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
65
1.3
)6 5 1 . 3
0 . 0
= 1.3 ÷ 65
65
1.3Calculate
by long division.
the decimal point place
46. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
65
1.3
)6 5 1 . 3 0
0 . 0
= 1.3 ÷ 65
65
1.3Calculate
by long division.
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
47. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0
= 1.3 ÷ 65
65
1.3Calculate
by long division.
the decimal point place
00 Pack trailing 0’s
so it’s enough to
enter a quotient
48. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
the decimal point place
00 Pack trailing 0’s
so it’s enough to
enter a quotient
49. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
Example C. a. Compute 0.0013 ÷ 0.00065
We change a problem of dividing two decimal numbers to a problem that is
a decimal number divided by an integer.
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
00
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
50. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
Example C. a. Compute 0.0013 ÷ 0.00065
We change a problem of dividing two decimal numbers to a problem that is
a decimal number divided by an integer. Write the problem as a fraction then
move the decimal points in tandem until the numerator is an integer.
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
0.00065
0.0013
Write 0.0013 ÷ 0.00065 as
00
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
51. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
Example C. a. Compute 0.0013 ÷ 0.00065
.
move 5 places so the numerator is an integer.
We change a problem of dividing two decimal numbers to a problem that is
a decimal number divided by an integer. Write the problem as a fraction then
move the decimal points in tandem until the numerator is an integer.
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
0.00065
0.0013
Write 0.0013 ÷ 0.00065 as
. =
.
65
13
.
0 0
00
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
52. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
Example C. a. Compute 0.0013 ÷ 0.00065
.
move 5 places so the numerator is an integer.
We change a problem of dividing two decimal numbers to a problem that is
a decimal number divided by an integer. Write the problem as a fraction then
move the decimal points in tandem until the numerator is an integer.
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
0.00065
0.0013
Write 0.0013 ÷ 0.00065 as =
.
65
13
.
0 0
= 2
Hence 0.0013 ÷ 0.00065 = 2
00
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
.
53. Multiplication and Division of Decimals
Example B. Compute by long division.
To divide a decimal number by an integer, do long division as usual and
leave the decimal point in the same position for the quotient .
Example C. a. Compute 0.0013 ÷ 0.00065
.
move 5 places so the numerator is an integer.
We change a problem of dividing two decimal numbers to a problem that is
a decimal number divided by an integer. Write the problem as a fraction then
move the decimal points in tandem until the numerator is an integer.
65
1.3
)6 5 1 . 3 0
1 3 0
2.
0Hence 1.3 ÷ 65 = 0.02
= 1.3 ÷ 65
65
1.3Calculate
by long division.
0.00065
0.0013
Write 0.0013 ÷ 0.00065 as =
.
65
13
.
0 0
= 2
Hence 0.0013 ÷ 0.00065 = 2
00
the decimal point place
Pack trailing 0’s
so it’s enough to
enter a quotient
.
55. Multiplication and Division of Decimals
Example C. b. Compute 0.00013 ÷ 0.65
0.65
0.00 013
Write 0.00013 ÷ 0.65 as
56. Multiplication and Division of Decimals
Example C. b. Compute 0.00013 ÷ 0.65
.
move 2 places
0.65
0.00 013
Write 0.00013 ÷ 0.65 as .
=
.65
0 013.
57. Multiplication and Division of Decimals
Example C. b. Compute 0.00013 ÷ 0.65
.
move 2 places
)65 0 .1 3
0.65
0.00 013
Write 0.00013 ÷ 0.65 as .
=
.65
0 013.
Calculate this by long division:
58. Multiplication and Division of Decimals
Example C. b. Compute 0.00013 ÷ 0.65
.
move 2 places
)65 0 .1 3 0
1 3 0
0 20 .0
0
0.65
0.00 013
Write 0.00013 ÷ 0.65 as .
=
.65
0 013.
Hence 0.0013 ÷ 0. 65 = 0.002.
Calculate this by long division: