1 Doing calculations, with or without a calculator

Most science modules assume that you can add, subtract, multiply and divide whole numbers.

  • Check that you can do this by carrying out the following four calculations without using a calculator: nine plus three semicolon nine minus three semicolon nine multiplication three semicolon nine division three full stop

  • You should have obtained the following answers: nine plus three equals 12 semicolon nine minus three equals six semicolon nine multiplication three equals 27 semicolon nine division three equals three full stop

Now check that you can use your calculator to obtain the same answers as before. You are likely to need to enter the numbers and symbols in a simple sequence from left to right (for example, ‘9’ then ‘+’ then ‘3’) and then to press the ‘=’ key. However, some calculators use the symbol ‘*’ instead of ‘ multiplication ’ for multiplication and ‘/’ instead of ‘ division ’ for division, and at least one model requires users to press ‘Enter’ instead of ‘=’ in order to obtain the answer. Check your calculator now!

Most scientific calculations are rather more complicated than those discussed above, in that they involve several steps. In some of these calculations, for example:

sum with 4 summands nine plus three plus five plus two comma
three plus four minus two comma
five multiplication two multiplication seven comma
six multiplication two division three comma

you simply need to start at the left and work through to the right. So in the first example, adding 9 and 3 gives 12, adding another 5 gives 17 and adding another 2 gives the final answer of 19.

  • Check that you can do the following three calculations both without and with a calculator: three plus four minus two semicolon five multiplication two multiplication seven semicolon six multiplication two division three full stop

  • You should have obtained the following answers: three plus four minus two equals five semicolon five multiplication two multiplication seven equals 70 semicolon six multiplication two division three equals four full stop

Question 1.1

Use your calculator to find the following:

    • a. 283 plus 729
  • 283 plus 729 equals one times 012

    • b. 38 plus 92 minus 61

      (Note that you do not have to press ‘=’ after the first addition (38 + 92), though if you do the final answer should be the same; check this for yourself.)

  • 38 plus 92 minus 61 equals 69

    • c. 761 multiplication 13
  • 761 multiplication 13 equals nine times 893

    • d. 94 division 47
  • 94 division 47 equals two

    • e. 24 multiplication 32 multiplication eight
  • 24 multiplication 32 multiplication eight equals six times 144

    • f. 24 multiplication 32 division eight
  • 24 multiplication 32 division eight equals 96

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Using your scientific calculator
Next : 1.1 Doing calculations in the right order 
1.1 Doing calculations in the right order