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Subtract. Write your answer in scientific notation. $\newline$ $(5.83 \times 10^4) - (1.22 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $4.61 \times 10^4$ $\newline$ (B) $4.61 \times 10^8$ $\newline$ (C) $7.05 \times 10^4$ $\newline$ (D) $7.05 \times 10^8$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(5.83 \times 10^4) - (1.22 \times 10^4)

\newline

Choices:

\newline

(A)

4.61 \times 10^4

\newline

(B)

4.61 \times 10^8

\newline

(C)

7.05 \times 10^4

\newline

(D)

7.05 \times 10^8

Calculate Coefficients: We have: $\newline$ $(5.83 \times 10^4) - (1.22 \times 10^4)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $5.83 - 1.22$ ? $\newline$ $5.83 - 1.22 = 4.61$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $4.61$ for the coefficient and $4$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $4.61 \times 10^4$
Find Equivalent Expression: Choose the equivalent expression for $(5.83 \times 10^4) - (1.22 \times 10^4)$ . $(5.83 \times 10^4) - (1.22 \times 10^4) = 4.61 \times 10^4$ $(5.83 \times 10^4) - (1.22 \times 10^4)$ is equivalent to $4.61 \times 10^4$ .

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