Worksheet for practicing multiplication of decimal numbers with step-by-step instructions and examples.

Let's solve the problem step by step.

The worksheet is titled "Delicious Decimals: Multiplying Decimals", and it provides a guide on how to multiply decimals:

Steps to Multiply Decimals:

1. Line the numbers up on the right (you do not need to line up the decimal points).
2. Multiply as if they were whole numbers.
3. Add up how many decimal places are in each number.
4. Start at the right of your answer and move the decimal point equal to the sum of decimal places.

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We'll go through each problem using these steps.

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a. $ 9.78 \times 3 $

- Multiply as whole numbers:
$ 978 \times 3 = 2934 $
- Count decimal places:
9.78 has 2 decimal places, 3 has 0 → total = 2
- Place decimal point:
Move from right 2 places → $ 29.34 $

✔ Answer: 29.34

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b. $ 21.77 \times 3.11 $

- Multiply as whole numbers:
$ 2177 \times 311 = ? $

Let’s compute:

First, break it down:
- $ 2177 \times 300 = 653,100 $
- $ 2177 \times 10 = 21,770 $
- $ 2177 \times 1 = 2,177 $

Add them:
- $ 653,100 + 21,770 = 674,870 $
- $ 674,870 + 2,177 = 677,047 $

Now count decimal places:
- 21.77 → 2 decimal places
- 3.11 → 2 decimal places
- Total = 4 decimal places

So, place decimal point 4 places from the right:
$ 67.7047 $

✔ Answer: 67.7047

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c. $ 4.7 \times 4.7 $

- Multiply: $ 47 \times 47 = 2209 $
- Decimal places: 1 + 1 = 2
- So, $ 22.09 $

✔ Answer: 22.09

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d. $ 78.9 \times 8.6 $

- Multiply: $ 789 \times 86 $

Break it down:
- $ 789 \times 80 = 63,120 $
- $ 789 \times 6 = 4,734 $
- Add: $ 63,120 + 4,734 = 67,854 $

Decimal places: 1 + 1 = 2 → move decimal 2 places left → $ 678.54 $

✔ Answer: 678.54

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e. $ 101 \times 5.7 $

- Multiply: $ 101 \times 57 = ? $

$ 100 \times 57 = 5,700 $
$ 1 \times 57 = 57 $
Total = $ 5,757 $

Decimal places: 5.7 has 1 → total = 1

Move decimal one place left: $ 575.7 $

✔ Answer: 575.7

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f. $ 4.686 \times 8 $

- Multiply: $ 4686 \times 8 = 37,488 $
- Decimal places: 3 (from 4.686) + 0 = 3
- Move decimal 3 places left → $ 37.488 $

✔ Answer: 37.488

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g. $ 65.9 \times 1.4 $

- Multiply: $ 659 \times 14 $

$ 659 \times 10 = 6,590 $
$ 659 \times 4 = 2,636 $
Total = $ 6,590 + 2,636 = 9,226 $

Decimal places: 1 + 1 = 2 → $ 92.26 $

✔ Answer: 92.26

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h. $ 9.268 \times 6.5 $

- Multiply: $ 9268 \times 65 $

Break it down:
- $ 9268 \times 60 = 556,080 $
- $ 9268 \times 5 = 46,340 $
- Add: $ 556,080 + 46,340 = 602,420 $

Decimal places: 3 + 1 = 4 → move decimal 4 places left → $ 60.2420 $

✔ Answer: 60.242

(Note: Trailing zero can be dropped → $ 60.242 $)

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i. $ 5.49 \times 9.2 $

- Multiply: $ 549 \times 92 $

$ 549 \times 90 = 49,410 $
$ 549 \times 2 = 1,098 $
Total = $ 49,410 + 1,098 = 50,508 $

Decimal places: 2 + 1 = 3 → move 3 places → $ 50.508 $

✔ Answer: 50.508

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j. $ 71.30 \times 6.3 $

Note: 71.30 is same as 71.3 (but we’ll keep two decimal places for accuracy)

- Multiply: $ 7130 \times 63 $

Break it down:
- $ 7130 \times 60 = 427,800 $
- $ 7130 \times 3 = 21,390 $
- Total = $ 427,800 + 21,390 = 449,190 $

Decimal places: 2 (from 71.30) + 1 (from 6.3) = 3

Move decimal 3 places → $ 449.190 $ → $ 449.19 $

✔ Answer: 449.19

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k. $ 3.489 \times 2.4 $

- Multiply: $ 3489 \times 24 $

$ 3489 \times 20 = 69,780 $
$ 3489 \times 4 = 13,956 $
Total = $ 69,780 + 13,956 = 83,736 $

Decimal places: 3 + 1 = 4 → move 4 places → $ 8.3736 $

✔ Answer: 8.3736

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Final Answers:

| Problem | Answer |
|--------|--------------|
| a | 29.34 |
| b | 67.7047 |
| c | 22.09 |
| d | 678.54 |
| e | 575.7 |
| f | 37.488 |
| g | 92.26 |
| h | 60.242 |
| i | 50.508 |
| j | 449.19 |
| k | 8.3736 |

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✔ All problems solved using the standard decimal multiplication method.
You can now fill in the answers on the worksheet accordingly. Let me know if you'd like a printable version or help with checking!