Question

Please help!

Find the difference of 7.341 x 10^12 and 5.4 x 10^12.


A. 1.941 x 1012

B. 6.801 x 1012

C. 1.941 x 100

D. 6.801 x 100

Answer 1

`\sf A. \quad1.941 * 10^(12)`

Explanation:

To find the difference, subtract the second expression from the first expression:

`\implies \sf 7.341 * 10^(12)-5.4 * 10^(12)`

Factor out 10¹² by applying the Distributive Property of Subtraction in reverse:

`\implies \sf 10^(12)(7.341-5.4)`

Carry out the operation in the parentheses:

`\implies \sf 10^(12)(1.941)`

Rewrite in the original form:

`\implies \sf 1.941 * 10^(12)`