Number ToolkitEdexcel IGCSE Maths: Flashcards
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What is an integer?
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- What is an integer?
- A whole number that can be positive, negative, or zero, with no fractional part.
- Define place value.
- The value a digit holds depending on its position in a number, e.g. the 4 in 4207 is worth 4000.
- What is the result of multiplying two negative numbers?
- A positive number, e.g. .
- What is the result of ?
- , because subtracting a negative is the same as adding: .
- Define a factor.
- A whole number that divides exactly into another number, leaving no remainder.
- Define a multiple.
- The result of multiplying a number by a positive integer, e.g. multiples of 5 are 5, 10, 15, ...
- What is a prime number?
- A number greater than 1 with exactly two factors: 1 and itself.
- Is 1 a prime number? Explain.
- No, because 1 only has one factor (itself), not two.
- Name the only even prime number.
- What is HCF and how do you find it using prime factorisation?
- Highest Common Factor — the largest number dividing two or more numbers exactly; found by multiplying the prime factors shared by all numbers.
- What is LCM and how do you find it using prime factorisation?
- Lowest Common Multiple — the smallest number that is a multiple of two or more numbers; found by multiplying the highest power of every prime factor present.
- What is a square number?
- The result of multiplying an integer by itself, e.g. .
- What is a cube number?
- The result of multiplying an integer by itself three times, e.g. .
- Explain what BIDMAS stands for.
- Brackets, Indices, Division/Multiplication, Addition/Subtraction — the order to evaluate a maths expression.
- Explain the correct order for division/multiplication and addition/subtraction under BIDMAS.
- Division and multiplication share equal priority (work left to right); addition and subtraction share equal priority (work left to right), after brackets and indices.