Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 2 Practice 7 Order of Operations to finish your assignments.

## Math in Focus Grade 5 Chapter 2 Practice 7 Answer Key Order of Operations

**Simplify. Record each step.**

Example

18 — 11 — 4 = __3__

Step 1: __18 – 11 = 7__

Step 2: __7 – 4 = 3__

Answer:

3,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 18 – 11 = 7,

Step 2 : 7 – 4 =3.

Question 1.

26 + 8 – 19 = __15__

Step 1 ______

Step 2 ______

Answer:

15,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1 : 26 + 8 = 34,

Step 2 : 34 – 19 = 15.

Question 2.

12 + 16 – 9 + 3 = _22__

Step 1 ___

Step 2 ___

Step 3 ____

Answer:

22,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 12 + 16 = 28,

Step 2 : 28 + 3 = 31,

Step 3 : 31 – 9 = 22.

Question 3.

58 – 23 + 11 – 6 = _40__

Step 1 ___

Step 2 ___

Step 3 ____

Answer:

40,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 58 + 11 = 69,

Step 2: 69 – 23 = 46,

Step 3: 46 – 6 = 40.

**Simplify. State the order in which you performed the operations.**

Question 4.

60 + 18 – 7

Answer:

71,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 60 + 18 = 78,

Step 2: 78 – 7 = 71.

Question 5.

70 – 15 – 49 = 6

Answer:

6,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 70 – 49 = 21,

Step 2: 21 – 15 = 6.

Question 6.

23 + 16 – 7 + 12

Answer:

44,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 23 + 16 = 39,

Step 2: 39 + 12 = 51,

Step 3: 51 – 7 = 44.

Question 7.

15 – 12 + 17 – 6

Answer:

14,

Explanation:

The order of operation in math is a set of rules revolving around 4 major operators.

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 15 + 17 = 32,

Step 2: 32 – 12 = 20,

Step 3: 20 – 6 = 14.

**Simplify. Record each step.**

Example

9 × 6 __ ÷ __2 = __27__

Step 1: __9 × 6 = 54__

Step 2: __54 ÷ 2 = 27__

Question 9.

200 ÷ 10 × 3 ÷ 5 = _12__

Step 1 _________

Step 2 _________

Step 3 _________

Answer:

12,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 200 ÷ 10 = 20,

Step 2: 20 ÷ 5 = 4,

Step 3: 4 x 3 = 12.

Question 10.

250 ÷ 5 ÷ 10 × 2 = _10__

Step 1 _________

Step 2 _________

Step 3 _________

Answer:

10,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 250 ÷ 10 = 25,

Step 2: 25 ÷ 5 = 5,

Step 3: 5 x 2 = 10.

**Simplify. State the order in which you performed the operations.**

Question 11.

6 × 10 ÷ 5

Answer:

12,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 10 ÷ 5 = 2,

Step 2: 6 x 2 = 12.

Question 12.

28 ÷ 7 × 4

Answer:

16,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 28 ÷ 7 = 4,

Step 2: 4 x 4 = 16.

Question 13.

40 ÷ 8 ÷ 5

Answer:

1,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 40 ÷ 8 = 5,

Step 2: 5 ÷ 5 = 1.

Question 14.

20 ÷ 10 × 8 ÷ 2

Answer:

8,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 20 ÷ 10 = 2,

Step 2: 2 ÷ 2 = 1,

Step 3: 1 x 8 = 8.

Question 15.

120 ÷ 12 ÷ 2 × 16

Answer:

80,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1:

120 ÷ 12 = 10,

Step 2:

10 ÷ 2 = 5,

Step 3:

16 x 5 = 80.

**Simplify. Record each step.**

Example

7 × 8 – 6=__50__

Step 1: __7 × 8 = 56__

Step 2: __56 – 6 = 50__

Question 16.

14 + 9 × 7 = __77__

Step 1 ___

Step 2 ____

Answer:

77,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 9 x 7 = 63,

Step 2: 63 + 14 = 77.

Question 17.

200 ÷ 20 + 5 = _15__

Step 1 ___

Step 2 ____

Answer:

15,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1 : 200 ÷ 20 = 10,

Step 2 : 10 + 5 = 15.

Question 18.

80 – 16 ÷ 4 = _76__

Step 1 ___

Step 2 ____

Answer:

76,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1:

16 ÷ 4 = 4,

Step 2: 80 – 4 = 76.

**Simplify. State the order in which you performed the operations.**

Question 19.

90 + 16 ÷ 8

Answer:

92,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 16 ÷ 8 = 2,

Step 2: 90 + 2 = 92.

Question 20.

83 – 72 ÷ 6

Answer:

71,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 72 ÷ 6 = 12,

Step 2: 83 – 12 = 71.

Question 21.

5 + 90 × 7

Answer:

635,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 90 x 7 = 630,

Step 2: 630 + 5 = 635.

