QuestionCalculate $(1.201 \times 10^{3}) \times (1.2 \times 10^{-2})$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two numbers in scientific notation. . The rules of multiplication and the properties of exponents apply.

STEP 2

When multiplying numbers in scientific notation, we can separate the multiplication of the coefficients (the numbers before the exponent) from the multiplication of the powers of10.
$\left(1.201 \times10^{}\right) \times\left(1.2 \times10^{-2}\right) = (1.201 \times1.2) \times (10^{} \times10^{-2})$

STEP 3

First, multiply the coefficients1.201 and1.2.
$1.201 \times1.2 =1.4412$

STEP 4

Next, multiply the powers of10. When multiplying powers with the same base, we add the exponents.
$10^{3} \times10^{-2} =10^{3 + (-2)} =10^{1}$

STEP 5

Finally, combine the results from steps3 and4 to get the final answer.
$1.4412 \times10^{1} =14.412$ So, $\left(1.201 \times10^{3}\right) \times\left(1.2 \times10^{-2}\right) =14.412$ .

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