Which set of numbers are equivalent?
1/5,02,20
4/5,0.4,40%
2/20,0.01,10%
1/8,0.8,80%
1/5, 0.2, 20%
The set of numbers that are equivalent is:
1/5, 0.2, 20%
To determine which sets of numbers are equivalent, we need to convert each number to a common form. In this case, we can convert them all to decimal form (fractions to decimals and percentages to decimals).
Set 1: 1/5, 0.2, 20
Set 2: 4/5, 0.4, 0.4
Set 3: 2/20, 0.01, 0.1
Set 4: 1/8, 0.125, 0.125
Now we can compare the decimal values in each set to check for equivalence.
1. Set 1: {0.2, 20}
Set 2: {0.4, 0.4}
Set 3: {0.01, 0.1}
Set 4: {0.125, 0.125}
From the comparison, we can see that the decimal values in set 1 (0.2, 20) are not equivalent to any other set. Therefore, set 1 is not equivalent to any other set.
2. Set 2: {0.4, 0.4}
Set 3: {0.01, 0.1}
Set 4: {0.125, 0.125}
In this case, we can see that set 2 (0.4, 0.4) is the same as set 3 (0.01, 0.1). Both sets contain the same decimal values, so they are equivalent.
3. Set 3: {0.01, 0.1}
Set 4: {0.125, 0.125}
Again, in this case, we can see that set 3 (0.01, 0.1) is the same as set 4 (0.125, 0.125). Both sets contain the same decimal values, so they are equivalent.
Therefore, the sets of numbers that are equivalent are:
- Set 2: {4/5, 0.4, 40%}
- Set 3: {2/20, 0.01, 10%}
- Set 4: {1/8, 0.125, 80%}