In math class, Sam correctly multiplied 3.625 × 10 with the exponent of -8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product?
a.-16
b.-10
c.-7
D.-5
I think the answer is B. Please correct me if I am wrong, tysm.
3.625×10^-8 * 500 = 3.625×10^-8 * 5×10^-2
= 3.625*5 × 10^-6
= 18.125 × 10^-6
= 1.8125 × 10^-5
I think you divided by 500, and even then got it wrong
3.625×10^-8 ÷ 5×10^2
= 0.725×10^-10
= 7.25×10^-11
I think there is a typo here, but what follows above corrects it.
3.625×10^-8 * 500 = 3.625×10^-8 * 5×10^-2 should be 5*10+2
To find the product of 3.625 × 10^-8 by 500, we can multiply the two numbers together:
3.625 × 10^-8 × 500 = 1.8125 × 10^-5
In scientific notation, the exponent is -5. Thus, the correct answer is D.
To find the exponent in Sam's product, you need to follow these steps:
1. Start with the initial expression: 3.625 × 10^(-8) × 500.
2. Multiply 3.625 by 500: 3.625 × 500 = 1812.5.
3. Next, multiply the powers of 10: 10^(-8) × 10^2 = 10^(-8+2) = 10^(-6).
4. Combine the results from step 2 and step 3: 1812.5 × 10^(-6).
5. Convert the product to scientific notation by moving the decimal point to the left to have one non-zero digit in front of the decimal point: 1.8125 × 10^3.
The exponent in Sam's product is 3, not -10. Therefore, the correct answer is not b.