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Subtract. Write your answer in scientific notation. $\newline$ $(6.63 \times 10^6) - (2.6 \times 10^6)$ $\newline$ Choices: $\newline$ (A) $4.03 \times 10^8$ $\newline$ (B) $4.03 \times 10^6$ $\newline$ (C) $4.03 \times 10^4$ $\newline$ (D) $4.03 \times 10^2$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(6.63 \times 10^6) - (2.6 \times 10^6)

\newline

Choices:

\newline

(A)

4.03 \times 10^8

\newline

(B)

4.03 \times 10^6

\newline

(C)

4.03 \times 10^4

\newline

(D)

4.03 \times 10^2

Calculate Coefficients: We have: $\newline$ $(6.63 \times 10^6) - (2.6 \times 10^6)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $6.63 - 2.6$ ? $\newline$ $6.63 - 2.6 = 4.03$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $4.03$ for the coefficient and $6$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $4.03 \times 10^6$
Find Equivalent Expression: Choose the equivalent expression for $(6.63 \times 10^6) - (2.6 \times 10^6)$ . $(6.63 \times 10^6) - (2.6 \times 10^6) = 4.03 \times 10^6$ $(6.63 \times 10^6) - (2.6 \times 10^6)$ is equivalent to $4.03 \times 10^6$ .

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