Question

Обчислюючи,заміни ділене сумою зручних доданків і застосуй розподільний закон ділення відносно додавання. 90:5; 36:3;72:4;78:6;91:7;57:3;60:4;81:3.

Answer 1

90/5=(50+40)/5=50/5+40/5=10+8=18
36/3=(30+6)/3=30/3+6/3=10+2=12
72/4=40/4+32/4=10+8=18
78/6=60/6+18/6=10+3=13
91/7=70/7+21/7=10+3=13
57/3=30/3+27/3=10+9=19
60/4=40/4+20/4=10+5=15
81/3=30/3+30/3+21/3=10+10+7=27

Answer 2

Calculating and Applying the Distributive Law of Division

To solve the given division problems and apply the distributive law of division, we'll start by calculating each division and then apply the distributive law to verify the results.

1. Calculating the Divisions: - 90 ÷ 5 - 36 ÷ 3 - 72 ÷ 4 - 78 ÷ 6 - 91 ÷ 7 - 57 ÷ 3 - 60 ÷ 4 - 81 ÷ 3

2. Applying the Distributive Law of Division: According to the distributive law of division, a ÷ b + c ÷ b = (a + c) ÷ b, where a, b, and c are any numbers.

Let's calculate each division and then apply the distributive law to verify the results.

Calculation and Verification

1. 90 ÷ 5: - Result: 90 ÷ 5 = 18 - Verification using the distributive law: 90 ÷ 5 = (60 + 30) ÷ 5 = 60 ÷ 5 + 30 ÷ 5 = 12 + 6 = 18 - Therefore, the result is verified.

2. 36 ÷ 3: - Result: 36 ÷ 3 = 12 - Verification using the distributive law: 36 ÷ 3 = (24 + 12) ÷ 3 = 24 ÷ 3 + 12 ÷ 3 = 8 + 4 = 12 - Therefore, the result is verified.

3. 72 ÷ 4: - Result: 72 ÷ 4 = 18 - Verification using the distributive law: 72 ÷ 4 = (48 + 24) ÷ 4 = 48 ÷ 4 + 24 ÷ 4 = 12 + 6 = 18 - Therefore, the result is verified.

4. 78 ÷ 6: - Result: 78 ÷ 6 = 13 - Verification using the distributive law: 78 ÷ 6 = (54 + 24) ÷ 6 = 54 ÷ 6 + 24 ÷ 6 = 9 + 4 = 13 - Therefore, the result is verified.

5. 91 ÷ 7: - Result: 91 ÷ 7 = 13 - Verification using the distributive law: 91 ÷ 7 = (63 + 28) ÷ 7 = 63 ÷ 7 + 28 ÷ 7 = 9 + 4 = 13 - Therefore, the result is verified.

6. 57 ÷ 3: - Result: 57 ÷ 3 = 19 - Verification using the distributive law: 57 ÷ 3 = (39 + 18) ÷ 3 = 39 ÷ 3 + 18 ÷ 3 = 13 + 6 = 19 - Therefore, the result is verified.

7. 60 ÷ 4: - Result: 60 ÷ 4 = 15 - Verification using the distributive law: 60 ÷ 4 = (40 + 20) ÷ 4 = 40 ÷ 4 + 20 ÷ 4 = 10 + 5 = 15 - Therefore, the result is verified.

8. 81 ÷ 3: - Result: 81 ÷ 3 = 27 - Verification using the distributive law: 81 ÷ 3 = (54 + 27) ÷ 3 = 54 ÷ 3 + 27 ÷ 3 = 18 + 9 = 27 - Therefore, the result is verified.

Conclusion

The divisions have been calculated, and the results have been verified using the distributive law of division. All the results align with the distributive law, confirming the accuracy of the calculations.