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Add. Write your answer in scientific notation. $\newline$ $(5.84 \times 10^2) + (2.85 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $4.77 \times 10^2$ $\newline$ (B) $4.77 \times 10^4$ $\newline$ (C) $8.69 \times 10^2$ $\newline$ (D) $8.69 \times 10^4$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(5.84 \times 10^2) + (2.85 \times 10^2)

\newline

Choices:

\newline

(A)

4.77 \times 10^2

\newline

(B)

4.77 \times 10^4

\newline

(C)

8.69 \times 10^2

\newline

(D)

8.69 \times 10^4

Identify Coefficients: We have: $\newline$ $(5.84 \times 10^2) + (2.85 \times 10^2)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients. $\newline$ What is $5.84 + 2.85$ ? $\newline$ $5.84 + 2.85 = 8.69$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $8.69$ for the coefficient and $2$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $8.69 \times 10^2$
Find Equivalent Expression: Choose the equivalent expression for $(5.84 \times 10^2) + (2.85 \times 10^2)$ . $(5.84 \times 10^2) + (2.85 \times 10^2) = 8.69 \times 10^2$ $(5.84 \times 10^2) + (2.85 \times 10^2)$ is equivalent to $8.69 \times 10^2$ .

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