Question

11. Вычислите. a) [2+4 7+2²]+[4×2+5×3] c) [6x2+2-(-6)](-5+|(-18÷6)) b) -4-[2+4(-6)-4-22-5x2] d) 2× (-3) +3-6[-2-(1-3)] ​

Answer 1

Ответ:

A) 2 b)0 c)-64 d)0

Пошаговое объяснение

A) (2+4[7+2²] ÷ (4×2+5×3)=2

B) -4[2+4(-6)-4-22-5×2]=0

5×2=10

2+4=6  6×(-6)=-36 -36-4=-32  -32-22=10  10-10=0

C) (6×2+2-(-6)) (-5+[(-18:6)])=(-64)

6×2=12  12+2=14  14-(-6)= 8 

[-18:6]=[-3]=[3]=3 -5+3=(-8)

8×(-8)= (-64)

D) 2×(-3)+3-6[-2-(1-3)]=0

2×(-3)=-6 -6+3=(-9) -9-6=3 1-3=(-2)

-2-(-2)=[0]=0 3×0=0

Answer 2

a) [2+4 7+2²]+[4×2+5×3]

Let's solve this step by step:

Step 1: Calculate the values inside the brackets. [2+4 7+2²] = [6 7+4] = [6 7+16] = [6 23]

Step 2: Calculate the values inside the second brackets. [4×2+5×3] = [8+15] = [23]

Step 3: Add the results from Step 1 and Step 2. [6 23] + [23] = [6+23 23+23] = [29 46]

Therefore, the result is [29 46].

b) -4-[2+4(-6)-4-22-5×2]

Let's solve this step by step:

Step 1: Calculate the values inside the brackets and simplify. 2 + 4(-6) = 2 + (-24) = -22 -4 - [2 + (-22) - 4 - 22 - 5×2] = -4 - [-20 - 26] = -4 - [-46] = -4 + 46 = 42

Therefore, the result is 42.

c) 6×2+2-(-6)

Let's solve this step by step:

Step 1: Calculate the values inside the brackets and simplify. 6×2+2-(-6) = 12 + 2 + 6 = 20

Step 2: Calculate the absolute value. |-18÷6| = |-3| = 3

Step 3: Calculate the values inside the second brackets. (-5+3) = -2

Step 4: Multiply the results from Step 1 and Step 3. 20 × -2 = -40

Therefore, the result is -40.

d) 2× (-3) + 3 - 6[-2 - (1-3)]

Let's solve this step by step:

Step 1: Calculate the values inside the brackets and simplify. 1-3 = -2 -2 - (-2) = -2 + 2 = 0

Step 2: Simplify the expression further. 2 × (-3) + 3 - 6 × 0 = -6 + 3 - 0 = -3

Therefore, the result is -3.