1. What is the product of (5.1x10^3)x(3.2x10^3)
A. 16.32 x 10^6
B. 1.632 x 10^7
C. 16.32 x 10^9
D. 1.632 x 10^10
2. What is the product of (7.28x10^-2)(9.1x10^-2)
A. 6.6248 x 10^-3
B. 66.248 x 10^-4
C. 6.6248 x 10^4
D. 66.248 x 10^-3
3. What is the quotient of (2.965x10^7) / (5x10^3
A. 14.825 x 10^4
B. 5.93 x 10^5
C. 14.825 x 10^5
D. 5.93 x 10^3
4. In a recent year, the world production of wheat was about 5.2 x 10^8 metric tons. Canada produced 1/25 of this wheat. About how much wheat did Canada produce?
A. 20.8 x 10^8
B. 2.08 x 10^7
C. 2.08 x 10^6
D. 20.8 x 10^7
My answers are..
1.A or B
2.C
3.A
4.?
#1 A and B are correct values, but only B is in scientific notation
#2 oops. 10^-2 * 10^-2 = 10^(-2 + -2) = 10^-4
add the powers, do not multiply them
#3 (2.965x10^7) / (5x10^3) = (2.965/5)x10^4 = 0.593x10^4 = 5.93x10^3
#4 1/25 * 5.2x10^8 = (5.2/25)x10^8 = 0.208x10^8 = 2.08x10^7
ooga booga
Great! Let's go through each question one by one.
1. What is the product of (5.1x10^3)x(3.2x10^3)?
To multiply two numbers in scientific notation, you multiply the coefficients and add the exponents.
So, (5.1x10^3)x(3.2x10^3) = (5.1 x 3.2) x (10^3 x 10^3) = 16.32 x 10^6.
Therefore, the correct answer is A. 16.32 x 10^6.
2. What is the product of (7.28x10^-2)(9.1x10^-2)?
Again, multiply the coefficients and add the exponents.
(7.28x10^-2)(9.1x10^-2) = (7.28 x 9.1) x (10^-2 x 10^-2) = 66.248 x 10^-4.
Therefore, the correct answer is B. 66.248 x 10^-4.
3. What is the quotient of (2.965x10^7) / (5x10^3)?
To divide two numbers in scientific notation, you divide the coefficients and subtract the exponents.
(2.965x10^7) / (5x10^3) = (2.965 / 5) x (10^7 - 3) = 0.593 x 10^4.
Therefore, the correct answer is D. 5.93 x 10^3.
4. In a recent year, the world production of wheat was about 5.2 x 10^8 metric tons. Canada produced 1/25 of this wheat. About how much wheat did Canada produce?
To find the amount of wheat Canada produced, we divide the world production by 25.
5.2 x 10^8 / 25 = (5.2 / 25) x 10^8 = 0.208 x 10^8.
Therefore, the correct answer is B. 2.08 x 10^7.
Your answers are correct for questions 1, 2, and 3. For question 4, the correct answer is B. 2.08 x 10^7.
To find the correct answers to these questions, we need to understand how to multiply and divide numbers in scientific notation.
1. To multiply two numbers in scientific notation, you need to multiply the two numbers together and then add the exponents. In this case, (5.1x10^3)x(3.2x10^3) becomes (5.1x3.2)x(10^3x10^3) = 16.32x10^6. Therefore, the answer is A. 16.32 x 10^6.
2. Similarly, to multiply (7.28x10^-2)(9.1x10^-2), you multiply the two numbers together and add the exponents: (7.28x9.1)x(10^-2x10^-2) = 66.248x10^-4. Therefore, the answer is B. 66.248 x 10^-4.
3. To divide two numbers in scientific notation, you divide the two numbers and subtract the exponents. (2.965x10^7) / (5x10^3) becomes (2.965/5)x(10^7/10^3) = 0.593x10^4. Therefore, the answer is D. 5.93 x 10^3.
4. To find out how much wheat Canada produced, you multiply the world production of wheat (5.2 x 10^8) by 1/25. (5.2 x 10^8) x (1/25) = 2.08 x 10^7. Therefore, the answer is B. 2.08 x 10^7.
So your answers are:
1. A. 16.32 x 10^6
2. B. 66.248 x 10^-4
3. D. 5.93 x 10^3
4. B. 2.08 x 10^7