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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) $9.74 \times 10^4$ $\newline$ (C) $7.247 \times 10^4$ $\newline$ (D) $9.74 \times 10^2$

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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 10^4

\newline

(C)

7.247 \times 10^4

\newline

(D)

9.74 \times 10^2

Identify Given Numbers: We have: $\newline$ $(3.2 \times 10^2) + (4.047 \times 10^2)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients. $\newline$ What is $3.2 + 4.047$ ? $\newline$ $3.2 + 4.047 = 7.247$
Add Coefficients: Write the answer in scientific notation. $\newline$ Substitute $7.247$ for the coefficient and $2$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $7.247 \times 10^2$
Convert to Scientific Notation: Choose the equivalent expression for $(3.2 \times 10^2) + (4.047 \times 10^2)$ . $(3.2 \times 10^2) + (4.047 \times 10^2) = 7.247 \times 10^2$ $(3.2 \times 10^2) + (4.047 \times 10^2)$ is equivalent to $7.247 \times 10^2$ .

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