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Add. Write your answer in scientific notation. $\newline$ $(3.7 \times 10^6) + (6 \times 10^6)$ $\newline$ Choices: $\newline$ (A) $9.7 \times 10^7$ $\newline$ (B) $2.22 \times 10^7$ $\newline$ (C) $2.22 \times 10^6$ $\newline$ (D) $9.7 \times 10^6$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(3.7 \times 10^6) + (6 \times 10^6)

\newline

Choices:

\newline

(A)

9.7 \times 10^7

\newline

(B)

2.22 \times 10^7

\newline

(C)

2.22 \times 10^6

\newline

(D)

9.7 \times 10^6

Identify Numbers: We have the following numbers to add: $\newline$ $(3.7 \times 10^6) + (6 \times 10^6)$ $\newline$ Since the exponents of $10$ are the same, we can directly add the coefficients. $\newline$ What is $3.7 + 6$ ? $\newline$ $3.7 + 6 = 9.7$
Add Coefficients: Write the answer in scientific notation. $\newline$ Since we have found the sum of the coefficients to be $9.7$ , we keep the exponent the same. $\newline$ Scientific notation: $9.7 \times 10^6$
Write in Scientific Notation: Choose the equivalent expression for $(3.7 \times 10^6) + (6 \times 10^6)$ . $(3.7 \times 10^6) + (6 \times 10^6) = 9.7 \times 10^6$ The correct choice is $(D) 9.7 \times 10^6$ .

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