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              \\January 6, 2024 4:42 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                       Practice Time 2F



                Simplify the following expressions.
                1. 32 – 8 × 2                                     2. 18 + 20 ÷ 4

                3. 15 × 10 ÷ 2                                    4. 35 × 48 + 2024

                5. 4025 ÷ 175 + 1362                              6. 16 – 16 ÷ 2 – 3

                7. 8 × 13 – 4 × 15                                8. 37 – 6 × 4 + 32 ÷ 4

                9. 30 – 28 + 36 ÷ 2                               10. 96 ÷ 16 + 34 × 10 – 13

                11. 3 × 4 – 45 ÷ 9 + 12 × 5                       12. 70 ÷ 14 × 6 – 10 ÷ 5 + 1

              ODMAS

              When the operator ‘of’ is given in a question, follow the rules of ODMAS to find the result.

                                       O     D   M   A   S
                                                                                     Remember
                              ‘Of’                                              The operator ‘of’ means
                         Division                                               multiplication. For

                   Multiplication                                               example,  1
                                                                                 1
                         Addition                                                2  of 8 =   × 8 = 4
                                                                                          2
                     Subtraction
                                     1
              Example: Simplify:   of 15 + 2 × 5 – 4 ÷ 2.
                                     3
              Solution:     1   of 15 + 2 × 5 – 4 ÷ 2                      [‘Of’,   of 15 =   × 15 = 15 ÷ 3 = 5]
                                                                                              1
                                                                                  1
                            3                                                     3           3
                            = 5 + 2 × 5 – 4 ÷ 2                            [Division, 4 ÷ 2 = 2]
                            = 5 + 2 × 5 – 2                                [Multiplication, 2 × 5 = 10]

                            = 5 + 10 – 2                                   [Addition, 5 + 10 = 15]
                            = 15 – 2                                       [Subtraction, 15 – 2 = 13]

                            = 13

              BODMAS

              Sometimes, in numerical expressions, we need to group the operations and to group the
              operations, we use various symbols called brackets. So, we can say, brackets are grouping
              symbols. We generally use the following brackets for grouping.

                    (a)  (  ): Parentheses or round brackets


                    (b)  { }: Braces or curly brackets
                    (c)  [ ]: Square brackets or box brackets

                    (d)        : Line brackets or bar brackets or vinculum


              Mathematics-5                                                                                          49
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