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Subtract. Write your answer in scientific notation. $\newline$ $(7.5 \times 10^6) - (4.7 \times 10^6)$ $\newline$ Choices: $\newline$ (A) $2.8 \times 10^0$ $\newline$ (B) $6.7 \times 10^0$ $\newline$ (C) $2.8 \times 10^6$ $\newline$ (D) $6.7 \times 10^6$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(7.5 \times 10^6) - (4.7 \times 10^6)

\newline

Choices:

\newline

(A)

2.8 \times 10^0

\newline

(B)

6.7 \times 10^0

\newline

(C)

2.8 \times 10^6

\newline

(D)

6.7 \times 10^6

Identify Subtraction Problem: We have the following subtraction problem: $\newline$ $(7.5 \times 10^6) - (4.7 \times 10^6)$ $\newline$ Since the powers of $10$ are the same, we can directly subtract the coefficients. $\newline$ What is $7.5 - 4.7$ ? $\newline$ $7.5 - 4.7 = 2.8$
Subtract Coefficients: Write the answer in scientific notation. $\newline$ Since we subtracted the coefficients and the power of $10$ remains the same, we can write the result as: $\newline$ $2.8 \times 10^6$
Write in Scientific Notation: Choose the equivalent expression for $(7.5 \times 10^6) - (4.7 \times 10^6)$ . $\newline$ The correct answer is $2.8 \times 10^6$ .

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