Multiply. (2 * 10^4)(1 * 10^2) Choices: (A)5 * 10^6 (B)2 * 10^8 (C)5 * 10^8 (D)2 * 10^6

Group Coefficients and Power Terms: We have the expression (2 × 10^4)(1 × 10^2). First, we group the coefficients and power terms together. Coefficients: 2 and 1 Power terms: 10^4 and 10^2Multiply Coefficients: Multiply the coefficients. What is 2 × 1? 2 × 1 = 2Combine Power Terms: Combine the power terms 10^4 × 10^2 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^2 = 10^(4 + 2) = 10^6Write in Scientific Notation: We found: Coefficient = 2 Power term = 10^6 Now, write the final answer in scientific notation by substituting 2 for the coefficient and 6 for the exponent in the form a × 10^b. Scientific notation: 2 × 10^6

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Multiply. $\newline$ $(2 \times 10^4)(1 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $5 \times 10^6$ $\newline$ (B) $2 \times 10^8$ $\newline$ (C) $5 \times 10^8$ $\newline$ (D) $2 \times 10^6$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^4)(1 \times 10^2)

\newline

Choices:

\newline

(A)

5 \times 10^6

\newline

(B)

2 \times 10^8

\newline

(C)

5 \times 10^8

\newline

(D)

2 \times 10^6

Group Coefficients and Power Terms: We have the expression $(2 \times 10^4)(1 \times 10^2)$ . First, we group the coefficients and power terms together. $\newline$ Coefficients: $2$ and $1$ $\newline$ Power terms: $10^4$ and $10^2$
Multiply Coefficients: Multiply the coefficients. What is $2 \times 1$ ? $\newline$ $2 \times 1 = 2$
Combine Power Terms: Combine the power terms $10^4 \times 10^2$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^2$ $\newline$ $= 10^{(4 + 2)}$ $\newline$ $= 10^6$
Write in Scientific Notation: We found: $\newline$ Coefficient = $2$ $\newline$ Power term = $10^6$ $\newline$ Now, write the final answer in scientific notation by substituting $2$ for the coefficient and $6$ for the exponent in the form $a \times 10^b$ . $\newline$ Scientific notation: $2 \times 10^6$