Question

Вычисли значения следующих частных,представив делимое в виде удобной разности и применив правило деления суммы на число 171:9 152:8 195:5 203:7 Проверь правильность вычисления с помощью умножения

Answer 1

19   х9=171
19   х8=152
39   х5=195
29

Answer 2

Division using the rule of dividing a sum by a number

To compute the values of the given quotients, we can rewrite the dividends as convenient differences and then apply the rule of dividing a sum by a number. Let's calculate the values step by step:

1. 9 divided by 171: We can rewrite 9 as the difference between 18 and 9: 18 - 9. Applying the rule of dividing a sum by a number, we have: (18 - 9) / 171 = 18/171 - 9/171.

2. 152 divided by 8: We can rewrite 152 as the difference between 160 and 8: 160 - 8. Applying the rule of dividing a sum by a number, we have: (160 - 8) / 171 = 160/171 - 8/171.

3. 195 divided by 5: We can rewrite 195 as the difference between 200 and 5: 200 - 5. Applying the rule of dividing a sum by a number, we have: (200 - 5) / 171 = 200/171 - 5/171.

4. 203 divided by 7: We can rewrite 203 as the difference between 210 and 7: 210 - 7. Applying the rule of dividing a sum by a number, we have: (210 - 7) / 171 = 210/171 - 7/171.

Now, let's check the correctness of these calculations using multiplication.

Checking the calculations using multiplication

To verify the correctness of the calculations, we can multiply the quotients obtained above by the divisor (171) and check if the result matches the corresponding dividend.

1. For 9 divided by 171: Calculated quotient: 18/171 - 9/171. Multiplying the quotient by the divisor (171): (18/171 - 9/171) * 171 = 18 - 9 = 9. The result matches the dividend of 9.

2. For 152 divided by 8: Calculated quotient: 160/171 - 8/171. Multiplying the quotient by the divisor (171): (160/171 - 8/171) * 171 = 160 - 8 = 152. The result matches the dividend of 152.

3. For 195 divided by 5: Calculated quotient: 200/171 - 5/171. Multiplying the quotient by the divisor (171): (200/171 - 5/171) * 171 = 200 - 5 = 195. The result matches the dividend of 195.

4. For 203 divided by 7: Calculated quotient: 210/171 - 7/171. Multiplying the quotient by the divisor (171): (210/171 - 7/171) * 171 = 210 - 7 = 203. The result matches the dividend of 203.

Therefore, the calculations are correct, and the values of the given quotients are as follows: - 9 divided by 171 = 18/171 - 9/171 = 0.1053... - 152 divided by 8 = 160/171 - 8/171 = 0.8888... - 195 divided by 5 = 200/171 - 5/171 = 1.1403... - 203 divided by 7 = 210/171 - 7/171 = 1.1871...

Please let me know if there's anything else I can help you with!