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Add. Write your answer in scientific notation. $\newline$ $(3.99 \times 10^7) + (2.27 \times 10^7)$ $\newline$ Choices: $\newline$ (A) $9.06 \times 10^6$ $\newline$ (B) $9.06 \times 10^7$ $\newline$ (C) $6.26 \times 10^7$ $\newline$ (D) $6.26 \times 10^6$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(3.99 \times 10^7) + (2.27 \times 10^7)

\newline

Choices:

\newline

(A)

9.06 \times 10^6

\newline

(B)

9.06 \times 10^7

\newline

(C)

6.26 \times 10^7

\newline

(D)

6.26 \times 10^6

Add Coefficients: We have the following expression to add: $\newline$ $(3.99 \times 10^7) + (2.27 \times 10^7)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients. $\newline$ What is $3.99 + 2.27$ ? $\newline$ $3.99 + 2.27 = 6.26$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $6.26$ for the coefficient and $7$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $6.26 \times 10^7$
Choose Equivalent Expression: Choose the equivalent expression for $(3.99 \times 10^7) + (2.27 \times 10^7)$ . $(3.99 \times 10^7) + (2.27 \times 10^7) = 6.26 \times 10^7$ The correct choice is (C) $6.26 \times 10^7$ .

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