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Add. Write your answer in scientific notation. $\newline$ $(3.59 \times 10^2) + (6 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $9.59 \times 10^4$ $\newline$ (B) $1.98 \times 10^4$ $\newline$ (C) $1.98 \times 10^2$ $\newline$ (D) $9.59 \times 10^2$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(3.59 \times 10^2) + (6 \times 10^2)

\newline

Choices:

\newline

(A)

9.59 \times 10^4

\newline

(B)

1.98 \times 10^4

\newline

(C)

1.98 \times 10^2

\newline

(D)

9.59 \times 10^2

Identify Numbers to Add: We have the following numbers to add: $\newline$ $(3.59 \times 10^2) + (6 \times 10^2)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients. $\newline$ What is $3.59 + 6$ ? $\newline$ $3.59 + 6 = 9.59$
Perform Addition: Write the answer in scientific notation. $\newline$ Since we have added the coefficients, we keep the power of $10$ the same. $\newline$ Scientific notation: $9.59 \times 10^2$
Write in Scientific Notation: Choose the equivalent expression for $(3.59 \times 10^2) + (6 \times 10^2)$ . $(3.59 \times 10^2) + (6 \times 10^2) = 9.59 \times 10^2$

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