Mentally approximate the product without a calculator. $\left( 6 \times 10 ^ { 14 } \right) \left( 3 \times 10 ^ { 20 } \right)$
A) $18 \times 10 ^ { 50 }$
B) $18 \times 10 ^ { 35 }$
C) $9 \times 10 ^ { 34 }$
D) $1.8 \times 10 ^ { 33 }$
E) $1.8 \times 10 ^ { 35 }$

Question

Quizplus · Accepted Answer

To mentally approximate, we can simplify $6 	imes 3$ to $18$ and $10^{14} 	imes 10^{20}$ to $10^{34}$ (by adding exponents). Therefore, the product is approximately $18 	imes 10^{34}$, which matches choice (E).

Mentally Approximate the Product Without a Calculator (6×1014)(3×1020)\left( 6 \times 10 ^ { 14 } \right) \left( 3 \times 10 ^ { 20 } \right)(6×1014)(3×1020)

Mentally Approximate the Product Without a Calculator $\left( 6 \times 10 ^ { 14 } \right) \left( 3 \times 10 ^ { 20 } \right)$