Stefan was finding the quotients of decimals and powers of ten. Here is what stefan wrote for two problems
0.2 ÷ 100 = 20. 0.02 ÷ 10 = 0.2
What did stefan do correctly? What did he do wrong? What can you tell him to help him divide correctly w in th powers of ten the next time?

Respuesta :

He had written out the problem based on how he said it. He should put the 100 in a "house" and make the 100 a decimal than move the decimal over over 1 because it's to the powers of ten, also because you have to have whole numbers to divide. He also forgot to find numbers that could get him close or to his answer.

Answer:

[tex]1.\rightarrow \frac{0.2}{100}=0.2 \times 10^{-2}\\\\=0.002\neq 20\\\\2.\rightarrow \frac{0.02}{10}\\\\=0.02 \times 10^{-1}\\\\\rightarrow 0.002\neq0.2[/tex]

With every increase in power of 10, in the denominator,decimal shift one unit left of the number or a digit increases after decimal.

This can be explained in following way

[tex]1.\rightarrow \frac{2}{10(10^1)}=0.2\\\\2.\rightarrow \frac{2}{100(10^2)}=0.02\\\\3.\rightarrow \frac{2}{1000(10^3)}=0.002\\\\........[/tex]

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