Chapters

## Exercise 1

Calculate:

1.  27 + 3 · 5 – 16 =

2. 27 + 3 – 45 : 5 + 16 =

3. (2 · 4 + 12) (6 − 4) =

4. 3 · 9 + (6 + 5 – 3) – 12 : 4 =

5.  2 + 5 · (2 · 3)³ =

6.  440 − [30 + 6 (19 − 12)] =

7.  2{4 [7 + 4 (5 · 3 − 9)] − 3 (40 − 8)} =

8. 7 · 3 + [6 + 2 · (2³ : 4 + 3 · 2) – 7 · ] + 9 : 3 =

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## Exercise 2

Calculate:

1. (7 − 2 + 4) − (2 − 5) =

2. 1 − (5 − 3 + 2) − [5 − (6 − 3 + 1) − 2]=

3. −12 · 3 + 18 : (−12 : 6 + 8) =

4. 2 · [( −12 + 36) : 6 + (8 − 5) : (−3)] − 6 =

5. [(−2)5 · (−3)²] : (−2)² =

6. 6 + {4 − (17 − (4 · 4)] + 3} − 5 =

## Exercise 3

Calculate:

1. (3 − 8) + [5 − (−2)] =

2. 5 − [6 − 2 − (1 − 8) − 3 + 6] + 5 =

3. 9 : [6 : (− 2)] =

4. [(−2)5 − (−3)³]² =

5. (5 + 3 · 2 : 6 − 4 ) · (4 : 2 − 3 + 6) : (7 − 8 : 2 − 2)² =

6. [(17 − 15)³ + (7 − 12)²] : [(6 − 7) · (12 − 23)] =

Calculate:

1.

2.

Calculate:

Calculate:

Calculate:

Calculate:

## Solution of exercise 1

Calculate:

1. 27 + 3 · 5 – 16 =

= 27 + 15 − 16 = 26

2. 27 + 3 – 45 : 5 + 16=

27 + 3 – 9 + 16 = 37

3. (2 · 4 + 12) (6 − 4) =

= (8 + 12) (2) = 20 · 2 = 40

4. 3 · 9 + (6 + 5 – 3) – 12 : 4 =

= 27 + 8 – 3 = 32

5. 2 + 5 · (2 ·3)³ =

= 2 + 5 · (6)³ = 2 + 5 · 216 = 2 + 1080 = 1082

6. 440 − [30 + 6 (19 − 12)] =

= 440 − (30 + 6 · 7)] = 440 − (30 + 42) =

= 440 − (72) = 368

7. 2{4[7 + 4 (5 · 3 − 9)] − 3 (40 − 8)} =

= 2[4 (7 + 4 · 6) − 3 (32)] = 2[4 (7 + 24) − 3 (32)]=

2[4 (31) − 3 (32)]= 2 (124 − 96)= 2 (28)= 56

8.  7 · 3 + [6 + 2 · (2³ : 4 + 3 · 2) – 7 · ] + 9 : 3 =

= 21 + [ 6 + 2 · (2+ 6) – 14] +3 =

= 21 + ( 6 + 2 · 8 – 14) +3 =

= 21 + ( 6 + 16 – 14) + 3 =

= 21 + 8 + 3 = 32

## Solution of exercise 2

Calculate:

1. (7 − 2 + 4) − (2 − 5) = 9 − (−3) = 9 + 3 =12

2. 1 − (5 − 3 + 2) − [5 − (6 − 3 + 1) − 2] =

= 1 − (4) − [5 − (4) − 2] =

= 1 − (4) − (5 − 4 − 2)=

= 1 − (4) − (−1) =

= 1 − 4 + 1 = −2

3. −12 · 3 + 18 : (−12 : 6 + 8) =

= −12 · 3 + 18 : (−12 : 6 + 8) =

− 12 · 3 + 18 : (−2 + 8) =

= −12 · 3 + 18 : 6 =

= −36 + 3 = −33

4.  2 · [( −12 + 36) : 6 + (8 − 5) : (−3)] − 6 =

= 2 · [24 : 6 +3 : (−3)] − 6 =

= 2 · [ 4 + (−1)] − 6 =

2 · 3 − 6 = 6 − 6 = 0

5. [(−2)5 · (−3)²] : (−2)² =

(−32 · 9) : 4 = −288 : 4 = −72

6. 6 + {4 − (17 − (4 · 4)] + 3} − 5 =

= 6 + {4 − [(17 − (4 · 4)] + 3} − 5 =

6 + [4 − (17 − 16) + 3] − 5 =

= 6 + (4 − 1 + 3) − 5 =

6 + 6 − 5 = 7

## Solution of exercise 3

Calculate:

1. (3 − 8) + [5 − (−2)] = −5 + (5 + 2) = −5 + 7= 2

2. 5 − [6 − 2 − (1 − 8) − 3 + 6] + 5 =

= 5 − [6 − 2 − (−7) − 3 + 6] + 5 =

= 5 − [6 − 2 + 7 − 3 + 6] + 5 =

= 5 − 14 + 5 = −4

3.  9 : [6 : (−2)] = 9 : (−3) = −3

4. [(−2)5 − (−3)³]² =

= [− 32 − (−27)] = (−32 + 27)² =

= (−5)² = 25

5. (5 + 3 · 2 : 6 − 4 ) · (4 : 2 − 3 + 6) : (7 − 8 : 2 − 2)² =

= (5 + 6 : 6 − 4 ) · (4 : 2 − 3 + 6) : (7 − 8 : 2 − 2)² =

= (5 + 1 − 4 ) · (2 − 3 + 6) : (7 − 4 − 2)² =

= 2 · 5 : 1² =

= 2 · 5 : 1 = 10 : 1 = 10

6. [(17 − 15)³ + (7 − 12)²] : [(6 − 7) · (12 − 23)] =

= [(2)³ + (−5)²] : [(−1) · (−11)] =

= (8 + 25) : [(−1) · (−11)] =

= (8 + 25) : 11 =

= 33: 11 = 3

Solve:

1.

2.

Solve:

Solve:

Solve:

## Solution of exercise 8

Solve:

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