Estimate the product without a calculator. $\left( 3 \times 10 ^ { 16 } \right) \left( 3 \times 10 ^ { 20 } \right)$
A) $9 \times 10 ^ { 50 }$
B) $9 \times 10 ^ { 36 }$
C) $6 \times 10 ^ { 36 }$
D) $6 \times 10 ^ { 320 }$
E) $9 \times 10 ^ { 320 }$

Question

Quizplus · Accepted Answer

To estimate the product, multiply the coefficients and add the exponents of the powers of 10: $ (3 \times 3) \times (10^{16} \times 10^{20}) = 9 \times 10^{36} $.

Estimate the Product Without a Calculator (3×1016)(3×1020)\left( 3 \times 10 ^ { 16 } \right) \left( 3 \times 10 ^ { 20 } \right)(3×1016)(3×1020)

Estimate the Product Without a Calculator $\left( 3 \times 10 ^ { 16 } \right) \left( 3 \times 10 ^ { 20 } \right)$