1. is 2/3 a repeating or terminating decimal? (explanation)
2. is 1/8 a repeating or terminating decimal? (explanation)
3. is 1/9 a repeating or terminating decimal? (explanation)
4. is 5/7 a repeating or terminating decimal? (explanation)
5. is 8/10 a repeating or terminating decimal? (explanation)
6. is 1/4 a repeating or terminating decimal? (explanation)
Answers
Step-by-step explanation:
- 2/3= 0.66....
repeating bcz 6 is repeating after every digit
- 1/8=0.125
terminating bcz it is divided
- 1/9=0.11....
repeating bcz 1 is repeating after every digit
Answer:
Step-by-step explanation:
1 ) Explanation: Divide 2 by 3 to convert 2/3 in its decimal form. ... So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.666...
2) Let's look at the fraction 1/8. In decimal form it is 0.125, which is a terminating decimal.
3) It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero).
4 ) 5/7 is non terminating and non repeating
5 ) Some fractions will give you a decimal where the recurring part is all zeros, such as 4/5 = 0.80000... = 0.8. Such decimals are called terminating decimals. The fractions which give you terminating decimals are those which can be written in a form where the denominator is a power of 10 (for example, 4/5 = 8/10).
6 A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever.