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Oksi-84 [34.3K]
3 years ago
11

Compute 6.28x10^13+9.30x10^11

Chemistry
2 answers:
SpyIntel [72]3 years ago
7 0

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

<u>Method 1</u>

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)

<em>Perform multiplication</em>

= 62800000000000 + 930000000000

Add

= 63730000000000

<em>Convert to index form</em>

= 6.373 * 10^{13}

<u>Method 2</u>

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}

rodikova [14]3 years ago
6 0

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


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