Question

in 8-15, find each product.

1. $63.7 \times 10$
2. $563.7 \times 10^2$
3. $0.365 \times 10^4$
4. $5.02 \times 100$
5. $94.6 \times 10^3$
6. $0.9463 \times 10^2$
7. $0.678 \times 100$
8. $681.7 \times 10^4$

Explanation:

Step1: Multiply by 10, shift decimal right 1

$63.7 \times 10 = 637$

Step2: Multiply by $10^2$, shift right 2

$563.7 \times 10^2 = 56370$

Step3: Multiply by $10^4$, shift right 4

$0.365 \times 10^4 = 3650$

Step4: Multiply by 100, shift right 2

$5.02 \times 100 = 502$

Step5: Multiply by $10^3$, shift right 3

$94.6 \times 10^3 = 94600$

Step6: Multiply by $10^2$, shift right 2

$0.9463 \times 10^2 = 94.63$

Step7: Multiply by 100, shift right 2

$0.678 \times 100 = 67.8$

Step8: Multiply by $10^4$, shift right 4

$681.7 \times 10^4 = 6817000$

Answer:

1. $637$
2. $56370$
3. $3650$
4. $502$
5. $94600$
6. $94.63$
7. $67.8$
8. $6817000$