This document contains a mathematics lesson on whole numbers, place value, rounding, and solving word problems. It includes examples of writing numbers in expanded and standard form, determining place values, rounding numbers, testing for divisibility, and solving multi-step word problems involving operations on whole numbers. The lesson concludes with additional challenge problems applying the concepts covered.
let us revise - 3 digit numbers- number name , place value,expanded form, numbers on abacus ,comparing numbers, ascending and descending order, even and odd numbers , cardinal and ordinal numbers , addition, subtraction , multiplication and division.
More companies in the process of recruitment, play more emphasis in the topic of numbers in numerical aptitude. Especially for AMCAT aspirants this is very much useful.
A Summary of Concepts Needed to be Successful in Mathematics
The following sheets list the key concepts that are taught in the specified math course. The sheets
present concepts in the order they are taught and give examples of their use.
WHY THESE SHEETS ARE USEFUL –
• To help refresh your memory on old math skills you may have forgotten.
• To prepare for math placement test.
• To help you decide which math course is best for you.
let us revise - 3 digit numbers- number name , place value,expanded form, numbers on abacus ,comparing numbers, ascending and descending order, even and odd numbers , cardinal and ordinal numbers , addition, subtraction , multiplication and division.
More companies in the process of recruitment, play more emphasis in the topic of numbers in numerical aptitude. Especially for AMCAT aspirants this is very much useful.
A Summary of Concepts Needed to be Successful in Mathematics
The following sheets list the key concepts that are taught in the specified math course. The sheets
present concepts in the order they are taught and give examples of their use.
WHY THESE SHEETS ARE USEFUL –
• To help refresh your memory on old math skills you may have forgotten.
• To prepare for math placement test.
• To help you decide which math course is best for you.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
6. C. Write the place value and the corresponding value of the
underlined digit of each of the following numbers in the table
provided.
1. 28, 390 2. 827, 571 3. 328, 574 4. 1, 256, 408 5. 4,782,031
Place
value
Value
tens
90
hundreds
500
Ten
thousands
20,000
thousands
6,000
millions
4,000,000
7. D. Give the place value of the digit in ( ); then
round the number to that place value.
1. 14 4(6)7
2. 87 (5)16
3. 17(4) 256
4. (2)33 721
5. 9(4)7 183
tens 14 470
hundreds 87 500
thousands 174 000
Hundred thousands 200 000
ten thousands 950 000
8. D. Give the place value of the digit in ( ); then
round the number to that place value.
6. 92(1) 785
7. 5(3)56 723
8. (6) 679 382
9. (1)6 674 102
10. 2 3(1)5 906
hundreds 921 000
Hundred thousands 5 400 000
millions 7 000 000
Ten millions 20 000 000
ten thousands 2 320 000
10. E. Complete the table below by enumerating the
divisibility value of the given numbers
Given Number Divisibilties
1. 45
2. 369
3. 7,870
4. 1,976
5. 6,003
6. 1,674
7. 35,496
8. 91,350
3, 5, 9
3, 9
2, 5, 10
2
3, 9
2, 3, 5, 6, 9,10
2, 3, 6, 9
2, 3, 4, 6, 9
11. F. Fill up the blank with a digit to make the resulting number divisible by
the number to its right
1. 35 ______; 2 2. 82 ______; 3 3. 82 ______; 6
4. 91______; 5 5. 93 ______; 3 6. 90 ______; 6
7.105 _____; 4 8. 728 _____; 6
2 5 2
5 3 6
6 4
13. Least Number Greatest Number
1. 180 ___ ______
2. 950 _____ ______
3. 640 ___ _______
4. 4 360 _____ _______
5. 75 720 __________ __________
G. Give the least and the greatest possible number
that rounds to the nearest ten.
175 184
945 954
635 644
4 355 4 364
75 715 75 724
15. H. Answer each of the following problems:
1. My number is less than 100. I am divisible by 2, 4, 7 and 8. The sum of
my digits is 11. What number am I?
