Question

Решите по действиям (1008:112+567:81)*(291-287):64

Answer 1

(9+7)×4÷64=16+4:64=1

Answer 2

(1008÷112+567÷81)×(291-287)÷64=1

1) 1008:112=9
2) 567:81=7
3) 9+7=16
4) 291-287=4
5)16×4=64
6) 64÷64=1

ответ: 1

Answer 3

To solve the expression (1008:112 + 567:81) * (291 - 287) : 64, we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

1. First, let's simplify the expression inside the parentheses: 1008:112 + 567:81. - To simplify the division, we can convert it to multiplication by taking the reciprocal of the divisor. So, 1008:112 is equivalent to 1008 * (1/112), and 567:81 is equivalent to 567 * (1/81). - Now, we can add these two values: 1008 * (1/112) + 567 * (1/81).

2. Next, let's simplify the expression inside the second set of parentheses: 291 - 287.

3. Now, let's divide the result of step 1 by the result of step 2: (1008 * (1/112) + 567 * (1/81)) / (291 - 287).

4. Finally, let's divide the result of step 3 by 64: ((1008 * (1/112) + 567 * (1/81)) / (291 - 287)) / 64.

To calculate the final result, let's evaluate each step using a calculator:

Step 1: 1008 * (1/112) + 567 * (1/81) = 9 + 7 = 16.

Step 2: 291 - 287 = 4.

Step 3: (1008 * (1/112) + 567 * (1/81)) / (291 - 287) = 16 / 4 = 4.

Step 4: ((1008 * (1/112) + 567 * (1/81)) / (291 - 287)) / 64 = 4 / 64 = 0.0625.

Therefore, the solution to the expression (1008:112 + 567:81) * (291 - 287) : 64 is 0.0625.

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