What is the product of 4.4 ×10^(2) and 3.2 ×10^(4) expressed in scientific notation? Answer:

Multiply Coefficients: Multiply the coefficients (4.4 and 3.2) together. Calculation: 4.4 × 3.2 = 14.08Add Exponents: Add the exponents (2 and 4) from the powers of 10. Calculation: 2 + 4 = 6Combine Results: Combine the results from Step 1 and Step 2 to form the scientific notation. Calculation: 14.08 × 10^6 However, the coefficient 14.08 is not between 1 and 10, so we need to adjust it to fit the scientific notation format.Adjust Coefficient: Adjust the coefficient to be between 1 and 10 and modify the exponent accordingly. We move the decimal point one place to the left in the coefficient to get 1.408. Since we moved the decimal one place to the left, we need to increase the exponent by 1. Calculation: 1.408 × 10^(6+1) = 1.408 × 10^7

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What is the product of
4.4 ×10^(2) and
3.2 ×10^(4) expressed in scientific notation?
Answer:

What is the product of $4.4 \times 10^{2}$ and $3.2 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer:

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Math Problems

Grade 8

Convert between standard and scientific notation

Full solution

Q. What is the product of

4.4 \times 10^{2}

and

3.2 \times 10^{4}

expressed in scientific notation?

\newline

Answer:

Multiply Coefficients: Multiply the coefficients ( $4.4$ and $3.2$ ) together. $\newline$ Calculation: $4.4 \times 3.2 = 14.08$
Add Exponents: Add the exponents ( $2$ and $4$ ) from the powers of $10$ . $\newline$ Calculation: $2 + 4 = 6$
Combine Results: Combine the results from Step $1$ and Step $2$ to form the scientific notation. $\newline$ Calculation: $14.08 \times 10^6$ $\newline$ However, the coefficient $14.08$ is not between $1$ and $10$ , so we need to adjust it to fit the scientific notation format.
Adjust Coefficient: Adjust the coefficient to be between $1$ and $10$ and modify the exponent accordingly. $\newline$ We move the decimal point one place to the left in the coefficient to get $1.408$ . $\newline$ Since we moved the decimal one place to the left, we need to increase the exponent by $1$ . $\newline$ Calculation: $1.408 \times 10^{6+1} = 1.408 \times 10^7$