QuestionCompute and express in decimal: $\frac{12 \times 10^{7}}{4 \times 10^{2}}$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{12 \times10^{7}}{4 \times10^{}}$ and we are asked to simplify it. . We are asked to express the answer in decimal notation.

STEP 2

First, we can simplify the expression by dividing the numbers and the powers of10 separately.
$\frac{12 \times10^{7}}{4 \times10^{2}} = \frac{12}{4} \times \frac{10^{7}}{10^{2}}$

STEP 3

Now, divide the numbers.
$\frac{12}{} =3$ So, the expression becomes $3 \times \frac{10^{7}}{10^{2}}$

STEP 4

Next, divide the powers of10. Remember that when you divide with the same base, you subtract the exponents.
$\frac{10^{7}}{10^{2}} =10^{7-2} =10^{}$ So, the expression becomes $3 \times10^{}$

STEP 5

Finally, express the answer in decimal notation. $10^{5}$ means that we have5 zeros after the3.
$3 \times10^{5} =300,000$ So, $\frac{12 \times10^{7}}{4 \times10^{2}} =300,000$ .

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