Find 1 terminating decimal and 1 repeating decimal between 1/2 and 2/3.
come on
1/2 = .5000
2/3 = .6666
So, anything in between, such as
.58345...
.66217...
To find a terminating decimal between 1/2 and 2/3, we need to represent these fractions as decimals.
1/2 as a decimal is 0.5, which is a terminating decimal since it ends after the tenths place.
2/3 as a decimal is approximately 0.66666... (repeating), which is a repeating decimal since it repeats the digit 6 infinitely.
To find a terminating decimal between 0.5 and 0.66666..., we can calculate the average.
Step 1: Add the decimals 0.5 and 0.66666... together:
0.5 + 0.66666... = 1.16666...
Step 2: Divide the sum by 2 to find the average:
1.16666... / 2 = 0.58333...
Therefore, 0.58333... is a repeating decimal between 0.5 and 0.66666...
To find a terminating decimal between 1/2 and 2/3, we can convert them back to fractions and find a fraction that has a terminating decimal representation.
To convert 1/2 into a fraction with a terminating decimal representation, we can multiply the numerator and the denominator by 5:
(1/2) * (5/5) = 5/10 = 1/10.
So, 1/10 is a fraction between 1/2 and 2/3 with a terminating decimal representation, which is 0.1.