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Subtract. Write your answer in scientific notation. $\newline$ $(4 \times 10^7) - (2.1 \times 10^7)$ $\newline$ Choices: $\newline$ (A) $8.4 \times 10^7$ $\newline$ (B) $8.4 \times 10^0$ $\newline$ (C) $1.9 \times 10^7$ $\newline$ (D) $1.9 \times 10^0$

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Add and subtract numbers written in scientific notation

Full solution

Q. Subtract. Write your answer in scientific notation.

\newline

(4 \times 10^7) - (2.1 \times 10^7)

\newline

Choices:

\newline

(A)

8.4 \times 10^7

\newline

(B)

8.4 \times 10^0

\newline

(C)

1.9 \times 10^7

\newline

(D)

1.9 \times 10^0

Identify Subtraction Problem: We have the following subtraction problem: $\newline$ $(4 \times 10^7) - (2.1 \times 10^7)$ $\newline$ Since the powers of $10$ are the same, we can subtract the coefficients directly. $\newline$ What is $4 - 2.1$ ? $\newline$ $4 - 2.1 = 1.9$
Perform Subtraction: Write the answer in scientific notation. $\newline$ Substitute $1.9$ for the coefficient and $7$ for the exponent in the format $a \times 10^b$ . $\newline$ Scientific notation: $1.9 \times 10^7$
Convert to Scientific Notation: Choose the equivalent expression for $(4 \times 10^7) - (2.1 \times 10^7)$ . $(4 \times 10^7) - (2.1 \times 10^7) = 1.9 \times 10^7$ The correct choice is (C) $1.9 \times 10^7$ .

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