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.

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.

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.

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: 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.