Turning a fraction into a decimal

Mathematics · Fractions · ages 10-11

Name ______________________ Date ____________

Which decimal equals 7/10?
- 0.7
- 7.0
- 0.07
- 0.007
0.02 is the same amount as 2/100.
Circle one: True False
What does the fraction 5/8 mean as a division?
- 5 ÷ 8
- 8 ÷ 5
- 5 × 8
1/5 is the same amount as 20%.
Circle one: True False
Lia writes 0.45 = 45/100 = 9/10. She divided the top by 5 and the bottom by 10. Which simplest fraction should replace 9/10?
- 45/10
- 9/100
- 9/20
- 5/20
Which fraction is 0.8 in its simplest form?
- 8/10
- 4/5
- 8/100
- 4/10
While dividing 1 by 8, you divide 10 tenths by 8 and get 1 tenth with 2 tenths left. How many hundredths are those 2 tenths?
- 2
- 12
- 20
- 200
Sam divides 1 by 8 and gets 0.125. What percentage is exactly equal to 0.125?
- 1.25%
- 12.5%
- 125.0%
Mia needs the exact decimal for 5/8, but writes 0.63 after rounding. Which value should she use?
- 0.625
- 0.630
- 0.600
Nora puts 0.4, 40% and 2/5 in three different places on a number line because they look different. Which check explains where they belong?
- 40% = 0.04 and 2/5 = 0.4, so 40% belongs further left.
- 40% = 0.4 and 2/5 = 0.5, so 2/5 belongs further right.
- 40% = 0.4 and 2/5 = 0.4, so all three share one place.
- 40% = 4.0 and 2/5 = 0.4, so 40% belongs further right.

Answer key

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

0.7 · A denominator of 10 means one digit after the decimal point, so 7/10 = 0.7.
True · The 2 is in the hundredths place. That makes 0.02 equal to two hundredths, or 2/100.
5 ÷ 8 · A fraction means its top number divided by its bottom number, so 5/8 means 5 ÷ 8.
True · 0.2 equals 20 out of 100, which is 20%.
9/20 · To keep the value equal, divide the top and bottom by the same number. Dividing both by 5 gives 45/100 = 9/20.
4/5 · 0.8 = 8/10. Divide both 8 and 10 by 2 to get 4/5, which has no common factor greater than 1.
20 · Each tenth is 10 hundredths. The remaining 2 tenths become 20 hundredths for the next division step.
12.5% · Multiply 0.125 by 100 and add the percent sign: 0.125 = 12.5%.
0.625 · 5 ÷ 8 = 0.625 exactly. The value 0.63 is a rounded estimate, so it does not give the exact amount.
40% = 0.4 and 2/5 = 0.4, so all three share one place. · 40 ÷ 100 = 0.4 and 2 ÷ 5 = 0.4. All three forms give the same value, so they occupy the same point.