Simplify the following: ( 3 × 5 ) + 420 ÷ 5 - 6 × 8 + 3

Given: ( 3 × 5 ) + 420 ÷ 5 - 6 × 8 + 3 Use BODMAS rule to simplify. BODMAS means Bracket, Of, Division, Multiplication, Addition, Subtraction Simplify term inside bracket first = 15 + 420 ÷ 5 - 6 × 8 + 3 Do division = 15 + 84 - 6 × 8 + 3 Do multiplication = 15 + 84 - 48 + 3 Do addition = 102 - 51 Do subtraction = 51 Hence, final answer is 51 .

Simplify: 80 ÷ [ 90 - { 100 - 5 - 3 × ( 7 - 4 ) } ]

From the given, 80 ÷ [ 90 - { 100 - 5 - 3 × ( 7 - 4 ) } ] According to the BODMAS rule we need to simplify the expression inside the bracket at first. Now, we will simplify the terms inside ( ) followed by { } , then [ ] . 80 ÷ [ 90 - { 100 - 5 - 3 × 3 } ] 80 ÷ [ 90 - { 100 - 5 - 9 } ] 80 ÷ [ 90 - { 86 } ] 80 ÷ [ 90 - 86 ] 80 ÷ 4 20 Therefore, 20 is the required answer.

Solve using brackets: 109 × 402

Given, 109 × 402 We have, 109 × 402 = 109 × 400 + 2 = 109 × 400 + 2 × 109 = 43600 + 218 = 43818

Simplify: 120 + ( 3 × 15 ) + ( 19 - 12 ) - 7 × 10

Given, 120 + ( 3 × 15 ) + ( 19 - 12 ) - 7 × 10 Use BODMAS(Bracket Of Division Multiplication Addition Subtraction) operations like below = 120 + 45 + 7 - 7 × 10 = 120 + 45 + 7 - 70 = 172 - 70 = 102

Simplify the following: 80 - 3 of 13 + ( 15 - 8 ) - 2 × 7

Given, 80 - 3 of 13 + 15 - 8 - 2 × 7 Use BODMAS(Bracket Of Division Multiplication Addition Subtraction) operations like below Step 1 : Remove the bracket: 80 - 3 of 13 + 7 - 2 × 7 Step 2 : Do 'of' Operation: 80 - 39 + 7 - 2 × 7 Step 3 : Multiplication: 80 - 39 + 7 - 14 Step 4: Addition: 87 - 53 Step 5: Subtraction: 34

Simplify: 150 - [ 80 - 15 × 4 - 6 × 5 ]

From the given, 150 - [ 80 - 15 × 4 - 6 × 5 ] According to the BODMAS rule we need to simplify the expression inside the bracket at first. 150 - [ 80 - 60 - 30 ] 150 - 80 - 30 150 - 50 100 Therefore, 100 is the required answer.

Solve using brackets: 598 × 97

Given, 598 × 97 Now we have, 97 × 598 = 97 × 500 + 98 = 97 × 500 + 98 × 97 = 48500 + 9506 = 58006

Simplify: 9 + { 6 + 7 of 3 - ( 9 + 2 - 6 ÷ 2 ) }

Given, 9 + { 6 + 7 of 3 - ( 9 + 2 - 6 ÷ 2 ) } = 9 + { 6 + 7 × 3 - ( 9 + 2 - 3 ) } = 9 + { 6 + ( 7 × 3 ) - ( 11 - 3 ) } = 9 + 6 + 7 × 3 - 8 = 9 + 6 + 21 - 8 = 9 + 19 = 28

Simplify: 36 ÷ 7 × 8 - 50 + 2 × 3 - 45 ÷ ( 2 × 5 + 5 )

From the given, = 36 ÷ 7 × 8 - 50 + 2 × 3 - 45 ÷ ( 2 × 5 + 5 ) According to the BODMAS rule we need to simplify the expression inside the bracket at first. = 36 ÷ 56 - 50 + 6 - 45 ÷ ( 10 + 5 ) = 36 ÷ 6 + 6 - 45 ÷ ( 15 ) = 36 ÷ 12 - 45 ÷ 15 Now, using BODMAS rule dividing the numbers we get: = 3 - 3 = 0 Therefore, 0 is the required answer.

Simplify: 36 ÷ ( 10 + 2 ) + 5 × 6 - 4 × 8

Given, 36 ÷ ( 10 + 2 ) + 5 × 6 - 4 × 8 Use BODMAS(Bracket Of Division Multiplication Addition Subtraction) operations like below = 36 ÷ 12 + 5 × 6 - 4 × 8 = 3 + 5 × 6 - 4 × 8 = 3 + 30 - 32 = 33 - 32 = 1

Simplify: 90 + 3 of 15 + ( 19 - 8 ) - 7 × 8

Given, 90 + 3 of 15 + ( 19 - 8 ) - 7 × 8 Use BODMAS(Bracket Of Division Multiplication Addition Subtraction) operations like below Step 1 : Remove the bracket : 90 + 3 of 15 + 11 - 7 × 8 Step 2 : Do 'of' Operation : 90 + 45 + 11 - 7 × 8 Step 3 : Multiplication : 90 + 45 + 11 - 56 Step 4 : Addition: : 146 - 56 Step 5 : Subtraction: : 88

Simplify the following: 120 ÷ ( 45 - 9 - 6 ) + 15 × 6 - 5 × 8

Given 120 ÷ ( 45 - 9 - 6 ) + 15 × 6 - 5 × 8 Use BODMAS rule to simplify. BODMAS means Bracket, Of, Division, Multiplication, Addition, Subtraction Simplify term inside bracket first = 120 ÷ 30 + 15 × 6 - 5 × 8 Do division = 4 + 15 × 6 - 5 × 8 Do multiplication = 4 + 90 - 40 Do addition = 94 - 40 Do subtraction = 54 Hence, the final result is 54 .

Solve using brackets: 196 × 27

Given, 196 × 27 Now we have, 27 × 196 = 27 × 100 + 96 = 27 × 100 + 27 × 96 = 2700 + 2592 = 5292

From the given, 105 × 95 = 105 × 100 - 5 Now, multiplying the numbers inside the bracket by 105 we get: = 10500 - 525 = 9975 Therefore, 9975 is the required answer.

Solve using brackets: 43 × 56

Given, 43 × 56 We have, 43 × 56 = 43 × 50 + 6 = 43 × 50 + 43 × 6 = 2150 + 258 = 2408

Simplify: 9 × ( 21 + 9 )

From the given, 9 × 21 + 9 According to the BODMAS rule we need to simplify the expression inside the bracket at first. So, 9 × 30 = 270 Therefore, 270 is the required answer.

Simplify: 18 ÷ ( 25 - 10 - 6 ) + 5 × 6 - 4 × 8

Given, 18 ÷ ( 25 - 10 - 6 ) + 5 × 6 - 4 × 8 Use BODMAS(Bracket Of Division Multiplication Addition Subtraction) operations like below Step 1 )Remove the bracket: 18 ÷ 9 + 5 × 6 - 4 × 8 Step 2 ) Do 'of' Operation: 2 + 5 × 6 - 4 × 8 (There is no of term here) Step 3 ) Multiplication: 2 + 30 - 32 Step 4 )Addition: 32 - 32 Step 5 )Subtraction: 0