Anita verifies distributivity: she computes 2/3 × (1/2 - 1/5 ) two ways. Way 1: simplify the bracket first. Way 2: distribute the 2/3 over both terms. What single value should both ways give?

Question

Accepted Answer

1/5. Bracket: 1/2 - 1/5 = 5/10 - 2/10 = 3/10. Then 2/3 × 3/10 = 6/30 = 1/5. Distributivity gives the same: 2/3 × 1/2 - 2/3 × 1/5 = 1/3 - 2/15 = 5/15 - 2/15 = 3/15 = 1/5.

Anita verifies distributivity: she computes $\frac{2}{3} \times (\frac{1}{2} - \frac{1}{5})$ two ways.
Way 1: simplify the bracket first.
Way 2: distribute the $\frac{2}{3}$ over both terms.
What single value should both ways give?

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More Class 8 Properties of Rational Numbers practice

Anita verifies distributivity: she computes 32​×(21​−51​) two ways.Way 1: simplify the bracket first.Way 2: distribute the 32​ over both terms.What single value should both ways give?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Rational Numbers practice

Anita verifies distributivity: she computes $\frac{2}{3} \times (\frac{1}{2} - \frac{1}{5})$ two ways.
Way 1: simplify the bracket first.
Way 2: distribute the $\frac{2}{3}$ over both terms.
What single value should both ways give?