Estimate the following:

\[ \frac{13}{20} - \frac{3}{10} \]

Is the result closer to 1 or 0?

\frac{12}{20}=\frac{6}{10}\\ \\\frac{6}{10}<\frac{13}{20} <\frac{7}{10}\ \ \ \Rightarrow\ \ \ \frac{6}{10}-\frac{3}{10}<\frac{13}{20}-\frac{3}{10} <\frac{7}{10}-\frac{3}{10}\\ \\ \frac{3}{10} <\frac{13}{20}-\frac{3}{10} <\frac{4}{10}\\ \\Ans.\ \frac{13}{20}-\frac{3}{10} \ is\ closer\ to\ 0"> 20 13 ​ < 20 14 ​ = 10 7 ​ an d 20 13 ​ > 20 12 ​ = 10 6 ​ 10 6 ​ < 20 13 ​ < 10 7 ​ ⇒ 10 6 ​ − 10 3 ​ < 20 13 ​ − 10 3 ​ < 10 7 ​ − 10 3 ​ 10 3 ​ < 20 13 ​ − 10 3 ​ < 10 4 ​ A n s . 20 13 ​ − 10 3 ​ i s c l oser t o 0

Answered by kate200468 | 2024-06-10

So, what you need to is find the decimal or percent of them. So 13/20 is 65% or .65. You get that buy multiplying it by 5 to get the denominator of 100. A denominator can go up to 100. 13/20 is closer to 1 because 65% is closer to 100% than 0%. Next 3/10 is 30%. Do that by multiplying it by 10 to get the denominator of 100. 30% is closer to 0 than 100%. Subtract them. 1-0= 1. The answer is 1.

Answered by ericlee999 | 2024-06-10

The estimation of 20 13 ​ − 10 3 ​ gives 0.35 , which is closer to 0 than to 1. Therefore, the result is closer to 0.
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Answered by ericlee999 | 2024-10-01