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Subtract. Write your answer in scientific notation. $\newline$ $(2.116 \times 10^5) - (1.09 \times 10^5)$ $\newline$ Choices: $\newline$ (A) $8.051 \times 10^5$ $\newline$ (B) $1.026 \times 10^5$ $\newline$ (C) $7.88 \times 10^5$ $\newline$ (D) $2.64 \times 10^5$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(2.116 \times 10^5) - (1.09 \times 10^5)

\newline

Choices:

\newline

(A)

8.051 \times 10^5

\newline

(B)

1.026 \times 10^5

\newline

(C)

7.88 \times 10^5

\newline

(D)

2.64 \times 10^5

Subtract Coefficients, Keep Exponent: Subtract the coefficients of the given numbers while keeping the exponent the same since they are both powers of $10$ to the $5^{\text{th}}$ power. $\newline$ $2.116 - 1.09 = 1.026$
Write in Scientific Notation: Write the final answer in scientific notation using the same exponent since the subtraction did not change the order of magnitude. $\newline$ $1.026 \times 10^5$
Choose Correct Expression: Choose the equivalent expression for the final answer from the given choices. $\newline$ The correct choice is (B) $1.026 \times 10^5$ .

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