Powers of Ten and Place Value

Powers of 10

• The powers of ten are numbers that can be formed by multiplying 10 by itself. 

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Example: 10³ = 10 x 10 x 10 = 1000

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• ​In this lesson, we will be multiplying and dividing decimals by powers of 10.

BASE 10 SySTEM

How many fingers do you have?

Why do you think our number system is a base ten system?

Poll

Have you used base ten blocks before to represent numbers?

• Yes

• No

• Not Sure

Open Ended

What does the word "product" mean in maths?

PRODUCT

Product: Answer to a multiplication problem.

Example: 10 x 10 = 100; the product is 100

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Think: MULTIPLY.

Multiple Choice

What is the product of 4 and 6?

• 12

• 10

• 24

• 60,000

Multiple Choice

What is the product of 4 and 3?

• 12

• 10

• 24

• 60,000

MULTIPLYING BY POWERS OF 10

• ​When multiplying by powers of 10, move the decimal point to the right the same number of spaces as there are 0's.

• 10 --> move one space right.

• 100 --> move two spaces right.

• 1000 --> move three spaces right.

• 10000 --> move four spaces right.

Multiple Choice

When multiplying by powers of 10,the decimal point is moved to the _____ for each zero.

• right

• left

Multiple Choice

26.37 x 10 =

• 2.637

• 26.37

• 263.7

Multiple Choice

1.038 x 100 =

• 103.8

• 10.38

• 1038

Multiple Choice

0.7045 x 1000 =

• 70.45

• 704.5

• 7.045

Multiple Choice

4.183 x 1000 =

• 41.83

• 418.3

• 4183

DIviding BY POWERS OF 10

• ​When dividing by powers of 10, move the decimal point to the left the same number of spaces as there are 0's.

• 10 --> move one space left.

• 100 --> move two spaces left.

• 1000 --> move three spaces left.

• 10000 --> move four spaces left.​

Multiple Choice

When dividing by powers of 10,the decimal point is moved to the _____ for each zero.

• right

• left

Multiple Choice

32.23 $$\div$$   10

• 3.223

• 32.23

• 322.3

• 3223

Multiple Choice

753 ÷ 100

Hint: The decimal point is invisible and is on the right of the 3.

• 0.753

• 753

• 75.3

• 7.53

Multiple Choice

What is 19.7 ÷ 10?

• 1.97

• .197

• 197

Multiple Choice

986 000 ÷ 100

Hint: When you divide and get 9860.00, you don't have to include the decimal part.

• 986 000

• 98 600

• 986

• 9860

Multiple Choice

986 000 ÷ 1000

• 986 000

• 98 600

• 986

• 9860

Multiple Choice

986 ÷ 1000

• 986

• 98.6

• 0.986

• 986000

Multiple Choice

12 ÷ 1000

Hint: Move to the left, and add extra zeros in any blank spots.

• 12

• 0.12

• 0.012

• 12000

Open Ended

How well do you understand today's work? Do you have any questions? Write them down below.