Learning objective
Counting and measurement: Be familiar with the use of: • natural numbers for counting • real numbers for measurement. 64
Read the explanation, check the common trap, then practise with flashcards and questions.
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Topic
Number systems
Subtopic
Counting and measurement
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Quick explanation
Counting and measurement: Be familiar with the use of: • natural numbers for counting • real numbers for measurement. 64
- This point belongs to Number systems, especially Counting and measurement.
- You need to be able to counting and measurement: Be familiar with the use of: • natural numbers for counting • real numbers for measurement. 64.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Why it matters
This objective helps connect Counting and measurement to exam-style questions, flashcards, and revision notes for Number systems.
Quick student answer
Which value is most appropriately represented as a natural number when counting?
Direct answer
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Key terms
- Natural number: A number used for counting.
- Real number: A number used for measurement, including measurements that may have fractional values.
Common trap
Using a natural number for every value: Identify the purpose of the value. Counts use natural numbers, while measurements use real numbers because measurements may need fractional values.
Related questions
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Flashcard prompts
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Related learning objectives
- Natural numbers: Be familiar with the concept of a natural number and the set ℕ of natural numbers (including zero). ℕ = {0, 1, 2, 3, … }
Natural numbers
- Integer numbers: Be familiar with the concept of an integer and the set ℤ of integers. ℤ = { …, -3, -2, -1, 0, 1, 2, 3, … }
Integer numbers
- Rational numbers: Be familiar with the concept of a rational number and the set ℚ of rational numbers, and that this set includes the integers. ℚ is the set of numbers that can be written as fractions (ratios of integers). Since a number such as 7 can be written as 7/1, all integers are rational numbers.
Rational numbers
- Irrational numbers: Be familiar with the concept of an irrational number. An irrational number is one that cannot be written as a fraction, for example √2.
Irrational numbers
- Real numbers: Be familiar with the concept of a real number and the set ℝ of real numbers, which includes the natural numbers, the rational numbers and the irrational numbers. ℝ is the set of all 'possible real world quantities'.
Real numbers