What is the quotient of [tex]3.069 \times 10^6[/tex] and [tex]4.95 \times 10^2[/tex] expressed in scientific notation?

A. [tex]6.2 \times 10^3[/tex]
B. [tex]6.2 \times 10^4[/tex]
C. [tex]6.2 \times 10^5[/tex]
D. [tex]6.2 \times 10^6[/tex]

The correct answer to the student's question is (b) 6.2 × 10⁴, obtained by dividing the significant figures of the given numbers and subtracting the exponents from their scientific notation.

Explanation:

The student asked for the quotient of 3.069 × 10⁶ and 4.95 × 10² expressed in scientific notation. To calculate this, we divide the numbers and subtract the exponents:

Divide the significant figures: 3.069 ÷ 4.95 = 0.6198

Subtract the exponents for powers of 10: 10⁶ ÷ 10² = 10⁴, since 6 - 2 = 4.

Rewrite the quotient in scientific notation, rounding the significant figure to two decimal places: 0.6198 is approximately 0.62, thus the answer in scientific notation is 6.2 × 10⁴.

Therefore, the correct answer is (b) 6.2 × 10⁴.

What is the quotient of [tex]3.069 \times 10^6[/tex] and [tex]4.95 \times 10^2[/tex] expressed in scientific notation?A. [tex]6.2 \times 10^3[/tex] B. [tex]6.2 \times 10^4[/tex] C. [tex]6.2 \times 10^5[/tex] D. [tex]6.2 \times 10^6[/tex]

Answer :

Other Questions

What is the quotient of [tex]3.069 \times 10^6[/tex] and [tex]4.95 \times 10^2[/tex] expressed in scientific notation?

A. [tex]6.2 \times 10^3[/tex]
B. [tex]6.2 \times 10^4[/tex]
C. [tex]6.2 \times 10^5[/tex]
D. [tex]6.2 \times 10^6[/tex]