Decimals & Long Division — Practice
Place value carries on past the point, which is why the old methods still work.
What these questions cover
These questions use 3 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Divisor — The polynomial you are dividing by.
- Remainder — What is left when the divisor no longer fits. Always lower degree than the divisor.
- Place value — What each digit is worth, depending on its column.
Problem 1
Work out 4.5 + 12.35.
Worked answer
16.85
4.50 + 12.35 = 16.85
Problem 2
Work out 0.7 + 0.35.
Worked answer
1.05
0.70+0.35 = 1.05
Problem 3
Work out 9.4 - 3.75.
Worked answer
5.65
9.40-3.75 = 5.65
Problem 4
Work out 0.3 × 0.4.
Worked answer
0.12
3 × 4 = 12
Two places: 0.12
Problem 5
Work out 1.2 × 5.
Worked answer
6
12 × 5 = 60
One place: 6.0
Problem 6
Work out 7.2 ÷ 4.
Worked answer
1.8
72 ÷ 4 = 18
So 1.8
Problem 7
Work out 1.44 ÷ 0.6.
Worked answer
2.4
14.4 ÷ 6 = 2.4
Problem 8
Work out 0.96 ÷ 0.4.
Worked answer
2.4
9.6 ÷ 4 = 2.4
Problem 9
Work out 0.25 × 0.8.
Worked answer
0.2
25 × 8 = 200
Three places: 0.200 = 0.2
Problem 10
Share $47.85 equally among 5 people. How much each?
Worked answer
9.57
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Problem 11
A $18.60 bill is split 3 ways. How much each?
Worked answer
6.2
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Problem 12
Write 0.75 as a fraction in lowest terms.
Worked answer
3/4
75100
Divide both by 25: 34
Problem 13
Write 38 as a decimal.
Worked answer
0.375
3 ÷ 8 = 0.375
Problem 14
Which is the best estimate for 0.48 × 19.7?
- About 10
- About 1
- About 100
- About 0.5
Worked answer
About 10
0.5 × 20 = 10
Problem 15
Work out 47 ÷ 5 as a decimal.
Worked answer
9.4
47 ÷ 5 = 9 remainder 2
20 ÷ 5 = 4 tenths
9.4
Problem 16
A ribbon costs $1.25 per metre. What do 3.2 metres cost?
Worked answer
4
125 × 32 = 4000
Three decimal places: 4.000