Sliding Digits: ×10 Left, ÷10 Right

Mathematics · Number Representation & Place Value · ages 10-11

Name ______________________ Date ____________

A digit moves one place to the right. What happens to its value?
- It is multiplied by 10
- It is divided by 10
- It stays the same
What is 35 times 10?
Answer: ______________
A digit moves one place to the left. What happens to its value?
- Its value times 10
- Its value divided by 10
- It stays the same
- It times 100
A digit moves one place to the left. What happens to its value?
- It is multiplied by 10
- It is divided by 10
- It stays the same
The 6 in 6,000 and the 6 in 0.006 are worth the same amount, since they are both the digit 6.
Circle one: True False
A digit is worth 0.5, or 5 tenths. What would it be worth if it moved one place to the left?
- 5 (5 ones)
- 0.05 (5 hundredths)
- 50 (5 tens)
How many times bigger is the 6 in 6,000 than the 6 in 0.006?
- 1,000,000 times
- 1,000 times
- 100 times
- 10 times
In the number 5.3, the 3 is worth 3 tenths (0.3). If that 3 moved one more place to the right, what would it be worth?
Answer: ______________
Mia says the 4 in 0.4 and the 4 in 0.04 are worth the same, because they are both the digit 4. What is wrong with her thinking?
- She ignored that the place of a digit decides its value
- She is correct, both are worth the same
- She should have compared the digits before the decimal point instead
How many times more is the 6 in 6,000 worth than the 6 in 0.006?
- 1,000 times
- 10,000 times
- 1,000,000 times

Answer key

For grown-ups. Fold this page away before handing over the rest.

It is divided by 10 · Each step to the right makes a digit worth one tenth as much.
350 · 35 x 10 = 350.
Its value times 10 · Moving left multiplies by 10 each place.
It is multiplied by 10 · Each step to the left makes a digit worth ten times as much.
False · Place decides value. The 6 in 6,000 means six thousand; the 6 in 0.006 means six thousandths, nowhere close.
5 (5 ones) · Moving left multiplies the value by 10: 0.5 times 10 is 5.
1,000,000 times · From thousandths to thousands is 6 places: 10^6 = 1,000,000.
0.03 · One more step right divides the value by 10 again: 0.3 divided by 10 is 0.03.
She ignored that the place of a digit decides its value · The digit alone does not set the value. 0.4 is four tenths, ten times more than the four hundredths in 0.04.
1,000,000 times · Getting from thousands to thousandths takes six times-10 jumps: 6,000, 600, 60, 6, 0.6, 0.06, 0.006. Six jumps of times 10 makes 1,000,000.