Math worksheet for multiplying 3-digit multiples of 10 by 2-digit numbers.

Let's solve each multiplication problem step by step. The task is to multiply 3-digit multiples of 10 with 2-digit numbers.

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🔹 Problem 1:

260 × 91

We can break this down using the distributive property:

$$
260 × 91 = 260 × (90 + 1) = (260 × 90) + (260 × 1)
$$

- $260 × 90 = 260 × 9 × 10 = (2340) × 10 = 23,400$
- $260 × 1 = 260$

Now add:
$$
23,400 + 260 = \boxed{23,660}
$$

✔ Answer: 23,660

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🔹 Problem 2:

690 × 65

Break 65 into 60 + 5:

$$
690 × 65 = 690 × (60 + 5) = (690 × 60) + (690 × 5)
$$

- $690 × 60 = 690 × 6 × 10 = 4,140 × 10 = 41,400$
- $690 × 5 = 3,450$

Add:
$$
41,400 + 3,450 = \boxed{44,850}
$$

✔ Answer: 44,850

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🔹 Problem 3:

950 × 15

Break 15 into 10 + 5:

$$
950 × 15 = 950 × (10 + 5) = (950 × 10) + (950 × 5)
$$

- $950 × 10 = 9,500$
- $950 × 5 = 4,750$

Add:
$$
9,500 + 4,750 = \boxed{14,250}
$$

✔ Answer: 14,250

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🔹 Problem 4:

870 × 38

Break 38 into 30 + 8:

$$
870 × 38 = 870 × (30 + 8) = (870 × 30) + (870 × 8)
$$

- $870 × 30 = 870 × 3 × 10 = 2,610 × 10 = 26,100$
- $870 × 8 = 6,960$

Add:
$$
26,100 + 6,960 = \boxed{33,060}
$$

✔ Answer: 33,060

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🔹 Problem 5:

530 × 28

Break 28 into 20 + 8:

$$
530 × 28 = 530 × (20 + 8) = (530 × 20) + (530 × 8)
$$

- $530 × 20 = 530 × 2 × 10 = 1,060 × 10 = 10,600$
- $530 × 8 = 4,240$

Add:
$$
10,600 + 4,240 = \boxed{14,840}
$$

✔ Answer: 14,840

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🔹 Problem 6:

540 × 63

Break 63 into 60 + 3:

$$
540 × 63 = 540 × (60 + 3) = (540 × 60) + (540 × 3)
$$

- $540 × 60 = 540 × 6 × 10 = 3,240 × 10 = 32,400$
- $540 × 3 = 1,620$

Add:
$$
32,400 + 1,620 = \boxed{34,020}
$$

✔ Answer: 34,020

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✔ Final Answers:

1. $260 × 91 = \boxed{23,660}$
2. $690 × 65 = \boxed{44,850}$
3. $950 × 15 = \boxed{14,250}$
4. $870 × 38 = \boxed{33,060}$
5. $530 × 28 = \boxed{14,840}$
6. $540 × 63 = \boxed{34,020}$

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💡 Tip: Since all the first numbers are multiples of 10, you can simplify calculations by:
- Ignoring the zero temporarily,
- Multiplying the remaining number,
- Then adding the zero back at the end.

For example:
$260 × 91 = (26 × 91) × 10 = 2366 × 10 = 23,660$

This method speeds up mental math!