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Add. Write your answer in scientific notation. $\newline$ $(1.8 \times 10^4) + (7.2 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $3.4 \times 10^4$ $\newline$ (B) $9 \times 10^8$ $\newline$ (C) $3.4 \times 10^8$ $\newline$ (D) $9 \times 10^4$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(1.8 \times 10^4) + (7.2 \times 10^4)

\newline

Choices:

\newline

(A)

3.4 \times 10^4

\newline

(B)

9 \times 10^8

\newline

(C)

3.4 \times 10^8

\newline

(D)

9 \times 10^4

Add Coefficients: We have the following expression to add: $\newline$ $(1.8 \times 10^4) + (7.2 \times 10^4)$ $\newline$ Since the powers of $10$ are the same, we can directly add the coefficients. $\newline$ What is $1.8 + 7.2$ ? $\newline$ $1.8 + 7.2 = 9.0$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $9.0$ for the coefficient and $4$ for the exponent in the format $a \times 10^b$ . $\newline$ Scientific notation: $9.0 \times 10^4$
Equivalent Expression: Choose the equivalent expression for $(1.8 \times 10^4) + (7.2 \times 10^4)$ . $(1.8 \times 10^4) + (7.2 \times 10^4) = 9.0 \times 10^4$ $(1.8 \times 10^4) + (7.2 \times 10^4)$ is equivalent to $9.0 \times 10^4$ .

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