Nội dung text Integrated Series 8th Class Maths - Solutions.pdf
Class 8 – Maths | I-8 Rational Numbers 2 x = 13 5 − 9 5 x = 4 5 So, the number that needs to be added to 9 5 to get 13 5 is 4 5 . Then the correct option is B) 4. Correct option: (C) The property illustrated by the given statement is the Associative Property. The Associative Property states that for any three numbers a, b, and c, the way we group them when adding or multiplying does not affect the result. In this case, the statement shows that we can group the fractions differently within the addition operation, but the final result remains the same. Then the correct option is C) 5. Correct option: (A) Let the number to be subtracted from 25 13 be x. The equation can be set up as follows: 25 13 − x = − 3 5 To solve for x, isolate it on one side of the equation: x = 25 13 + 3 5 x = 25 × 5 + 3 × 13 13 × 5 x = 125 + 39 65 x = 164 65 Then the correct option is A) 6. Correct option: (D) To determine the value of 'b' for which the rational numbers 1 4 and b 8 are equivalent, we need to find a value of 'b' that makes the fractions equal when simplified to their lowest terms. Simplify the fractions: 1 4 = 1 4 (no further simplification) b 8 = b 8 (no simplification possible) For the fractions to be equivalent, they need to be equal as they are: 1 4 = b 8 1 × 8 = b × 4 8 = 4b b = 8 4 b = 2 So, the value of b that makes the two rational numbers equivalent is 2. Then the correct option is D)