Emma made a mistake when she divided 6.4 by 0.02. She divided 2 into 64 and got 32 but she did not use the decimals. Describe her mistake and show the correct division.

Respuesta :

The given division can be expressed mathematically as:

[tex]\frac{6.4}{0.02}[/tex]

Emma did 64/2 and got 32 because he multiplied the numerator by 10 and the denominator by 100. This is a mistake because both the numerator and the denominator should be multiplied by equal number.

Emma can correct this mistake by multiplying the numerator (6.4) and the denominator(0.02) by 100 as shown below

[tex]\begin{gathered} \frac{6.4\times100}{0.02\times100} \\ =\text{ }\frac{640}{2} \\ =\text{ 320} \end{gathered}[/tex]

Therefore, the correct result for 6.4 divided by 0.02 is 320 and not 32 that Emma got.