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Add. Write your answer in scientific notation. $\newline$ $(3.2 \times 10^2) + (4.047 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $7.247 \times 10^2$ $\newline$ (B) $9.74 \times 10^2$ $\newline$ (C) $9.74 \times 10^4$ $\newline$ (D) $7.247 \times 10^4$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(3.2 \times 10^2) + (4.047 \times 10^2)

\newline

Choices:

\newline

(A)

7.247 \times 10^2

\newline

(B)

9.74 \times 10^2

\newline

(C)

9.74 \times 10^4

\newline

(D)

7.247 \times 10^4

Add Coefficients: Add the coefficients of the given numbers. $3.2 + 4.047 = 7.247$
Combine in Scientific Notation: Since the exponents of $10$ are the same, we can directly add the coefficients and keep the exponent unchanged. $\newline$ The sum in scientific notation is $7.247 \times 10^2$ .
Choose Correct Expression: Choose the equivalent expression for the final answer from the given choices. $\newline$ The correct choice is (A) $7.247 \times 10^2$ .

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