number sense is 7/8 or 11/10 closer to 1 how did you decide?
Use equivalent fractions with a common denominator.
7/8 = 70/80
11/10 = 88/80
Which is closer to 80/80?
1. If you convert 7/8 to the denominator of 80 it would be 70/80
2. The same with 11/10 that would be 88/80
3. Which is closer to 80/80 ( 80/80 = 1 )
4. 11/10 is closer to 80/80, it is only 8 away from actually being 1 whole.
11/10??
To determine which fraction, 7/8 or 11/10, is closer to 1, we can compare their distances from 1.
First, let's find the distance between 7/8 and 1. We subtract 7/8 from 1:
1 - 7/8 = 8/8 - 7/8 = 1/8
So, the distance between 7/8 and 1 is 1/8.
Next, let's find the distance between 11/10 and 1. We subtract 11/10 from 1:
1 - 11/10 = 10/10 - 11/10 = -1/10
Wait, we have a negative distance! This indicates that 11/10 is actually less than 1, as it is to the left of 1 on the number line. To make it positive, we take the absolute value of -1/10, which gives us 1/10.
Therefore, the distance between 11/10 and 1 is 1/10.
Comparing the distances, we have:
Distance between 7/8 and 1 = 1/8
Distance between 11/10 and 1 = 1/10
Since 1/10 is smaller than 1/8, this means 11/10 is closer to 1 compared to 7/8.