0
80
6 + 6 + 6 = 3 × 6 = 18
3
3 · 6 = 18,
18
6
18
3(6) = 18,
3 × 6 = 18 3
12
58
×32
23
× 4
×
·
4 · 23 = 4 · (20 + 3) = 4 · (20) + 4 · (3) = 80 + 12 = 92
(3)(6) = 18
6
12← 4 · 3
+ 8 0 ← 4 · 20
92
16← 2 · 8
1 0 0 ← 2 · 50
2 4 0 ← 30 · 8
+ 1 5 0 0 ← 30 · 50
3×2
2
1
✓
✓
1
23
× 4
92
58
×32
1 1 6 ← 2 · 58
+ 1 7 4 0 ← 30 · 58
1 8 56
1 8 56
11 · 50 = 50 · 11
(2 · 3) · 5 = 2 · (3 · 5)
28 · 0 = 0
(1 · 3) · 7 = (3 · 1) · 7
5(2 + 6) = 5 · 2 + 5 · 6
0
0×3=0
1 · 17 = 17
0
3×0=0
2×5
= 10
3×1=3
6×7
= 42
3×3
4×2
1
1×3=3
3×2=6
2×3=6
56 × 37
4
✓
✓
2 · (4 · 3) = 24
2(3 + 4) = 2 · 3 + 2 · 4
6×5
6×4
2, 317 × 169
56
×37
3 92
+1 6 80
2 0 72
28 × 0
1 1 4
1
(2 · 4) · 3 = 24
5×4
8×5
2 1 6
✓
✓
✓
✓
✓
✓
2317
× 169
2
13
+2 3
39
0853
9020
1700
1573
58 × 3
58
× 3
45 × 27
45
×27
285 × 134
285
×134
17 · 1
45 × 6
63(21)
253 × 42
1, 259 × 742
2
Multiplying Whole Numbers
Answers to Practice
1. Identify what property is being used.
(a) 11 · 50 = 50 · 11
commutative property of multiplication
(b) (2 · 3) · 5 = 2 · (3 · 5)
(c) 28 · 0 = 0
associative property of multiplication
multiplication property of zero
(d) (1 · 3) · 7 = (3 · 1) · 7
commutative property of multiplication
(e) 5(2 + 6) = 5 · 2 + 5 · 6
(f) 1 · 17 = 17
distributive property
multiplicative identity property
2. Use the number line to find the product.
(a) 4 × 2 = 8
0 1 2 3 4 5 6 7 8 9 10
(b) 5 × 4 = 20
0
4
8
12
16
20
15
20
24
28
32
36
40
35
40
(c) 6 × 5 = 30
0
5
10
25
30
3. Multiply.
(a) 28 × 0
0
(b) 17 · 1
17
(c) 45 × 6
45
× 6
270
(d) 63(21)
63
×2 1
63
126
1323
(e) 253 × 42
253
× 42
506
1012
10626
1
(f) 1, 259 × 742
1259
× 742
2518
5036
8813
934178