1.

What is the product of (5.1 × 10^3) • (3.2 × 10^3)? (1 point)

16.32 × 10^6
1.632 × 10^7
16.32 × 10^9
1.632 × 10^10

2.
What is the product of (7.28 × 10^-2) • (9.1 × 10^-2)? (1 point)

6.6248 × 10^-3
66.248 × 10^-4
6.6248 × 10^4
66.248 × 10^-3

3.
What is the quotient of (2.965 × 10^7) ÷ (5 × 10^3)? (1 point)

14.825 × 10^4
5.93 × 10^5
14.825 × 10^5
5.93 × 10^3

4.
In a recent year, the world production of wheat was about 5.2 × 10^8 metric tons. Canada produced one over twenty-five of this wheat. About how much wheat did Canada produce? (1 point)

20.8 × 10^8
2.08 × 10^7
2.08 × 10^6
20.8 × 10^7

#1 (5.1 × 3.2) × 10^(3+3)

#2 (7.28 × 9.1) × 10^(-2-2)
#3 (2.965 ÷ 5) × 10^(7+3)
#4 (5.2 / 25) × 10^8

Adjust final answers to make sure the leading number is between 1 and 10

Thank you Steve! :)

1. To find the product of (5.1 × 10^3) • (3.2 × 10^3), we multiply the numbers outside the exponential notation (5.1 and 3.2), and then add the exponents.

(5.1 × 10^3) • (3.2 × 10^3) = (5.1 × 3.2) × (10^3 × 10^3) = 16.32 × 10^(3+3) = 16.32 × 10^6

Therefore, the product is 16.32 × 10^6.

2. To find the product of (7.28 × 10^-2) • (9.1 × 10^-2), we multiply the numbers outside the exponential notation (7.28 and 9.1), and then add the exponents.

(7.28 × 10^-2) • (9.1 × 10^-2) = (7.28 × 9.1) × (10^-2 × 10^-2) = 66.248 × 10^(-2-2) = 66.248 × 10^-4

Therefore, the product is 66.248 × 10^-4.

3. To find the quotient of (2.965 × 10^7) ÷ (5 × 10^3), we divide the numbers outside the exponential notation (2.965 and 5), and then subtract the exponents.

(2.965 × 10^7) ÷ (5 × 10^3) = (2.965 ÷ 5) × (10^7 ÷ 10^3) = 0.593 × 10^(7-3) = 0.593 × 10^4

Therefore, the quotient is 0.593 × 10^4.

4. To find the amount of wheat Canada produced (one over twenty-five of 5.2 × 10^8 metric tons), we divide the total amount of wheat by 25.

(5.2 × 10^8) ÷ 25 = 0.208 × (10^8 ÷ 25) = 0.208 × 10^6

Therefore, Canada produced 0.208 × 10^6 metric tons of wheat, which is equivalent to 2.08 × 10^6 metric tons.

To find the product of numbers in scientific notation, you need to multiply both the base numbers and the exponents separately. Here's how you can solve each question:

1. The product of (5.1 × 10^3) • (3.2 × 10^3) is calculated as follows:
Base number: 5.1 × 3.2 = 16.32
Exponent: 10^3 • 10^3 = 10^(3+3) = 10^6
The answer is 16.32 × 10^6.

2. The product of (7.28 × 10^-2) • (9.1 × 10^-2) is calculated as follows:
Base number: 7.28 × 9.1 = 66.248
Exponent: 10^-2 • 10^-2 = 10^(-2-2) = 10^-4
The answer is 66.248 × 10^-4.

3. The quotient of (2.965 × 10^7) ÷ (5 × 10^3) is calculated as follows:
Base number: 2.965 ÷ 5 = 0.593
Exponent: 10^7 ÷ 10^3 = 10^(7-3) = 10^4
The answer is 0.593 × 10^4, which can be written as 5.93 × 10^3.

4. To find how much wheat Canada produced, you need to divide the total world production of wheat by 25.
5.2 × 10^8 ÷ 25 = (5.2 ÷ 25) × 10^8 = 0.208 × 10^8
Since 0.208 × 10^8 can be simplified, the answer is 2.08 × 10^7.

Based on the explanations above, the answers to the questions are:
1. 16.32 × 10^6
2. 66.248 × 10^-4
3. 5.93 × 10^3
4. 2.08 × 10^7