7th Grade > Mathematics
RATIONAL NUMBERS MCQs
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D
Let the number to be added be x.
−34+x=516
x=516+34=516+1216=1716.
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D
A number which can be written in the form pq , where p and q are integers and q ≠ 0 is called a rational number.
By the above definition, pq can be a rational number only when q ≠ 0.
So, for the given fraction to be not a rational number, x should be zero.
For all the other given values of x, we will obtain a rational number.
For example, when x = 1,
−11x=−111=−11
when x = 2,
−11x=−112=−5.5
when x = -1,
−11x=−11−1=11
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4422=21 [Dividing both numerator and denominator by 22]
21=2
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B
Consider 23.
To make the numerator 8, we have to multiply the numerator by 4.
Therefore, multiplying both numerator and denominator by 4 gives the required number.
2×43×4=812
Therefore, required rational number is 812.
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Any number which can be represented in the form of pq where p and q are integers and q≠0 is a rational number.
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Answer: 1 Mark
Reason: 1 Mark
A rational number is one which has an integer as its numerator and denominator but the denominator cannot be equal to zero. Hence, the rational numbers here are: 39,−411
As the numbers √2,π cannot be written in simple fractions therefore thay are irrational ( Note: π=227 is a popular approximation, but it is not accurate.)
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Each part: 1 Mark
(i) Additive Inverse of 78 will be -78 since the sum of both is 0.
(ii) Additive Inverse of 12 will be -12, since their sum will be 0.
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Formula: 1 Mark
Answer: 1 Mark
The circumference is given by the formula C=2×π×r
So, C=2×π×3=6π
The area is given by the formula A=π×r2
So, A=π×32=9×π
As, π is irrational, so the circumference and area are both irrational.
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Each part: 1 Mark
(i) Reciprocal of −25=−52
Additive Inverse of −52=52
(ii) Reciprocal of −1716=−1617
Additive Inverse of −1617=1617