A rational number is one that can be written as a fraction, where the numerator and denominator are both integers. A terminating decimal is a decimal number that ends after a finite number of digits.
Looking at the options, we can see that A: 1/3 and D: 5/11 are fractions, and they can be written as terminating decimals.
To determine which fraction is a terminating decimal, we can convert them to decimals.
For A: 1/3,
1 ÷ 3 = 0.33333333...
The decimal representation of 1/3 is a repeating decimal, not a terminating decimal.
For D: 5/11,
5 ÷ 11 = 0.45454545...
The decimal representation of 5/11 is a repeating decimal, not a terminating decimal.
Therefore, none of the given options are rational terminating decimals. The correct answer is none of the above (NOTA).
Which number is a rational terminating decimal?
A: 1/3
B: 3.46410161514
C: 6.2449979984
D: 5/11
E: 7/8
3 answers
that is not one of the options, try and redo the equation again because it cant be none of the above
Apologies for the confusion. Let's re-evaluate the given options:
A: 1/3 can be expressed as a decimal by dividing 1 by 3: 1 ÷ 3 = 0.33333333...
This is a repeating decimal and not a terminating decimal.
B: 3.46410161514 is already a decimal and is not a fraction. It is not a rational number.
C: 6.2449979984 is already a decimal and is not a fraction. It is not a rational number.
D: 5/11 can be expressed as a decimal by dividing 5 by 11: 5 ÷ 11 = 0.45454545...
This is a repeating decimal and not a terminating decimal.
E: 7/8 can be expressed as a decimal by dividing 7 by 8: 7 ÷ 8 = 0.875
This is a terminating decimal.
Therefore, the rational terminating decimal is E: 7/8.
A: 1/3 can be expressed as a decimal by dividing 1 by 3: 1 ÷ 3 = 0.33333333...
This is a repeating decimal and not a terminating decimal.
B: 3.46410161514 is already a decimal and is not a fraction. It is not a rational number.
C: 6.2449979984 is already a decimal and is not a fraction. It is not a rational number.
D: 5/11 can be expressed as a decimal by dividing 5 by 11: 5 ÷ 11 = 0.45454545...
This is a repeating decimal and not a terminating decimal.
E: 7/8 can be expressed as a decimal by dividing 7 by 8: 7 ÷ 8 = 0.875
This is a terminating decimal.
Therefore, the rational terminating decimal is E: 7/8.