Question

4. Определи порядок действий и вычисли значения выражений 5 212 036 - (28 175 : 35 + 403 • 208 - 1242 :18) • 7 897 744 : 472 + 251 • 84 - (69 • 391 - 66 112 : 8) 87 613 + 665 760 : 95 + 103 • (500 200 - 469 937) даю 13 б

Answer 1

Пошаговое объяснение:

1.сначало действия в скобках

1)28175:35=305

2)403•208=83824

3)1242:18=69

4)305+83824+69=84198

5)84198•7=589386

6)5212036-589386=4622650

2.

1)897744:472=1902

2)69•391=26979

3)66112:8=764

4)26979-764=26215(мы полностью раскрыли скобки)

5)1902+251-84=2069

6)2069-26215=-24146

3.

1)665760:95=7008

2)500200-469937=30263

3)103•30263=3117089

4)87612+7008+3117089=3211710

Answer 2

Order of Operations and Calculation of Expressions

To determine the order of operations and calculate the values of the given expressions, let's break down each expression step by step:

1. Expression 1: 5 + 212 + 036 - (28 + 175 : 35 + 403 • 208 - 1242 : 18) • 7 + 897 + 744 : 472 + 251 • 84 - (69 • 391 - 66 + 112 : 8) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) To calculate this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression into smaller parts and calculate them step by step:

- Step 1: Calculate the values inside parentheses - (28 + 175 : 35 + 403 • 208 - 1242 : 18) To calculate this part, we need to perform the division and multiplication first, and then the addition and subtraction. - 175 : 35 = 5 - 403 • 208 = 83,824 - 1242 : 18 = 69 Now we can substitute these values back into the expression: - (28 + 5 + 83,824 - 69) - (69 • 391 - 66 + 112 : 8) Following the same order of operations, we can calculate: - 69 • 391 = 26,979 - 112 : 8 = 14 Substituting these values back into the expression: - (26,979 - 66 + 14) Now we can substitute the calculated values back into the main expression: - 5 + 212 + 036 - (28 + 5 + 83,824 - 69) • 7 + 897 + 744 : 472 + 251 • 84 - (26,979 - 66 + 14) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 2: Perform multiplication and division from left to right - (28 + 5 + 83,824 - 69) • 7 - (28 + 5 + 83,824 - 69) = 83,788 - 83,788 • 7 = 586,516 Substituting this value back into the expression: - 5 + 212 + 036 - 586,516 + 897 + 744 : 472 + 251 • 84 - (26,979 - 66 + 14) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 3: Perform addition and subtraction from left to right - 5 + 212 + 036 - 586,516 + 897 - 5 + 212 + 036 = 253 - 253 - 586,516 + 897 = -585,366 Substituting this value back into the expression: - -585,366 + 744 : 472 + 251 • 84 - (26,979 - 66 + 14) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 4: Perform multiplication and division from left to right - -585,366 + 744 : 472 - 744 : 472 = 1.576 - -585,366 + 1.576 = -585,364.424 Substituting this value back into the expression: - -585,364.424 + 251 • 84 - (26,979 - 66 + 14) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 5: Perform addition and subtraction from left to right - -585,364.424 + 251 • 84 - 251 • 84 = 21,084 - -585,364.424 + 21,084 = -564,280.424 Substituting this value back into the expression: - -564,280.424 - (26,979 - 66 + 14) + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 6: Perform addition and subtraction from left to right - -564,280.424 - (26,979 - 66 + 14) - 26,979 - 66 + 14 = 26,927 - -564,280.424 - 26,927 = -591,207.424 Substituting this value back into the expression: - -591,207.424 + 87 613 + 665 760 : 95 + 103 • (500 + 200 - 469 937) - Step 7: Perform multiplication and division from left to right - 665 760 : 95 - 665,760 : 95 = 7,008 Substituting this value back into the expression: - -591,207.424 + 87 613 + 7,008 + 103 • (500 + 200 - 469 937) - Step 8: Perform addition and subtraction from left to right - -591,207.424 + 87 613 + 7,008 - -591,207.424 + 87,613 + 7,008 = -496,586.424 Substituting this value back into the expression: - -496,586.424 + 103 • (500 + 200 - 469 937) - Step 9: Perform multiplication and division from left to right - 103 • (500 + 200 - 469 937) - 500 + 200 - 469,937 = -469,237 - 103 • -469,237 = -48,287,411 Substituting this value back into the expression: - -496,586.424 + -48,287,411 - Step 10: Perform addition and subtraction - -496,586.424 + -48,287,411 = -48,783,997.424 Therefore, the value of the expression is approximately -48,783,997.424.

Please note that the above calculation is based on the given expression and the order of operations. If there are any errors or missing parentheses in the original expression, the result may differ.