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Subtract. Write your answer in scientific notation. $\newline$ $(7.12 \times 10^3) - (4.43 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $5.72 \times 10^3$ $\newline$ (B) $9.18 \times 10^3$ $\newline$ (C) $2.69 \times 10^3$ $\newline$ (D) $3.55 \times 10^3$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(7.12 \times 10^3) - (4.43 \times 10^3)

\newline

Choices:

\newline

(A)

5.72 \times 10^3

\newline

(B)

9.18 \times 10^3

\newline

(C)

2.69 \times 10^3

\newline

(D)

3.55 \times 10^3

Identify Coefficients: We have: $\newline$ $(7.12 \times 10^3) - (4.43 \times 10^3)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $7.12 - 4.43$ ? $\newline$ $7.12 - 4.43 = 2.69$
Subtract Coefficients: Write the answer in scientific notation. $\newline$ Substitute $2.69$ for $a$ and $3$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $2.69 \times 10^3$
Convert to Scientific Notation: Choose the equivalent expression for $(7.12 \times 10^3) - (4.43 \times 10^3)$ . $(7.12 \times 10^3) - (4.43 \times 10^3) = 2.69 \times 10^3$ $(7.12 \times 10^3) - (4.43 \times 10^3)$ is equivalent to $2.69 \times 10^3$ .

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