What is the quotient of 1.152 ×10^(6) and 6.4 ×10^(2) expressed in scientific notation? Answer:

Divide Coefficients: Divide the coefficients (1.152 by 6.4). Calculation: 1.152 ÷ 6.4 = 0.18Subtract Exponents: Subtract the exponents (6 minus 2). Calculation: 6 - 2 = 4Combine Results: Combine the results of Step 1 and Step 2 to express the quotient in scientific notation. Calculation: 0.18 × 10^4 However, the coefficient 0.18 is not between 1 and 10, which is required for proper scientific notation.Adjust Coefficient and Exponent: Adjust the coefficient to be between 1 and 10 and adjust the exponent accordingly. Calculation: 0.18 can be written as 1.8 × 10^(-1), so we need to add -1 to the exponent from Step 2. New exponent: 4 - 1 = 3Write Final Result: Write the final result in proper scientific notation. Calculation: 1.8 × 10^3

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What is the quotient of
1.152 ×10^(6) and
6.4 ×10^(2) expressed in scientific notation?
Answer:

What is the quotient of $1.152 \times 10^{6}$ and $6.4 \times 10^{2}$ 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 quotient of

1.152 \times 10^{6}

and

6.4 \times 10^{2}

expressed in scientific notation?

\newline

Answer:

Divide Coefficients: Divide the coefficients ( $1.152$ by $6.4$ ). $\newline$ Calculation: $1.152 \div 6.4 = 0.18$
Subtract Exponents: Subtract the exponents $6 - 2$ . $\newline$ Calculation: $6 - 2 = 4$
Combine Results: Combine the results of Step $1$ and Step $2$ to express the quotient in scientific notation. $\newline$ Calculation: $0.18 \times 10^4$ $\newline$ However, the coefficient $0.18$ is not between $1$ and $10$ , which is required for proper scientific notation.
Adjust Coefficient and Exponent: Adjust the coefficient to be between $1$ and $10$ and adjust the exponent accordingly. $\newline$ Calculation: $0.18$ can be written as $1.8 \times 10^{-1}$ , so we need to add $-1$ to the exponent from Step $2$ . $\newline$ New exponent: $4 - 1 = 3$
Write Final Result: Write the final result in proper scientific notation. $\newline$ Calculation: $1.8 \times 10^3$