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Cambridge 0580 IGCSE  ·  Topic C1.14

C1.14 Using a Calculator

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01 — Explanation

When should I round during a multi-step calculation?

Never round in the middle. Keep the full, unrounded value on your calculator throughout (using the ANS key or memory), and round only the final answer.

Cambridge's default rounding conventions (unless the question says otherwise):

  • Non-exact numerical answers → 3 significant figures.
  • Angles → 1 decimal place.

Common Slip

writing down a rounded value after each stage of a multi-step calculation. This accumulates rounding error and can shift the final answer outside the accepted range.

02 — Explanation

How do I enter a complicated fraction or root correctly?

Without brackets, a calculator only divides by the first term after the division sign. Always enclose a multi-term numerator or denominator in brackets.

Example: calculate 6.42−3.92.5+1.3\dfrac{6.4^2 - 3.9}{\sqrt{2.5+1.3}}, to 3 significant figures.

  1. Enter as (6.4^2 - 3.9) ÷ √(2.5 + 1.3), with brackets around both the numerator and the contents of the root.
  2. Read the full display: 16.994558…16.994558\ldots
  3. Round only at the end: 17.017.0 (3 s.f.).

03 — Explanation

How do I interpret unusual calculator displays?

A calculator doesn't know it's showing money or time — you have to translate the display yourself.

Calculator showsCorrect interpretation
4.8 in a money context\4.80$
3.25 in a time context33 hours 1515 minutes
2.5 when entering "2 hours 30 min"Enter as 2.52.5 (or use the DMS button)

Example: a calculator shows 3.43.4 after dividing hours worked by days. To convert to hours and minutes: the whole number (33) is the hours, and the decimal (0.40.4) must be multiplied by 6060 to give minutes: 0.4×60=240.4 \times 60 = 24. So the answer is 33 hours 2424 minutes.

Common Slip

reading 3.43.4 as "3 hours 40 minutes" directly. The decimal part is a fraction of an hour, not minutes — it must be multiplied by 6060 first.

04 — Explanation

How do I correctly enter a negative number for a calculation like (-5)^2?

Calculators have two different-looking minus symbols: a small (-) button for typing a negative number, and the longer − subtraction button. Using the wrong one can silently change your answer.

Example: find (−5)2−(−2)3(-5)^2 - (-2)^3 using a calculator.

  1. Enter the first term as ( (-) 5 ) ^ 2 — using the negative-number button, with brackets around the whole base — giving 2525.
  2. Enter the second term as ( (-) 2 ) ^ 3, giving −8-8.
  3. Combine using ordinary subtraction: 25 − (−8) = 25+8=3325+8=33.

Common Slip

typing -5^2 without brackets. Most calculators read this as "take 55, square it, then make the result negative," giving −25-25 instead of the intended 2525. Always wrap a negative base in brackets before applying a power.

05 — Common mistakes

Common mistakes to avoid

  • Rounding at each intermediate step instead of carrying the exact value through to the end.
  • Reading a decimal time display as minutes directly, without multiplying the decimal part by 6060.
  • Omitting brackets around a multi-term numerator or denominator, which silently changes what the calculator actually computes.