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Subtract. Write your answer in scientific notation. $\newline$ $(4.2 \times 10^8) - (2 \times 10^8)$ $\newline$ Choices: $\newline$ (A) $8.4 \times 10^8$ $\newline$ (B) $8.4 \times 10^4$ $\newline$ (C) $2.2 \times 10^4$ $\newline$ (D) $2.2 \times 10^8$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(4.2 \times 10^8) - (2 \times 10^8)

\newline

Choices:

\newline

(A)

8.4 \times 10^8

\newline

(B)

8.4 \times 10^4

\newline

(C)

2.2 \times 10^4

\newline

(D)

2.2 \times 10^8

Calculate Coefficients: We have: $\newline$ $(4.2 \times 10^8) - (2 \times 10^8)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $4.2 - 2$ ? $\newline$ $4.2 - 2 = 2.2$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $2.2$ for the coefficient and $8$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $2.2 \times 10^8$
Find Equivalent Expression: Choose the equivalent expression for $(4.2 \times 10^8) - (2 \times 10^8)$ . $(4.2 \times 10^8) - (2 \times 10^8) = 2.2 \times 10^8$ $(4.2 \times 10^8) - (2 \times 10^8)$ is equivalent to $2.2 \times 10^8$ .

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