Question

Taylor multiplied 8.25 3 104

and 0.4 3 104
and got 8.65 3 104
.
Explain Taylor’s mistake and give the correct answer.

Answer 1

Taylor made a mistake in multiplying 8.25 x 10^4 and 0.4 x 10^4. The correct answer is 3.3 x 10^8.

Step-by-step explanation:

Taylor made a mistake in multiplying 8.25 x 10^4 and 0.4 x 10^4. The correct way to multiply numbers in scientific notation is to multiply the coefficients and add the exponents. Let's go through the steps:

1. Multiply the coefficients: 8.25 x 0.4 = 3.3
2. Add the exponents: 10^4 x 10^4 = 10^(4+4) = 10^8
3. Combine the coefficient and the exponent: 3.3 x 10^8

So, the correct answer is 3.3 x 10^8.