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Add. Write your answer in scientific notation. $\newline$ $(2.8 \times 10^3) + (4.3 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $7.1 \times 10^6$ $\newline$ (B) $7.1 \times 10^3$ $\newline$ (C) $4.58 \times 10^3$ $\newline$ (D) $4.58 \times 10^6$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(2.8 \times 10^3) + (4.3 \times 10^3)

\newline

Choices:

\newline

(A)

7.1 \times 10^6

\newline

(B)

7.1 \times 10^3

\newline

(C)

4.58 \times 10^3

\newline

(D)

4.58 \times 10^6

Identify Coefficients and Powers: Identify the coefficients and the powers of $10$ in both terms. $\newline$ We have $(2.8 \times 10^3)$ and $(4.3 \times 10^3)$ . Both terms have the same power of $10$ , which is $10^3$ .
Add Coefficients: Add the coefficients since the powers of $10$ are the same. $\newline$ Calculate $2.8 + 4.3$ . $\newline$ $2.8 + 4.3 = 7.1$
Write Sum in Scientific Notation: Write the sum in scientific notation. $\newline$ Since the power of $10$ did not change, the sum in scientific notation is $7.1 \times 10^3$ .
Choose Equivalent Expression: Choose the equivalent expression for $(2.8 \times 10^3) + (4.3 \times 10^3)$ . The correct choice is (B) $7.1 \times 10^3$ .

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