Question

question
evaluate. express your answer in scientific notation.
38,000,000 − 4.7 × 10⁶
answer
attempt 1 out of 3
answer: ×10
submit answer

Explanation:

Step1: Convert 38,000,000 to scientific notation

To convert 38,000,000 to scientific notation, we move the decimal point 7 places to the left, so it becomes \(3.8 \times 10^{7}\). But we can also write it as \(38 \times 10^{6}\) to have the same exponent as \(4.7 \times 10^{6}\) for easier subtraction.

Step2: Subtract the two numbers

Now we have \(38 \times 10^{6}- 4.7\times 10^{6}\). Using the distributive property \(a\times c - b\times c=(a - b)\times c\), we get \((38 - 4.7)\times 10^{6}\).
Calculating \(38-4.7 = 33.3\), so we have \(33.3\times 10^{6}\).

Step3: Convert to proper scientific notation

In scientific notation, the coefficient should be between 1 and 10. So we rewrite \(33.3\times 10^{6}\) as \(3.33\times 10^{7}\) (since \(33.3\times 10^{6}=3.33\times 10\times 10^{6}=3.33\times 10^{7}\)).

Answer:

\(3.33\times 10^{7}\)