Answer:
D) 408
E) 684
F) 377
Explanation:
In these problems, we can simplify the multiplication using these steps:
1. split each number into a tens and ones place
2. multiply each place of the bottom number by both places of the top number (but remember that a digit in the tens place has a zero after it)
3. add the resulting values
D) First, we can split each number into a tens and ones place:
17 = 10 and 7
24 = 20 and 4
Next, we can multiply each digit of the bottom number by both digits of the top number:
(4 × 7)
(4 × 10)
(20 × 7)
(20 × 10)
Finally, we can add all of these values:
(4 × 7) + (4 × 10) + (20 × 7) + (20 × 10)
= 28 + 40 + 140 + 200
= 408
E)
36 = 30 and 6
19 = 10 and 9
Multiplying the places:
(9 × 6)
(9 × 30)
(10 × 6)
(10 × 30)
Adding these values:
(9 × 6) + (9 × 30) + (10 × 6) + (10 × 30)
= 54 + 270 + 60 + 300
= 684
F)
29 = 20 and 9
13 = 10 and 3
Multiplying the places:
(3 × 9)
(3 × 20)
(10 × 9)
(10 × 20)
Adding these values:
(3 × 9) + (3 × 20) + (10 × 9) + (10 × 20)
= 27 + 60 + 90 + 200
= 377