Multiply. (1 * 10^3)(1 * 10^3) Choices: (A)1 * 10^7 (B)5 * 10^6 (C)5 * 10^7 (D)1 * 10^6

Group Coefficients and Powers: We have the expression (1 * 10^3)(1 * 10^3). First, we group the coefficients and power terms together. Coefficients: 1 and 1 Power terms: 10^3 and 10^3Multiply Coefficients: Multiply the coefficients. What is 1 × 1? 1 × 1 = 1Combine Power Terms: Combine the power terms 10^3 × 10^3 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^3 = 10^(3 + 3) = 10^6Write in Scientific Notation: We found: Coefficient = 1 Power term = 10^6 Now, write the final answer in scientific notation. Substitute 1 for the coefficient and 6 for the exponent in a × 10^b. Scientific notation: 1 × 10^6

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Multiply. $\newline$ $(1 \times 10^3)(1 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $1 \times 10^7$ $\newline$ (B) $5 \times 10^6$ $\newline$ (C) $5 \times 10^7$ $\newline$ (D) $1 \times 10^6$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(1 \times 10^3)(1 \times 10^3)

\newline

Choices:

\newline

(A)

1 \times 10^7

\newline

(B)

5 \times 10^6

\newline

(C)

5 \times 10^7

\newline

(D)

1 \times 10^6

Group Coefficients and Powers: We have the expression $1 \times 10^3$ $1 \times 10^3$ . First, we group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $1$ $\newline$ Power terms: $10^3$ and $10^3$
Multiply Coefficients: Multiply the coefficients. What is $1 \times 1$ ? $\newline$ $1 \times 1 = 1$
Combine Power Terms: Combine the power terms $10^3 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^3$ $\newline$ $= 10^{3 + 3}$ $\newline$ $= 10^6$
Write in Scientific Notation: We found: $\newline$ Coefficient = $1$ $\newline$ Power term = $10^6$ $\newline$ Now, write the final answer in scientific notation. Substitute $1$ for the coefficient and $6$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $1 \times 10^6$