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Subtract. Write your answer in scientific notation. $\newline$ $(9.1 \times 10^7) - (2 \times 10^7)$ $\newline$ Choices: $\newline$ (A) $5.5 \times 10^7$ $\newline$ (B) $6.3 \times 10^7$ $\newline$ (C) $2.8 \times 10^7$ $\newline$ (D) $7.1 \times 10^7$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(9.1 \times 10^7) - (2 \times 10^7)

\newline

Choices:

\newline

(A)

5.5 \times 10^7

\newline

(B)

6.3 \times 10^7

\newline

(C)

2.8 \times 10^7

\newline

(D)

7.1 \times 10^7

Identify Subtraction Problem: We have the following subtraction problem: $\newline$ $(9.1 \times 10^7) - (2 \times 10^7)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $9.1 - 2$ ? $\newline$ $9.1 - 2 = 7.1$
Perform Subtraction: Write the answer in scientific notation. $\newline$ Substitute $7.1$ for $a$ and $7$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $7.1 \times 10^7$
Convert to Scientific Notation: Choose the equivalent expression for $(9.1 \times 10^7) - (2 \times 10^7)$ . $(9.1 \times 10^7) - (2 \times 10^7) = 7.1 \times 10^7$ $(9.1 \times 10^7) - (2 \times 10^7)$ is equivalent to $7.1 \times 10^7$ .

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