Question

Закончи вычисления с объяснением.240×3=(200+40)×3=,960÷3=(900+60)÷3=,203×4=(200+3)×4=,960÷6=(600+360)÷6=​

Answer 1

240 · 3 = (200 + 40) · 3 = 200 · 3 + 40 · 3 = 600 + 120 = 720

960 : 3 = (900 + 60) : 3 = 900 : 3 + 60 : 3 = 300 + 20 = 320

203 · 4 = (200 + 3) · 4 = 200 · 4 + 3 · 4 = 800 + 12 = 812

960 : 6 = (600 + 360) : 6 = 600 : 6 + 360 : 6 = 100 + 60 = 160

Answer 2

1. 240 × 3 = (200 + 40) × 3 = 240 × 3 = 240 × 3 = 720 In this calculation, we first break down 240 into (200 + 40), and then multiply it by 3. This can be done using the distributive property of multiplication over addition. We get the same result by directly multiplying 240 by 3, which is 720.

2. 960 ÷ 3 = (900 + 60) ÷ 3 = 960 ÷ 3 = 320 Similar to the previous example, we break down 960 into (900 + 60) and then divide it by 3. This can be done using the distributive property of division over addition. We get the same result by directly dividing 960 by 3, which is 320.

3. 203 × 4 = (200 + 3) × 4 = 203 × 4 = 812 Again, we use the distributive property of multiplication over addition. We break down 203 into (200 + 3) and then multiply it by 4. The result is 812.

4. 960 ÷ 6 = (600 + 360) ÷ 6 = 960 ÷ 6 = 160 Similarly, we break down 960 into (600 + 360) and then divide it by 6 using the distributive property of division over addition. The result is 160.

The distributive property is a fundamental property of arithmetic that allows us to perform calculations using smaller, easier-to-handle numbers while still getting the correct result.