Work out the following multiplications:
(a) 32 × 3 × 2 (b) 15 × 5 × 4 (c) 23 × 4 × 9 (d) 19 × 3 × 8 (e) 403 × 6 × 7 (f) 263 × 6 x 2
(g) 361 x 2× 7 (h) 4 × 108× 9 (i) 143 × 5 × 9 (j) 784 × 4 × 3 (k) 412 × 8 × 4 (1) 148 x 9 × 8


Let's work through each of these multiplications step by step.

### (a) \( 32 \times 3 \times 2 \)
\[ 32 \times 3 = 96 \]
\[ 96 \times 2 = 192 \]
**Result:** \( 32 \times 3 \times 2 = 192 \)

### (b) \( 15 \times 5 \times 4 \)
\[ 15 \times 5 = 75 \]
\[ 75 \times 4 = 300 \]
**Result:** \( 15 \times 5 \times 4 = 300 \)

### (c) \( 23 \times 4 \times 9 \)
\[ 23 \times 4 = 92 \]
\[ 92 \times 9 = 828 \]
**Result:** \( 23 \times 4 \times 9 = 828 \)

### (d) \( 19 \times 3 \times 8 \)
\[ 19 \times 3 = 57 \]
\[ 57 \times 8 = 456 \]
**Result:** \( 19 \times 3 \times 8 = 456 \)

### (e) \( 403 \times 6 \times 7 \)
\[ 403 \times 6 = 2418 \]
\[ 2418 \times 7 = 16926 \]
**Result:** \( 403 \times 6 \times 7 = 16926 \)

### (f) \( 263 \times 6 \times 2 \)
\[ 263 \times 6 = 1578 \]
\[ 1578 \times 2 = 3156 \]
**Result:** \( 263 \times 6 \times 2 = 3156 \)

### (g) \( 361 \times 2 \times 7 \)
\[ 361 \times 2 = 722 \]
\[ 722 \times 7 = 5054 \]
**Result:** \( 361 \times 2 \times 7 = 5054 \)

### (h) \( 4 \times 108 \times 9 \)
\[ 4 \times 108 = 432 \]
\[ 432 \times 9 = 3888 \]
**Result:** \( 4 \times 108 \times 9 = 3888 \)

### (i) \( 143 \times 5 \times 9 \)
\[ 143 \times 5 = 715 \]
\[ 715 \times 9 = 6435 \]
**Result:** \( 143 \times 5 \times 9 = 6435 \)

### (j) \( 784 \times 4 \times 3 \)
\[ 784 \times 4 = 3136 \]
\[ 3136 \times 3 = 9408 \]
**Result:** \( 784 \times 4 \times 3 = 9408 \)

### (k) \( 412 \times 8 \times 4 \)
\[ 412 \times 8 = 3296 \]
\[ 3296 \times 4 = 13184 \]
**Result:** \( 412 \times 8 \times 4 = 13184 \)

### (l) \( 148 \times 9 \times 8 \)
\[ 148 \times 9 = 1332 \]
\[ 1332 \times 8 = 10656 \]
**Result:** \( 148 \times 9 \times 8 = 10656 \)

Would you like any further details on the calculations, or do you have any questions?

### Related Questions
1. What are the properties of multiplication that were used in these calculations?
2. How do you approach multiplying larger numbers efficiently?
3. What is the distributive property in multiplication, and how can it be applied here?
4. How can you use prime factorization to simplify these multiplication problems?
5. How does the order of operations affect multiplication problems like these?

### Tip
When multiplying multiple numbers, you can rearrange the order of multiplication to make the calculations easier, thanks to the associative property of multiplication.

Work out the following multiplications: (a) 32 × 3 × 2 (b) 15 × 5 × 4 (c) 23 × 4 × 9 (d) 19 × 3 × 8 (e) 403 × 6 × 7 (f) 263 × 6 x 2 (g) 361 x 2× 7 (h) 4 × 108× 9 (i) 143 × 5 × 9 (j) 784 × 4 × 3 (k) 412 × 8 × 4 (l) 148 x 9 × 8

Solve these 12 multiplication problems, including calculations like 32 × 3 × 2 and 403 × 6 × 7. Learn to apply the associative property of multiplication for efficient problem solving. Suitable for students in Grades 5-7.

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