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Add. Write your answer in scientific notation. $\newline$ $(1.41 \times 10^6) + (5.9 \times 10^6)$ $\newline$ Choices: $\newline$ (A) $8.319 \times 10^7$ $\newline$ (B) $7.31 \times 10^7$ $\newline$ (C) $8.319 \times 10^6$ $\newline$ (D) $7.31 \times 10^6$

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Add and subtract numbers written in scientific notation

Full solution

Q. Add. Write your answer in scientific notation.

\newline

(1.41 \times 10^6) + (5.9 \times 10^6)

\newline

Choices:

\newline

(A)

8.319 \times 10^7

\newline

(B)

7.31 \times 10^7

\newline

(C)

8.319 \times 10^6

\newline

(D)

7.31 \times 10^6

Addition Process: We have the following numbers to add: $\newline$ $(1.41 \times 10^6) + (5.9 \times 10^6)$ $\newline$ Since the exponents of $10$ are the same, we can directly add the coefficients $(1.41$ and $5.9)$ . $\newline$ Let's perform the addition: $\newline$ $1.41 + 5.9 = 7.31$
Scientific Notation: Now that we have the sum of the coefficients, we can write the answer in scientific notation. $\newline$ The sum of the coefficients is $7.31$ , and since the exponent for both terms was $6$ , the exponent remains the same. $\newline$ Scientific notation: $7.31 \times 10^6$
Equivalent Expression: Choose the equivalent expression for $(1.41 \times 10^6) + (5.9 \times 10^6)$ . $(1.41 \times 10^6) + (5.9 \times 10^6) = 7.31 \times 10^6$ The correct answer is $(D) 7.31 \times 10^6$ .

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