Problem: Multiply Single Digit Decimals Word Problems
The task involves solving word problems that require multiplying single-digit decimals. Below are the problems and their solutions with detailed explanations.
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Problem 1:
Pencils cost a school £0.07 each. A box holds 12 pencils. How much do 2 boxes cost the school?
Solution:
1. Cost of one pencil = £0.07
2. Number of pencils in one box = 12
3. Cost of one box = \( 12 \times 0.07 \)
- Perform the multiplication:
\[
12 \times 0.07 = 0.84
\]
- So, one box costs £0.84.
4. Number of boxes = 2
5. Total cost for 2 boxes = \( 2 \times 0.84 \)
- Perform the multiplication:
\[
2 \times 0.84 = 1.68
\]
Answer: £1.68
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Problem 2:
A set of miniature gauge railway track contains 18 pieces that are 0.3m long. How long would the railway be when all the pieces are put together?
Solution:
1. Length of one piece of track = 0.3 meters
2. Number of pieces = 18
3. Total length of the railway = \( 18 \times 0.3 \)
- Perform the multiplication:
\[
18 \times 0.3 = 5.4
\]
Answer: 5.4 meters
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Problem 3:
A shop buys a box of 72 mini chocolate bars from a wholesaler for £0.05 each. How much does the box cost?
Solution:
1. Cost of one mini chocolate bar = £0.05
2. Number of mini chocolate bars in one box = 72
3. Total cost of the box = \( 72 \times 0.05 \)
- Perform the multiplication:
\[
72 \times 0.05 = 3.6
\]
Answer: £3.60
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Problem 4:
Small boxes of sunflower seeds weigh 0.08kg each. How much will 54 boxes weigh?
Solution:
1. Weight of one small box = 0.08 kg
2. Number of boxes = 54
3. Total weight of 54 boxes = \( 54 \times 0.08 \)
- Perform the multiplication:
\[
54 \times 0.08 = 4.32
\]
Answer: 4.32 kg
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Final Answers:
1. £1.68
2. 5.4 meters
3. £3.60
4. 4.32 kg
Boxed Final Answer:
\[
\boxed{1.68, 5.4, 3.60, 4.32}
\]
Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.
