Question

Compute 6.28x10^13+9.30x10^11

Answer 1

Answer:

$6.28 * 10^{13}$ + $9.30 * 10^{11}$ =  $6.373 * 10^{13}$

Explanation:

Given

$6.28 * 10^{13}$

$9.30 * 10^{11}$

Required

Add

The are quite a number of ways to solve this question.

I'll solve it using two methods

Method 1

$6.28 * 10^{13}$ + $9.30 * 10^{11}$

Expand Both indices

$(6.28 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10) + (9.30 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10)$

Perform multiplication

= $62800000000000 + 930000000000$

Add

$= 63730000000000$

Convert to index form

$= 6.373 * 10^{13}$

Method 2

$6.28 * 10^{13}$ + $9.30 * 10^{11}$

Expand $10^{13}: 10^{11+2} : 10^{11} * 10^{2}$ --- According to law of indices

$6.28 * 10^{11} * 10^{2}$ + $9.30 * 10^{11}$

Re-order

$6.28 * 10^{2} * 10^{11}$ + $9.30 * 10^{11}$

Factorize $(10^{11}-is-a-common-factor)$

$10^{11} (6.28 * 10^{2} + 9.30)$

Expand $6.28 * 10^{2} -to-6.28 * 100-to-628$

$10^{11} (628 + 9.30)$

Add 628 and 9.3

$10^{11} (637.3)$

Reorder

$637.3 * 10^{11}$

Represent in scientific notation

$6.373 * 10^{11} * 10^{2}$

$6.373 * 10^{13}$

Answer 2

Solution:

The calculation is:

6.28 * 10^13 + 9.30 * 10^11  

6.28 * 10^2 * 10^11 + 9.30 * 10^11  

(628 + 9.30) * 10^11  

637.3 * 10^11