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Add. Write your answer in scientific notation. $\newline$ $(5.5 \times 10^7) + (2 \times 10^7)$ $\newline$ Choices: $\newline$ (A) $7.5 \times 10^8$ $\newline$ (B) $1.1 \times 10^7$ $\newline$ (C) $7.5 \times 10^7$ $\newline$ (D) $1.1 \times 10^8$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(5.5 \times 10^7) + (2 \times 10^7)

\newline

Choices:

\newline

(A)

7.5 \times 10^8

\newline

(B)

1.1 \times 10^7

\newline

(C)

7.5 \times 10^7

\newline

(D)

1.1 \times 10^8

Analyze Expression: We have the following expression to add: $\newline$ $(5.5 \times 10^7) + (2 \times 10^7)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients (the numbers in front of $10^7$ ). $\newline$ What is $5.5 + 2$ ? $\newline$ $5.5 + 2 = 7.5$
Calculate Sum: Write the answer in scientific notation. $\newline$ Since we have found the sum of the coefficients to be $7.5$ , we keep the power of $10$ the same. $\newline$ Scientific notation: $7.5 \times 10^7$
Convert to Scientific Notation: Choose the equivalent expression for $(5.5 \times 10^7) + (2 \times 10^7)$ . $(5.5 \times 10^7) + (2 \times 10^7) = 7.5 \times 10^7$ The correct choice is (C) $7.5 \times 10^7$ .

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