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Types of number

10 flashcards to master Types of number

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Definition Flip

Define an integer and give three examples.

Answer Flip

An integer is any whole number (not a fraction) that can be positive, negative, or zero.

Example: -3, 0, 7.
Definition Flip

What is a prime number? Give an example of a prime number between 20 and 30.

Answer Flip

A prime number is a whole number greater than 1 that has only two factors: 1 and itself.

Example: 23 (only divisible by 1 and 23).
Definition Flip

What is a square number? Give an example of the first 5 square numbers.

Answer Flip

A square number is the result of multiplying an integer by itself.

Example: 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4), 25 (5x5).
Key Concept Flip

Determine if 64 is a cube number. Explain your reasoning.

Answer Flip

Yes, 64 is a cube number. This is because 4 x 4 x 4 = 64. It is the result of cubing the integer 4.

Definition Flip

What are triangular numbers? Provide the first 4 triangular numbers.

Answer Flip

Triangular numbers are formed by the sum of consecutive natural numbers.

Example: 1, 3 (1+2), 6 (1+2+3), 10 (1+2+3+4).
Definition Flip

Explain the difference between rational and irrational numbers. Provide an example of each.

Answer Flip

A rational number can be expressed as a fraction p/q, where p and q are integers and q ≠ 0 (

Example: 0.5, -2/3). An irrational number cannot be expressed as a fraction (. π, √2).
Key Concept Flip

What is the reciprocal of 5/3? Explain how to find the reciprocal of any number.

Answer Flip

The reciprocal of 5/3 is 3/5. To find the reciprocal, invert the fraction (swap the numerator and denominator). For a whole number, place it over 1 first, then invert.

Key Concept Flip

Find the Highest Common Factor (HCF) of 12 and 18.

Answer Flip

The HCF of 12 and 18 is 6. Factors of 12 are: 1, 2, 3, 4, 6, 12 and factors of 18 are: 1, 2, 3, 6, 9, 18. The highest number present in both is 6.

Key Concept Flip

What is the Lowest Common Multiple (LCM) of 4 and 6?

Answer Flip

The LCM of 4 and 6 is 12. Multiples of 4 are: 4, 8, 12, 16,... and multiples of 6 are: 6, 12, 18,... The lowest number present in both lists is 12.

Key Concept Flip

Express 24 as a product of its prime factors (prime factorization).

Answer Flip

24 = 2 x 2 x 2 x 3, or 2³ x 3. We find this by successively dividing by prime numbers until we reach 1.

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1.2 Fractions, decimals and percentages

Key Questions: Types of number

Define an integer and give three examples.

An integer is any whole number (not a fraction) that can be positive, negative, or zero.

Example: -3, 0, 7.
What is a prime number? Give an example of a prime number between 20 and 30.

A prime number is a whole number greater than 1 that has only two factors: 1 and itself.

Example: 23 (only divisible by 1 and 23).
What is a square number? Give an example of the first 5 square numbers.

A square number is the result of multiplying an integer by itself.

Example: 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4), 25 (5x5).
What are triangular numbers? Provide the first 4 triangular numbers.

Triangular numbers are formed by the sum of consecutive natural numbers.

Example: 1, 3 (1+2), 6 (1+2+3), 10 (1+2+3+4).
Explain the difference between rational and irrational numbers. Provide an example of each.

A rational number can be expressed as a fraction p/q, where p and q are integers and q ≠ 0 (

Example: 0.5, -2/3). An irrational number cannot be expressed as a fraction (. π, √2).

About Types of number (1.1)

These 10 flashcards cover everything you need to know about Types of number for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

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