Let's solve each problem step by step. These are decimal multiplication problems, so we'll focus on multiplying decimals correctly and interpreting the context.
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1) A bakery used 4 cups of flour to make a full-size cake. If they wanted to make a cake that was 0.5 the size, how many cups of flour would they need?
- We need to find 0.5 times the original amount.
- $ 4 \times 0.5 = 2 $
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Answer: 2 cups
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2) On Halloween 2 friends each received 0.1 of a pound of candy. How much candy did they receive total?
- Each got 0.1 lb, two friends:
- $ 0.1 \times 2 = 0.2 $
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Answer: 0.2 pounds
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3) Janet can read 3.40 pages of a book in a minute. If she read for 3.22 minutes, how much would she have read?
- Multiply rate × time:
- $ 3.40 \times 3.22 $
- Let's compute:
- $ 3.40 \times 3.22 = ? $
- First, ignore decimals: $ 340 \times 322 = ? $
- $ 340 \times 300 = 102,000 $
- $ 340 \times 20 = 6,800 $
- $ 340 \times 2 = 680 $
- Total: $ 102,000 + 6,800 + 680 = 109,480 $
- Now, count decimal places: 3.40 has 2, 3.22 has 2 → total 4 decimal places
- So $ 109,480 $ becomes $ 10.9480 $ → $ 10.948 $
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Answer: 10.948 pages
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4) A geologist had two rocks on a scale that weighed 3.3 kilograms together. Rock A was 0.1 of the total weight. How much did rock A weigh?
- Total weight = 3.3 kg
- Rock A is 0.1 of that:
- $ 3.3 \times 0.1 = 0.33 $
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Answer: 0.33 kg
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5) Janet collected 4 times as many bags of cans as her friend. If her friend collected 0.87 of a bag, how much did Janet collect?
- $ 4 \times 0.87 = 3.48 $
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Answer: 3.48 bags
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6) Each day a carwash used 4.70 liters of soap. After 2 days, how much soap would they have used?
- $ 4.70 \times 2 = 9.40 $
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Answer: 9.40 liters
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7) At the animal shelter 0.64 of the animals are cats. Of the cats 0.63 are male. What amount of the animals at the shelter are male cats?
- This is a fraction of a fraction:
- $ 0.64 \times 0.63 $
- Compute:
- $ 64 \times 63 = 4032 $
- Decimal places: 2 + 2 = 4 → $ 0.4032 $
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Answer: 0.4032 of the animals are male cats
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8) Janet needed 2.7 meters of thread to finish a pillow she was making. If she has 4 times as much thread as she needs, what is the length of the thread she has?
- $ 2.7 \times 4 = 10.8 $
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Answer: 10.8 meters
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9) A full package of paper weighs 4.77 kilograms. If George put 4.48 packages of paper on a scale, how much would they weigh?
- $ 4.77 \times 4.48 $
- Let's compute:
- First, $ 477 \times 448 $
- Break it down:
- $ 477 \times 400 = 190,800 $
- $ 477 \times 40 = 19,080 $
- $ 477 \times 8 = 3,816 $
- Add: $ 190,800 + 19,080 = 209,880 + 3,816 = 213,696 $
- Now, decimal places: 4.77 has 2, 4.48 has 2 → total 4
- So $ 213,696 $ → $ 21.3696 $
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Answer: 21.3696 kilograms
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10) A new washing machine used 2.47 liters of water per full load to clean clothes. If George washed 4.7 loads of clothes, how many liters of water would he use?
- $ 2.47 \times 4.7 $
- Compute:
- $ 247 \times 47 $
- $ 247 \times 40 = 9,880 $
- $ 247 \times 7 = 1,729 $
- Total: $ 9,880 + 1,729 = 11,609 $
- Decimal places: 2.47 has 2, 4.7 has 1 → total 3
- So $ 11,609 $ → $ 11.609 $
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Answer: 11.609 liters
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✔ Final Answers:
1.
2
2.
0.2
3.
10.948
4.
0.33
5.
3.48
6.
9.40
7.
0.4032
8.
10.8
9.
21.3696
10.
11.609
You can now fill these into the "Answers" column on your worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals word problems worksheet 6th grade.
