Integers, Fractions and Decimals

Short Answer Questions(SAQs)

What is ‘Closure property’?

Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number.

What are the properties of zero?

• Zero is even
• Zero is neither positive nor negative
• Zero is an integer

What is the defintion of ‘inverse’?

A term is said to be in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases) of or relating to an inverse function.

What are the different types of fractions?

• Proper Fractions
• Improper Fractions
• Mixed Fractions
• Like Fractions
• Unlike Fractions
• Equivalent Fractions
• Unit Fractions

What is a mixed fraction?

A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.

What is ‘LCM’?

LCM is least common multiple. For two integers a and b, the LCM is the smallest positive integer that is evenly divisible by both a and b.

What are termination decimals?

A terminating decimal is one which can be expressed in a finite number of figures or for which all figures to the right of some place are zero: compare repeating decimal.

What are the importance of fractions?

• Determining the part of a number
• Probability
• Ratio calculations
• Algebraic equations
• Percentage determination

What are the uses of decimals?

Decimal numbers are used in situations where more precision is required than the whole numbers can provide.

MCQs

1. Which number is its own additive inverse?

(a) 0

(b) 1

(c) -1

(d) 100

► (a) 0 is its own additive inverse because 0 + 0 = 0.

2. What is the result of (-8) + (+3)?

(a) -5

(b) 5

(c) -11

(d) 11

► (a) -5 because adding +3 to -8 gives -5.

3. Which of these is not an integer?

(a) -3

(b) 0

(c) 23

(d) 1

► (c) 23 is a fraction, not an integer.

4. Which of these is a proper fraction?

(a) 53

(b) 35

(c) 55

(d) 5

► (b) 35 is a proper fraction since numerator < denominator.

5. The LCM of 4 and 6 is:

(a) 12

(b) 6

(c) 24

(d) 10

► (a) 12 is the smallest number divisible by both 4 and 6.

6. Which of the following is a mixed fraction?

(a) 73

(b) 2 13

(c) 23

(d) 1.33

► (b) 2 13 is a mixed fraction.

7. What is 12 + 13?

(a) 25

(b) 56

(c) 23

(d) 1

► (b) The LCM of 2 and 3 is 6, so the sum is 56.

8. A decimal that terminates is:

(a) Infinite

(b) Has repeating digits

(c) Ends after certain digits

(d) None of these

► (c) Terminating decimals have a finite number of digits.

9. Which is a terminating decimal?

(a) 1.5

(b) 0.333...

(c) π

(d) 73

► (a) 1.5 is a terminating decimal.

10. Decimal form of 14 is:

(a) 0.25

(b) 0.4

(c) 0.5

(d) 0.75

► (a) 14 = 0.25

11. 3.05 rounded to nearest tenth is:

(a) 3.0

(b) 3.1

(c) 3.2

(d) 3.4

► (b) 3.1 is nearest tenth to 3.05.

12. 0.7 + 0.03 =

(a) 0.10

(b) 0.73

(c) 0.07

(d) 0.003

► (b) 0.7 + 0.03 = 0.73

13. Which is equivalent to 25?

(a) 0.4

(b) 0.2

(c) 0.25

(d) 0.5

► (a) 25 = 0.4

14. 1 - 0.6 =

(a) 0.6

(b) 0.3

(c) 0.4

(d) 0.5

► (c) 1 - 0.6 = 0.4

15. Which fraction represents 75%?

(a) 34

(b) 25

(c) 13

(d) 45

► (a) 75% = 34

16. 0.1 × 0.1 =

(a) 0.01

(b) 0.001

(c) 0.1

(d) 1.0

► (a) 0.1 × 0.1 = 0.01

17. Which one is greater?

(a) 0.09

(b) 0.9

(c) 0.099

(d) 0.0999

► (b) 0.9 is the greatest.

18. Decimal form of 35 is:

(a) 0.6

(b) 0.3

(c) 0.5

(d) 0.2

► (a) 35 = 0.6