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

Multiply Decimals: Multiply the decimal parts of the numbers. We have 4.4 and 3.2 to multiply. Calculation: 4.4 × 3.2 = 14.08Add Exponents: Add the exponents of the powers of 10. We have 10^2 and 10^4, so we add the exponents 2 and 4. Calculation: 2 + 4 = 6Combine Results: Combine the results of Step 1 and Step 2 to express the product in scientific notation. We have 14.08 from the decimal multiplication and 10^6 from the exponent addition. Calculation: 14.08 × 10^6 However, scientific notation requires the decimal part to be between 1 and 10, so we need to adjust 14.08.Adjust Decimal: Adjust the decimal part to fit the scientific notation format. We need to move the decimal point in 14.08 one place to the left to make it 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:
Submit Answer

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

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Math Problems

Grade 7

Least common multiple

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:

\newline

Submit Answer

Multiply Decimals: Multiply the decimal parts of the numbers. $\newline$ We have $4.4$ and $3.2$ to multiply. $\newline$ Calculation: $4.4 \times 3.2 = 14.08$
Add Exponents: Add the exponents of the powers of $10$ . We have $10^2$ and $10^4$ , so we add the exponents $2$ and $4$ . Calculation: $2 + 4 = 6$
Combine Results: Combine the results of Step $1$ and Step $2$ to express the product in scientific notation. $\newline$ We have $14.08$ from the decimal multiplication and $10^6$ from the exponent addition. $\newline$ Calculation: $14.08 \times 10^6$ $\newline$ However, scientific notation requires the decimal part to be between $1$ and $10$ , so we need to adjust $14.08$ .
Adjust Decimal: Adjust the decimal part to fit the scientific notation format. $\newline$ We need to move the decimal point in $14.08$ one place to the left to make it $1.408$ . $\newline$ Since we moved the decimal one place to the left, we need to increase the exponent by $1$ . $\newline$ Calculation: $1.408 \times 10^{6+1} = 1.408 \times 10^7$