Question

Find the quotient of 4.13 X 108 and 0.04 105. In two or more complete sentences, explain each step in your

Answer 1

The quotient is 106.2

Step-by-step explanation:

Given the question as to find the quotient of  4.13×108 and 0.04×105 then

This can be written as;

$\frac{4.13*108}{0.04*105}$

multiplying the denominator by 100 to eliminate the decimals

$\frac{4.13*108*100}{0.04*105*100} \\\\=\frac{413*108}{4*105}$

Dividing both numerator value 108 by 4

$\frac{413*108}{105*4} \\\\\frac{413*27}{105}$

Dividing 27 and 105 by 3

$\frac{413*27}{105} \\\\\\=\frac{413*9}{35}$

Dividing 413 and 35 by 7

$\frac{413*9}{35} \\\\\\\frac{59*9}{5} \\=531/5 =106.2$

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Keywords: quotient, sentences, explain, calculations

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