Question

245. Обчисли значення виразу найзручнішим спосо- бом: 1) 4972 17+ 28 4972 - 35-4972; 2) 14 592 + 14 592 2 + 14 592.3 + 14 592-4; 3) 5983 14 +5983 11 - 4983 - 25; 4) 7182 164 (6182 127 +6182-37). помогите пж дам 20 балов ​

Answer 1

Відповідь:

1) 4972*17 + 28*4972 - 35*4972 = 4972*(17 + 28 - 35) = 4972* 10 = 49720

2) 14 592 + 14 592*2 + 14 592*3 + 14 592*4 = 14 592*(1+2+3+4) = 14 592*10 = 145 920  

3) 5983*14 + 5983*11 - 4983*25 = 5983*(14+11) - 4983*25 = 5983*25 - 4983*25 = 25*(5983 - 4983) = 25*1000 = 25 000

4)  7 182*164 - (6 182 * 127 + 6 182*37) = 7 182*164 - 6182(127+37) = 7 182*164 - 6 182*164 = 164*(7 182 - 6 182) = 164*1000 = 164 000

Покрокове пояснення:

Ці вирази обчислюються найзручнішим способом за допомогою винесення спільного множника за дужки (сполучний закон множення)

Answer 2

Calculation of Expressions

Let's calculate the values of the given expressions using the most convenient method:

1) 4972 + 17 - 28 + 4972 - 35 - 4972

To calculate this expression, we can combine the like terms first:

4972 + 4972 - 4972 + 17 - 28 - 35

Next, we can perform the addition and subtraction operations:

9944 - 4972 - 46

Finally, we can simplify the expression:

4926

2) 14,592 + 14,592 + 2 + 14,592.3 + 14,592 - 4

To calculate this expression, we can combine the like terms first:

14,592 + 14,592 + 14,592.3 + 14,592 - 4 + 2

Next, we can perform the addition and subtraction operations:

58,368.3 + 14,590

Finally, we can simplify the expression:

72,958.3

3) 5983 + 14 - 5983 + 11 - 4983 - 25

To calculate this expression, we can combine the like terms first:

5983 - 5983 - 4983 + 14 + 11 - 25

Next, we can perform the addition and subtraction operations:

0 - 4972

Finally, we can simplify the expression:

-4972

4) 7182 + 164 + (6182 + 127 + 6182 - 37)

To calculate this expression, we can start by simplifying the expression inside the parentheses:

6182 + 127 + 6182 - 37

Next, we can perform the addition and subtraction operations inside the parentheses:

12,451 - 37

Now, we can combine the result with the other terms:

7182 + 164 + 12,451 - 37

Next, we can perform the addition and subtraction operations:

19,797

Finally, we can simplify the expression:

19,797

I hope this helps! Let me know if you have any further questions.