Question 22.

240 ÷ 20 + 15

Answer:

27,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 240 ÷ 20 = 12,

Step 2: 12 + 15 = 27.

Question 23.

7 × 80 – 160

Answer:

400,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 80 x 7 = 560,

Step 2: 560 – 160 = 400.

**Simplify. Record each step.**

Example

54 ÷ 6 + 20 × 4 = __89__

Step 1: __54 ÷ 6 = 9__

Step 2: __20 × 4 = 80__

Step 3: __9 + 80 = 89__

Question 24.

40 – 6 + 10 × 3 = _______

Step 1 __________________

Step 2 ________________

Step 3 _____________

Answer:

64,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 10 x 3 = 30,

Step 2: 30 + 40 = 70,

Step 3: 70 – 6 = 64.

Question 25.

36 ÷ 6 – 25 ÷ 5 = _______

Step 1 ________________

Step 2 ________________

Step 3 ___________________

Answer:

1,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 36 ÷ 6 = 6,

Step 2: 25 ÷ 5 = 5,

Step 3: 6 – 5 = 1.

Question 26.

25 × 4 – 36 ÷ 9 = ___

Step 1 __________

Step 2 __________

Step 3 ________

Answer:

96,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 36 ÷ 9 = 4,

Step 2: 25 x 4 = 100,

Step 3: 100 – 4 = 96.

**Simplify. State the order in which you performed the operations.**

Question 27.

20 – 5 × 2 + 6

Answer:

16,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 5 x 2 = 10,

Step 2: 20 – 10 = 10,

Step 3: 10 + 6 = 16.

Question 28.

13 – 6 × 2 + 12 ÷ 4

Answer:

4,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 12 ÷ 4 = 3,

Step 2: 6 x 2 = 12,

Step 3: 13 – 12 = 1,

Step 4: 3 + 1 = 4.

Question 29.

27 ÷ 3 + 40 × 6

Answer:

249,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 27 ÷ 3 = 9,

Step 2: 40 x 6 = 240,

Step 3: 240 + 9 = 249.

Question 30.

64 – 60 + 12 × 3

Answer:

40,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 12 x 3 = 36,

Step 2: 36 + 64 = 100,

Step 3: 100 – 60 =40.

Question 31.

42 ÷ 7 – 2 + 7

Answer:

11,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply DMAS rule.

DMAS is the elementary rule for the order of operation of the Binary operations.

This States that Division will be done before Multiplication,

multiplication before addition and addition before subtraction.

Step 1: 42 ÷ 7 = 6,

Step 2: 6 + 7 = 13,

Step 3: 13 – 2 = 11.

**Simplify. Record each step.**

Example

(15 – 11) × 9

Step 1: __15 – 11 = 4__

Step 2: __4 × 9 = 36__

Question 32.

(11 + 5) ÷ 16 = _1__

Step 1 ____

Step 2 ____

Answer:

1,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we use BODMAS rule.

The BODMAS stands for

B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 11 + 5 = 16,

Step 2: 16 ÷ 16 = 1.

**Simplify. Record each step.**

Question 33.

63 – (9 × 7) = _0_

Step 1 ______

Step 2 ________________

Answer:

0,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

The acronym stands for

B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition and S – Subtraction.

Step 1: 9 x 7 = 63,

Step 2: 63 – 63 = 0.

Question 34.

32 ÷ (14 + 2) = ____

Step 1 __________________

Step 2 __________________

Answer:

2,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

The acronym stands for

B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition and S – Subtraction.

Step 1 : 14 + 2 = 16,

Step 2 : 32 ÷ 16 = 2.

**Simplify. State the order in which you performed the operations.**

Answer:

Question 35.

(40 ÷ 5) × 11

Answer:

88,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1 40 ÷ 5 = 8,

Step 2 8 x 11 = 88.

Question 36.

(36 – 15) × 2

Answer:

42,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction,

Step 1: 36 – 15 = 21,

Step 2: 21 x 2 = 42.

Question 37.

36 – (15 × 2)

Answer:

6,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for

B – Brackets, O – Order of powers, D – Division, M – Multiplication,

A – Addition, and S – Subtraction.,

Step 1: 15 x 2 = 30,

Step 2: 36 – 30 = 6.

Question 38.

(62 + 10) ÷ 6

Answer:

12,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for

B – Brackets, O – Order of powers, D – Division, M – Multiplication,

A – Addition, and S – Subtraction,

Step 1:

62 + 10 = 72,

Step 2:

72 ÷ 6 =12.

Question 39.

70 ÷ (16 – 9)

Answer:

10,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1:

16 – 9 = 7,

Step 2 :

70 ÷ 7 = 10.

**Simplify. Record each step.**

Example

21 + (12 + 6) ÷ 3 = __27__

Step 1 __12 + 6 = 18__

Step 2 __18 ÷ 3 = 6__

Step 3 __21 + 6 = 27__

Question 40.

