Multiplying Decimals by Tens, Hundreds and Thousands

When multiplying with decimals, you -

• line up the decimals

• "Raise the roof"

• "Slide & Slide"

• bump out the decimals, multiply, & bump them back in

What is the product of 5.3 x 100

• 53

• 0.53

• 530

• 5,300

When multiplying a decimal by 100....

• Each digit moved to the right one place

• Each digit moves to the left one place

• Each digit moves to the left two places

• Each digit moves to the right two places

What is the product of 0.324 x 1,000

• 3,240

• 3.24

• 32.4

• 324

0.291 x 100

• 0.0291

• 2.91

• 29.1

• 291

123.9 x 1000

• 1,239

• 0.1239

• 123,900

• 1,239.000

42.015 x 1000

​ (a)   ​ (b)   ​​ ​ (c)   ​ (d)   ​ (e)  

• 4

• 2

• 0

• 1

• 5

• .

0.068 x 10

• 6.8

• 0.68

• 68

• 680

45.89 x 100

Mathematical Equivalence

ON

459.36×10=
(round to the nearest tenth)

• 45.936

• 4.5936

• 4593.6

• 459.36