2. I am a 3-digit number which is divisible by 2, 3, 4, 5, 6 and 8. The sum of
my digits is 3.
The number divisible by 2, 4, 7 and 8 and the sum of whose digits is 11 is 56.
The number divisible by 2, 3, 4, 5, 6 and 8 and the sum of the digits is 3 is 120.
Answer:
Answer:
16. H. Answer each of the following problems:
3. Rounding this number to the nearest 10 makes it 340; rounding it to the
nearest hundred makes it 300. The sum of its digits is 11. What number is it? If
the sum of the digits is not required, how many numbers can you find that
satisfy the first conditions.
The number that satisfies all conditions is 344. If the sum of the digits is not required,
341, 342, 343 satisfy the rounding conditions.
Answer:
17. H. Answer each of the following problems:
4. What is the smallest whole number A that will make 12-A < 5, true?
12 – A < 5, so A > 7 or 7< A, therefore the set of whole numbers N that will make the
sentence true is {8, 9, 10, 11, 12…}. The smallest whole number is 8.
Answer:
18. H. Answer each of the following problems:
4. What is the smallest whole number A that will make 12-A < 5, true?
5. How many times as great is the place value of 5 in 51470 than that of 7?
12 – A < 5, so A > 7 or 7< A, therefore the set of whole numbers N that will make the
sentence true is {8, 9, 10, 11, 12…}. The smallest whole number is 8.
Answer:
Answer:
Five’s place value is 1000 times as great as that of 7.
19. H. Answer each of the following problems:
6. What is the tens digit of (5 x 100) + (7 x 40) + (8 x 4)?
7. What is the smallest whole number that round to 3000 to the nearest
thousands?
(5 x 100) + (7 x 40) + (8 x 4) = 500 + 280 + 32 = 812. Therefore, the tens digit is 1.
Answer:
Answer:
The answer is 2500.
20. H. Answer each of the following problems:
8. When a number is divided by 8, the answer is 145. What is the answer when
the same number is divided by 10?
9. A number is divided by three-fourths of it. Then the quotient is multiplied by
half of the original number. The product is 16. What is three-fourths of the
number?
To solve for the number ; N÷ 8 = 145, so 145 x 8 = N, and N = 1160. 1160 ÷ 10 = 116
Answer:
Answer:
We let,
1
2
𝑁
𝑁
3𝑁
4
= 16 .N = 24, therefore ¾(24) = 18.
21. H. Answer each of the following problems:
10. The digits of the number 5342 are rearranged in descending order
and then in ascending order. What is the difference between the
resulting numbers?
Arranged in descending order is 5432, while in ascending order is 2345,
therefore 5432 - 2345 = 3087.
Answer:
24. Solve the following problems.
1. A number has 9 ones and 2 fewer tens than ones. What is
the number?
2 fewer tens than ones is equal to 9 - 2 = 7. Therefore, the number has
7 tens and 9 ones. The number is 79.
25. Solve the following problems.
1. A 4-digit number has a 6 in the thousands place, a 9 in the
ones place and 0s elsewhere. What is the number?
The number is 6009.
26. Solve the following problems.
3. What digit is in the tens place in the sum 25 + 35
+ 55?
25 + 35 + 55 = 32 + 243 + 3,125 = 3400. The tens d is zero or 0.
27. Solve the following problems.
4. If a number is multiplied by itself the result is 54A96. If the
resulting number is divisible by 3, what is the value of the
digit A?
A number is divisible by 3 if the sum of its digits is divisible by 3. So, 5 + 4 +
A + 9 + 6 = 24 + A, therefore A = 3.
28. Solve the following problems.
5) The digits 1, 2, 3, 4, and 5 are each used once to composed a
five –digit number math, such that the three-digit number mat is
divisible by 4, ath is divisible by 5, and ths is divisible by 3. What is
the value of the digit m?
𝑚𝑎𝑡
4
,
𝑎𝑡ℎ
5
,
𝑡ℎ𝑠
3
;
124
4
,
245
5
,
453
3
. Therefore 𝑚 = 𝟏.
