Grade 10 Maths · Algebra

Classify a real number

Decide whether a number is rational or irrational, natural, whole or an integer (for example √9 = 3 is rational but √2 is irrational).

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1) Number Types gr 10 | IntroKevinmathscience

The Number System: Grade 10 MathsMiss Martins Maths and Science

Rational and Irrational NumbersThe Organic Chemistry Tutor

Numbers Grade 10 Exam QuestionsKevinmathscience

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Question 6.1 · March 2016 · Provincial · 2 marks

The area of a square is

45

^{2}

6.1 Is the length of the side of the square a rational number or an irrational number? Explain your answer.(2)

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More past paper questions: classify a real number

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3. Question 1.1.2 · March 2025 · Provincial · 1 mark
1.1 If $x \in {0; 7; 9}$ , choose the value of $x$ from the given set that will make the expression $x - 5$ be:
1.1.2 Irrational(1)
Show the memo (1 tick)Memo
1. ✓
  Select valueFor $x = 7$ : $7 - 5 = 2$ (Irrational)
  Answer: $7$
  1 mark · Classify a real number
4. Question 1.1.1 · March 2024 · Provincial · 1 mark
1.1 Indicate whether each of the following numbers is rational or irrational:
1.1.1 $15$ (1)
Show the memo (1 tick)Memo
1. ✓
  Classify numberIrrational
  1 mark · Classify a real number
5. Question 1.1.3 · June 2024 · Paper 1 · Provincial · 1 mark
1.1 Determine the value(s) of $x$ for which the expression $\frac{x ^{2} + 4}{9 - x}$ :
1.1.3 Given, $x = 1$ , is the expression rational or irrational? Validate your answer with an appropriate calculation.(1)
Show the memo (1 tick)Memo
1. ✓
  Substitute and classify $\frac{1 ^{2} + 4}{9 - 1} = \frac{5}{8}$
  $0, 625$ is non-terminating.
  Answer: Irrational
  1 mark · Classify a real number
6. Question 1.1.3 · March 2023 · Provincial · 1 mark
If $x = 2$ and $y = - 2$ , decide whether the following expressions are rational, irrational or non-real:
1.1 Classify the expressions:
1.1.3 $x^{2}$ (1)
Show the memo (1 tick)Memo
1. ✓
  Substitute and classify $(2)^{2} = 2$
  1 mark · Classify a real number

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