What is the quotient of 2.058 ×10^(7) and 2.1 ×10^(4) expressed in scientific notation? Answer:

Question

What is the quotient of  2.058 ×10^(7) and  2.1 ×10^(4) expressed in scientific notation? Answer:

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Divide Decimal Parts: Divide the decimal parts of the given numbers. We need to divide 2.058 by 2.1 to find the quotient of the decimal parts. Calculation: 2.058 ÷ 2.1 ≈ 0.98 (rounded to two decimal places for simplicity).Subtract Exponents: Subtract the exponents of the given numbers. Since we are dividing numbers in scientific notation, we subtract the exponent of the divisor (2.1 × 10^4) from the exponent of the dividend (2.058 × 10^7). Calculation: 7 - 4 = 3.Combine Results: Combine the results of Step 1 and Step 2 to express the quotient in scientific notation. We combine the quotient of the decimal parts (0.98) with the result of subtracting the exponents (10^3) to express the final answer in scientific notation. Calculation: 0.98 × 10^3.Check Decimal Part: Check if the decimal part of the scientific notation is between 1 and 10. The decimal part we obtained, 0.98, is less than 1. We need to adjust it to be between 1 and 10 for proper scientific notation. Calculation: To adjust, we can rewrite 0.98 as 9.8 by multiplying by 10, which means we need to decrease the exponent by 1 to keep the value the same. Adjusted calculation: 9.8 × 10^(3-1) = 9.8 × 10^2.Write Final Answer: Write the final answer in correct scientific notation. The final answer, adjusted to have the decimal part between 1 and 10, is 9.8 × 10^2.

What is the quotient of $2.058 \times 10^{7}$ and $2.1 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer: $\newline$

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What is the quotient of $2.058 \times 10^{7}$ and $2.1 \times 10^{4}$ expressed in scientific notation? $\newline$ Answer: $\newline$