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Subtract. Write your answer in scientific notation. $\newline$ $(9 \times 10^5) - (7.7 \times 10^5)$ $\newline$ Choices: $\newline$ (A) $5.4 \times 10^0$ $\newline$ (B) $1.3 \times 10^5$ $\newline$ (C) $5.4 \times 10^5$ $\newline$ (D) $1.3 \times 10^0$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(9 \times 10^5) - (7.7 \times 10^5)

\newline

Choices:

\newline

(A)

5.4 \times 10^0

\newline

(B)

1.3 \times 10^5

\newline

(C)

5.4 \times 10^5

\newline

(D)

1.3 \times 10^0

Identify Coefficients: We have: $\newline$ $(9 \times 10^5) - (7.7 \times 10^5)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $9 - 7.7$ ? $\newline$ $9 - 7.7 = 1.3$
Convert to Scientific Notation: Write the answer in scientific notation. $\newline$ Substitute $1.3$ for $a$ and $5$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $1.3 \times 10^5$
Find Equivalent Expression: Choose the equivalent expression for $(9 \times 10^5) - (7.7 \times 10^5)$ . $(9 \times 10^5) - (7.7 \times 10^5) = 1.3 \times 10^5$ $(9 \times 10^5) - (7.7 \times 10^5)$ is equivalent to $1.3 \times 10^5$ .

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