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Subtract. Write your answer in scientific notation. $\newline$ $(5.94 \times 10^4) - (2.62 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $6.04 \times 10^2$ $\newline$ (B) $3.32 \times 10^4$ $\newline$ (C) $6.04 \times 10^8$ $\newline$ (D) $3.32 \times 10^0$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(5.94 \times 10^4) - (2.62 \times 10^4)

\newline

Choices:

\newline

(A)

6.04 \times 10^2

\newline

(B)

3.32 \times 10^4

\newline

(C)

6.04 \times 10^8

\newline

(D)

3.32 \times 10^0

Calculate Coefficients: We have: $\newline$ $(5.94 \times 10^4) - (2.62 \times 10^4)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $5.94 - 2.62$ ? $\newline$ $5.94 - 2.62 = 3.32$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $3.32$ for the coefficient and $4$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $3.32 \times 10^4$
Find Equivalent Expression: Choose the equivalent expression for $(5.94 \times 10^4) - (2.62 \times 10^4)$ . $(5.94 \times 10^4) - (2.62 \times 10^4) = 3.32 \times 10^4$ $(5.94 \times 10^4) - (2.62 \times 10^4)$ is equivalent to $3.32 \times 10^4$ .

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