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Subtract. Write your answer in scientific notation. $\newline$ $(6 \times 10^3) - (2.59 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $3.41 \times 10^3$ $\newline$ (B) $3.41 \times 10^0$ $\newline$ (C) $3.41 \times 10^6$ $\newline$ (D) $3.41 \times 10^9$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(6 \times 10^3) - (2.59 \times 10^3)

\newline

Choices:

\newline

(A)

3.41 \times 10^3

\newline

(B)

3.41 \times 10^0

\newline

(C)

3.41 \times 10^6

\newline

(D)

3.41 \times 10^9

Identify Coefficients: We have: $\newline$ $(6 \times 10^3) - (2.59 \times 10^3)$ $\newline$ Since the powers of $10$ are the same, we can directly subtract the coefficients. $\newline$ What is $6 - 2.59$ ? $\newline$ $6 - 2.59 = 3.41$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $3.41$ for the coefficient and $3$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $3.41 \times 10^3$
Find Equivalent Expression: Choose the equivalent expression for $(6 \times 10^3) - (2.59 \times 10^3)$ . $(6 \times 10^3) - (2.59 \times 10^3) = 3.41 \times 10^3$ $(6 \times 10^3) - (2.59 \times 10^3)$ is equivalent to $3.41 \times 10^3$ .

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