Step: 1

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

Step: 2

Among the choices, except 0.055, all are repeating decimals.

Step: 3

So, 0.055 is a terminating decimal.

Correct Answer is : 0.055

(I)

(II)

(III)

Step: 1

A fraction can be converted into a decimal by dividing the numerator by the denominator. If the division ends with a remainder of zero, the decimal is called a terminating decimal.

Step: 2

Consider the first fraction, 4 9 :

4 9 = 0.44444444...

[Convert the fraction into a decimal number.]

Step: 3

Consider the second fraction, 6 5 :

6 5 = 1.20

[Convert the fraction into a decimal number.]

Step: 4

Consider the third fraction, 6 11 :

6 11 = 0.54545454...

[Convert the fraction into a decimal number.]

Step: 5

Among the fractions, the second fraction is a terminating decimal.

Correct Answer is : Only (II)

i. 33 ÷ 6

ii.6 ÷ 33

Step: 1

33 ÷ 6

[Divide 33 with 6.]

Step: 2

The quotient obtained after dividing 33 with 6 is 5.5, which is a terminating decimal.

Step: 3

6 ÷ 33

[Divide 6 with 33.]

Step: 4

After dividing 6 with 33, the quotient obtained is 0.181818...

Step: 5

Since 18 is coming repetatively in quotient, 6 ÷ 33 is a repeating decimal.

Step: 6

So, (ii) is a repeating decimal.

Correct Answer is : (ii)

Step: 1

For 1 9 , the quotient is 0.11111. . . and the digit 1 is repeating.

Step: 2

For 4 9 , the quotient is 0.444. . . and the digit 4 is repeating.

Step: 3

For 4 3 , the quotient is 1.333. . . and the digit 3 is repeating.

Step: 4

For 5 10 , the quotient is 0.5.

Step: 5

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

Step: 6

So, 5 10 is a terminating decimal.

Correct Answer is : 5 10

Step: 1

For 1 7 , the quotient is 0.14285714285714. . . . . the digits 142857 are repeating

Step: 2

For 1 3 the quotient is 0.3333. . . . . the digit is 3 is repeating

Step: 3

For 2 9 , the quotient is 0.2222 . . . . . . the digit 2 is repeating

Step: 4

For 1 4 , the quotient is 0.25

Step: 5

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

Step: 6

So, 1 4 is a terminating decimal

Correct Answer is : 1 4

Step: 1

For 2 ÷ 3, the quotient is 0.66666. . . and the digit 6 is repeating.

Step: 2

For 4 ÷ 9, the quotient is 0.44444. . . and the digit 4 is repeating.

Step: 3

For 10 ÷ 3, the quotient is 3.33333. . . and the digit 3 is repeating.

Step: 4

For 5 ÷ 2, the quotient is 2.5.

Step: 5

A decimal that terminates or stops after a finite number of decimal places is a terminating decimal.

Step: 6

So, 5 ÷ 2 is the terminating decimal.

Correct Answer is : 5 ÷ 2

- Converting Fractions and Decimals-Gr 8-Solved Examples
- Classifying Rational and Irrational Numbers-Gr 8-Solved Examples
- Approximating Square Roots of Irrational Numbers-Gr 8-Solved Examples
- Locating Irrational Numbers on a Number Line-Gr 8-Solved Examples

- Terminating Decimal