Add. Write your answer in scientific notation. (2 * 10^9) + (5.8 * 10^9) Choices: (A)1.16 * 10^10 (B)1.16 * 10^9 (C)7.8 * 10^10 (D)7.8 * 10^9

Identify Coefficients and Power: Identify the coefficients and the common power of 10. We have two numbers in scientific notation: (2 * 10^9) and (5.8 * 10^9). Both numbers have the same power of 10, which is 10^9. This means we can directly add the coefficients (the numbers in front of the power of 10).Add Coefficients: Add the coefficients. Now we add the coefficients 2 and 5.8 together. 2 + 5.8 = 7.8Write in Scientific Notation: Write the sum in scientific notation. Since the power of 10 is the same for both numbers, we keep it unchanged. The sum in scientific notation is 7.8 * 10^9.Match with Choices: Match the result with the given choices. The result 7.8 * 10^9 matches with choice (D).

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Add. Write your answer in scientific notation. $\newline$ $(2 \times 10^9) + (5.8 \times 10^9)$ $\newline$ Choices: $\newline$ (A) $1.16 \times 10^{10}$ $\newline$ (B) $1.16 \times 10^9$ $\newline$ (C) $7.8 \times 10^{10}$ $\newline$ (D) $7.8 \times 10^9$

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Math Problems

Algebra 1

Add and subtract numbers written in scientific notation

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Q. Add. Write your answer in scientific notation.

\newline

(2 \times 10^9) + (5.8 \times 10^9)

\newline

Choices:

\newline

(A)

1.16 \times 10^{10}

\newline

(B)

1.16 \times 10^9

\newline

(C)

7.8 \times 10^{10}

\newline

(D)

7.8 \times 10^9

Identify Coefficients and Power: Identify the coefficients and the common power of $10$ . We have two numbers in scientific notation: $(2 \times 10^9)$ and $(5.8 \times 10^9)$ . Both numbers have the same power of $10$ , which is $10^9$ . This means we can directly add the coefficients (the numbers in front of the power of $10$ ).
Add Coefficients: Add the coefficients. $\newline$ Now we add the coefficients $2$ and $5.8$ together. $\newline$ $2 + 5.8 = 7.8$
Write in Scientific Notation: Write the sum in scientific notation. $\newline$ Since the power of $10$ is the same for both numbers, we keep it unchanged. The sum in scientific notation is $7.8 \times 10^9$ .
Match with Choices: Match the result with the given choices. $\newline$ The result $7.8 \times 10^9$ matches with choice (D).