Multiplying and Dividing Decimals by 10, 100, or 1000

4.10 X ? = 4100

• 100

• 10 000

• 1000

• 10 000

6.8 ÷ 1000 =

• 68

• 0.68

• 0.0068

• 6.8

What is 702.3 divided by 100?

• 70.23

• 7.023

• 7023

• 0.7023

^{Work out the missing number:}
___  x  10  = 15

• 5

• 150

• 1.05

• 0.15

35 400 ÷ _______ = 35.4

• 10

• 100

• 1000

Each place to the left is how many times greater than the place to the right?

• 100

• 1

• 10

• 1000

Dividing by 10 is the same as

• Multiplying by 0.01 or finding $\frac{1}{10}$ of a number

If I wanted to divide 84.38 by 10, I would just have to

• Add a zero on the end to make it 84.380

• Add a zero to the tenths place to make it 84.038

• Move the decimal one place to the right to make it 843.8

• Move the decimal one place to the left to make it 8.438

Solve.
3.452 x 1000

• 345.2

• 3452

• .3452

• 34.52

Why did they move the decimal point one place out of the divisor (the number outside the division symbol) and also one place out of the dividend (the number inside the division symbol)?

• This is incorrect. You don't need to worry about decimals when you divide at all.

• Because you cannot divide by a decimal divisor. You have to multiply both parts of the problem by a number like 10, 100, 1000, etc. to remove the decimal point.