IT CONTAIN PLACE VALUE AND STANDARD FORM OF WRITING BOTH LARGE AND SMALL NUMBERS

1. Review
1. Group and write 4052136521478 in words
2. What is the place value of 4 in 0.00000024

2. Answers
1. Four trillion , fifty two billion , one hundred and thirty six million,
five hundred and twenty one thousand, four hundred and seventy
eight.
2. Hundred millionth.

3. What math tool is helpful to read out
numbers and tell their values?
• Place Value

4. Now I that I know place value what next?

5. Yeah! It’s important to know:
 Shorter way of writing very
large numbers or very small
numbers
Which math topic teaches me this?

6. STANDARD FORM

7. Rules in changing ordinary number to
standard form
• In scientific notation we write a number in this format:
• A x 10n
• In this notation:
• A is a number that's known as the coefficient. The coefficient must be
greater than or equal to 1 but less than 10. That is, 1 ≤ A < 10.
• 'x' is the multiplication sign pronounced as 'times.'
• 10 is the base, and it must always be 10 in scientific notation.
• n is a number that's the exponent, also known as the power of 10.

8. Examples
• Write 10000000000000000000000000000000000000000000 in standard form.
• Solution:
Step 1:
Move the number's decimal point so that it's located right after the first non-zero digit in the number:
1.0000000000000000000000000000000000000000000
Step 2:
Count the number of places from this new decimal point to where the decimal point used to be. If you moved the decimal point to
the left, the exponent is positive, otherwise it’s negative.
There are 43 leftward places from the new decimal point to the place where it was originally. This is your exponent (power): 43.
Step 3:
Drop any zeroes that are located before the first non-zero digit and after the last non-zero digit to be left with your coefficient. All
we're left with is 1 since this is our only non-zero number anywhere. This means our coefficient is 1.
Step 4:
Combine steps 2 and 3 to get 1 x 1043 (which is the same thing as 1043).
Boom! You're done.

9. • Example 1
Convert 5675000000 into standard notation:
Solution
Remember: A x 10n
5675000000. = 5.675 x 1000000000
= 5.675 x 109

10. Exercise
1. Write 24 848 in expanded form.
2. Express the following in standard form;
(a) 54000
(b) 303164
(c) 263.478
(d) 364.0
(e) 600.84
3. Find the value of A if 460000 = A × 105