7 + (8 – 4) × 10 = _47___

Step 1 _______________

Step 2 _________

Step 3 ______

Answer:

47,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1 : 8 – 4 = 4,

Step 2 : 4 x 10 = 40,

Step 3 : 40 + 7 = 47.

Question 41.

32 ÷ (7 + 1) × 9 – 5 = ____

Step 1 _______________

Step 2 _________

Step 3 ______

Step 4 ______

Answer:

31,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication,

A – Addition, and S – Subtraction.

Step 1 : 7 + 1 = 8

Step 2 : 32 ÷ 8 = 4

Step 3 : 4 x 9 = 36

Step 4 : 36 – 5 = 31.

**Simplify. Record each step.**

Question 42.

(47 + 12) – 10 ÷ 5 × 3 = ___

Step 1 _________________

Step 2 ______________

Step 3 __________________

Step 4 __________________

Answer:

53,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 47 + 12 = 59,

Step 2: 10 ÷ 5 = 2,

Step 3: 2 x 3 =6,

Step 4: 59 – 6 = 53.

**Simplify. State the order in which you performed the operations.**

Answer:

Question 43.

24 × 5 – (125 – 80)

Answer:

75,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers,

D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Step 1 : 125 – 80 = 45,

Step 2 : 24 x 5 = 120,

Step 3: 120 – 45 = 75.

Question 44.

360 ÷ (98 + 22) × 19 – 30

Answer:

27,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers,

D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 98 + 22 = 120,

Step 2: 360 ÷ 120 = 3,

Step 3: 3 x 19 = 57,

Step 4: 57 – 30 = 27.

Question 45.

11 + (34 + 16) ÷ 5

Answer:

21,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 34 + 16 = 50,

Step 2: 50 ÷ 5 = 10,

Step 3: 10 + 11 = 21.

Question 46.

7 × 6 – (18 – 6)

Answer:

30,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 18 – 6 = 12,

Step 2: 7 x 6 = 42,

Step 3: 42 – 12 = 30.

Question 47.

21 ÷ (2 + 5) × 12 – 8

Answer:

28,

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division,

M – Multiplication, A – Addition, and S – Subtraction.

Step 1: 2 + 5 = 7,

Step 2: 21 ÷ 7 = 3,

Step 3: 3 x 12 = 36,

Step 4: 36 – 8 = 28.

**Simplify. Record each step.**

Example

{50 – [13 – (8 + 3)]} ÷ 4 = __12__

Step 1 __8 + 3__

Step 2 __13 – 11 = 2__

Step 3 __50 – 2 = 48</>
__Step 4

__48 ÷ 4 = 12__Question 48.

19 – [(18 + 2) – 6]

Step 1 __________________

Step 2 __________________

Step 3 __________________

Answer: 5

Step 1 18 + 2 = 20

Step 2 20 – 6 = 14

Step 3 19 – 14 = 5

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Question 49.

[(27 ÷ 9) – 3] + 30 = ___

Step 1 __________________

Step 2 __________________

Step 3 __________________

Answer: 30

Step 1 27 ÷ 9 = 3

Step 2 3 – 3 = 0

Step 3 0 + 30 = 30

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Question 50.

11 + {18 – [15 ÷ (20 – 15)]}= ____

Step 1 __________________

Step 2 __________________

Step 3 __________________

Step 4 __________________

Answer: 26

Step 1 20 – 15 = 5

Step 2 15 ÷ 5 = 3

Step 3 18 – 3 = 15

Step 4 11 + 15 = 26

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Question 51.

{[(100 ÷ 4) × (3 + 3)] ÷ 50} + 9 =

Step 1 ________________

Step 2 _____________

Step 3 __________________

Step 4 __________________

Step 5 __________________

Answer: 12

Step 1 100 ÷ 4 = 25

Step 2 3 + 3 = 6

Step 3 2 5 x 6 = 150

Step 4 150 ÷ 50 = 3

Step 3 + 9 = 12

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.

Question 52.

(108 – 86) + {120 ÷ [20 – (10 + 6)]} = ___

Step 1 __________________

Step 2 ________________

Step 3 __________________

Step 4 __________________

Step 5 __________________

Answer: 55

Step 1 10 + 6 = 16

Step 2 20 – 16 = 4

Step 3 120 ÷ 4 = 30

Step 4 108 – 86 = 22

Step 5 22 + 30 = 55

Explanation:

According to the order of operations, there is a particular sequence which we need to follow,

on each operator while solving the given mathematical expression we apply BODMAS rule.

BODMAS is the elementary rule for the order of operation of the Binary operations.

The acronym stands for B – Brackets, O – Order of powers, D – Division, M – Multiplication, A – Addition, and S – Subtraction.