Home › CBSE Class 8 › mathematics › rationalnumbers › Using distributivity, find: (3/5) × [(−7/9) + (4…
Using distributivity, find: (3/5) × [(−7/9) + (4/9)].
A1/5
B−1/5
C−3/15
D3/45
Answer & Solution
Correct answer: B. −1/5
Either way works. (i) Add first: (−7/9) + (4/9) = −3/9 = −1/3, then (3/5) × (−1/3) = −1/5. (ii) Distribute: (3/5)(−7/9) + (3/5)(4/9) = −21/45 + 12/45 = −9/45 = −1/5. Both give the same answer, confirming distributivity.
Related questions
Three rational numbers a, b, c are given. Which of the following is ALWAYS true?For which rational number a is the statement 'a is its own multiplicative inverse' TRUE?For which rational number a is the statement 'a is its own additive inverse' TRUE?Which of the following is the WHOLE NUMBER that is closest to 0 but is NOT a natural numbeDoes the rational number 0 have a multiplicative inverse?How many rational numbers exist between 1/3 and 1/2?Simplify using commutativity and distributivity: (2/5) × (−3/7) − (1/14) − (3/7) × (3/5)Find (−4/5) × (3/7) × (15/16) × (−14/9).