Let’s go through each section step by step.
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Section A: Quick calculations
These are simple multiplications and divisions by 10. Remember:
- Multiplying by 10 moves the decimal point one place to the right.
- Dividing by 10 moves the decimal point one place to the left.
1) 0.6 × 10 =
6
2) 91 ÷ 10 =
9.1
3) 40.8 × 10 =
408
4) 875 ÷ 10 =
87.5
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Section B: Use whole number multiplication to help with decimals
First, solve the whole number problems (1–5), then use those answers to solve the decimal versions (6–10).
1) 27 × 3 =
81 → So 2.7 × 3 =
8.1 (move decimal one place left)
2) 84 × 5 =
420 → So 8.4 × 5 =
42.0 or
42
3) 62 × 9 =
558 → So 62 × 0.9 =
55.8 (since 0.9 is 9/10, divide 558 by 10)
4) 108 × 6 =
648 → So 108 × 0.6 =
64.8
5) 639 × 8 =
5112 → So 63.9 × 8 =
511.2
So answers for Section B:
1) 81
2) 420
3) 558
4) 648
5) 5112
6) 8.1
7) 42
8) 55.8
9) 64.8
10) 511.2
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Section C: Multiply whole numbers by decimals
Just multiply as usual, then place the decimal correctly.
1) 3 × 0.4 =
1.2
2) 9 × 0.7 =
6.3
3) 8 × 0.2 =
1.6
4) 0.6 × 4 =
2.4
5) 4 × 1.9 =
7.6
6) 5 × 2.7 =
13.5
7) 6 × 3.8 =
22.8
8) 9.3 × 2 =
18.6
9) 7 × 16.2 =
113.4
10) 13.9 × 8 =
111.2
11) 4 × 57.4 =
229.6
12) 36.4 × 7 =
254.8
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Section D: Word problems
Problem 1:
Daniel wants to lose 1.2 kg each week for 9 weeks.
Total weight loss = 1.2 × 9
→ 1.2 × 9 =
10.8 kg
Problem 2:
Anita has $1.55. Apples cost $0.30 each.
a) Cost of 6 apples = 6 × 0.30 =
$1.80
She has $1.55 → $1.55 < $1.80 →
No, she does not have enough money.
b) Cost of 10 apples = 10 × 0.30 =
$3.00
She has $1.55 → Needs $3.00 - $1.55 =
$1.45 more
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Final Answer:
Section A: 6, 9.1, 408, 87.5
Section B: 81, 420, 558, 648, 5112, 8.1, 42, 55.8, 64.8, 511.2
Section C: 1.2, 6.3, 1.6, 2.4, 7.6, 13.5, 22.8, 18.6, 113.4, 111.2, 229.6, 254.8
Section D:
1) 10.8 kg
2) a) No
b) $1.45
Parent Tip: Review the logic above to help your child master the concept of 6th grade decimal worksheet.
