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Subtract. Write your answer in scientific notation. $\newline$ $(5 \times 10^3) - (2.57 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $7.57 \times 10^2$ $\newline$ (B) $2.43 \times 10^3$ $\newline$ (C) $2.43 \times 10^2$ $\newline$ (D) $7.57 \times 10^3$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(5 \times 10^3) - (2.57 \times 10^3)

\newline

Choices:

\newline

(A)

7.57 \times 10^2

\newline

(B)

2.43 \times 10^3

\newline

(C)

2.43 \times 10^2

\newline

(D)

7.57 \times 10^3

Identify Coefficients: We have: $\newline$ $(5 \times 10^3) - (2.57 \times 10^3)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $5 - 2.57$ ? $\newline$ $5 - 2.57 = 2.43$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $2.43$ for the coefficient and $3$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $2.43 \times 10^3$
Find Equivalent Expression: Choose the equivalent expression for $(5 \times 10^3) - (2.57 \times 10^3)$ . $(5 \times 10^3) - (2.57 \times 10^3) = 2.43 \times 10^3$ $(5 \times 10^3) - (2.57 \times 10^3)$ is equivalent to $2.43 \times 10^3$ .

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