Which statement is correct? 3.56⋅1021.09⋅104≤(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104&lt;(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104&gt;(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104=(4.08⋅102)(1.95⋅10−6)

Question

Which statement is correct? 3.56⋅1021.09⋅104≤(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104&amp;lt;(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104&amp;gt;(4.08⋅102)(1.95⋅10−6) 3.56⋅1021.09⋅104=(4.08⋅102)(1.95⋅10−6)

rogreenhoxa8 · Accepted Answer

Let us first evaluate left side of the statements 3.56⋅1021.09⋅104:  3.56x1021.09x104=35610900∼0.0326=3.26x10−2  Let us next evaluate the right side of the statements (4.08x102)(1.95x10−6):  (4.08x102}(1.95x10−6)=(408)(0.00000195)∼0.0007956=7.956x10−4  The large the power of 10, the large the number is. This then implies that 3.56x10−2 is larger than 7.956x10−4.  3.56x1021.09x104=3,26x10−2&amp;gt;7.956x10−4=(4.08x102)(1.95x10−6)  Thus the third statement 3.56⋅1021.09⋅104&amp;gt;(4.08x102)(1.95x10−6) is then correct.

Which statement is correct? (3.5610^2)/(1.0910^4)<=(4.0810^2)(1.9510^-6)

Answered question

Answer & Explanation

New Questions in Algebra II