Integers | Mathematics for Year 8 PDF Download (2024)

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

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Question for Integers

Question _index_:

Which of the following numbers is a prime number?

A.
10
B.
13
See Also
Adding Integers: Definition, Rules & Examples - GeeksforGeeks Math Problem Solver | Word Problem Solver
C.
6
D.
15

View Solution

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Year 8 Exam>Year 8 Notes>Mathematics for Year 8>Integers

Table of contents
Factors, Multiples, and Primes
Multiplying and Dividing Integers
Square Roots and Cube Roots
Indices

Factors, Multiples, and Primes

Factors

Factors are numbers that divide another number exactly without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Examples:
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Multiples

Multiples of a number are obtained by multiplying that number by an integer. For example, the multiples of 5 are 5, 10, 15, 20, and so on.
Examples:
- First five multiples of 3:3, 6, 9, 12, 15
- First five multiples of 7: 7, 14, 21, 28, 35

Primes

Prime numbers are numbers greater than 1 that have no factors other than 1 and themselves. For example, 2, 3, 5, 7, and 11 are prime numbers.
Examples:
- Prime numbers between 1 and 20: 2, 3, 5, 7, 11, 13, 17, 19
- Prime numbers between 20 and 40:23, 29, 31, 37

Multiplying and Dividing Integers

Multiplying Integers

When multiplying integers, the product of two positive integers is positive, and the product of two negative integers is also positive. The product of a positive integer and a negative integer is negative.
Examples:
- 3 × 4 = 12
- (−3) × (−4) = 12
- 3 × (−4) = −12

Dividing Integers

When dividing integers, the quotient of two positive integers is positive, and the quotient of two negative integers is also positive. The quotient of a positive integer and a negative integer is negative.
Examples:
- 12 ÷ 4 = 3
- (−12) ÷ (−4) = 3
- 12 ÷ (−4) = −3

Question for Integers

Try yourself:

Which of the following numbers is a prime number?

A.
10
B.
13
C.
6
D.
15

View Solution

Square Roots and Cube Roots

Square Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 × 4 = 16.
Examples:
- √25 = 5
- √49 = 7

Cube Roots

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.
Examples:
- ∛8 = 2
- ∛64 = 4

Indices

Basic Indices

Indices, also known as exponents or powers, show how many times a number is multiplied by itself. For example, 2³ means 2 x 2 x 2 = 8.

Examples:

3² = 3 × 3 = 9

5³= 5 × 5 × 5 = 125

Laws of Indices

There are several laws of indices that make calculations easier:

Multiplication: a^m × aⁿ = a^m + n
- Example: 2³ × 2²= 2^{3 + 2} = 2⁵ = 32
Division: a^m ÷ aⁿ = a^m−n
- Example: 2⁵ ÷ 2²= 2⁵⁻² = 2³ = 8
Power of a Power: (a^m)ⁿ = a^mn
- Example: (2³)² = 2^3×2 = 2⁶ =64
Zero Index: a⁰ = 1 for any 𝑎 ≠ 0
- Example: 5⁰ = 1
Negative Index:
- Example:

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FAQs on Integers - Mathematics for Year 8

1. How do you divide integers?

Integers | Mathematics for Year 8 PDF Download (20)

Ans. When dividing integers, you follow the rules of division and then apply the rules for positive and negative integers. If the signs are the same, the result is positive. If the signs are different, the result is negative.

2. Can you give an example of dividing integers?

Integers | Mathematics for Year 8 PDF Download (21)

Ans. For example, if you divide -10 by 2, the result would be -5 because a negative divided by a positive is a negative.

3. What is the result when dividing a positive integer by a negative integer?

Integers | Mathematics for Year 8 PDF Download (22)

Ans. When dividing a positive integer by a negative integer, the result is always negative.

4. How is division with integers different from division with whole numbers?

Integers | Mathematics for Year 8 PDF Download (23)

Ans. Division with integers includes both positive and negative numbers, while division with whole numbers only includes positive numbers.

5. What happens when you divide by zero in integer division?

Integers | Mathematics for Year 8 PDF Download (24)

Ans. Division by zero is undefined in mathematics, so you cannot divide by zero in integer division.

About this Document

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Document Description: Integers for Year 8 2024 is part of Mathematics for Year 8 preparation. The notes and questions for Integers have been prepared according to the Year 8 exam syllabus. Information about Integers covers topics like Factors, Multiples, and Primes, Multiplying and Dividing Integers, Square Roots and Cube Roots, Indices and Integers Example, for Year 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Integers.

Introduction of Integers in English is available as part of our Mathematics for Year 8 for Year 8 & Integers in Hindi for Mathematics for Year 8 course. Download more important topics related with notes, lectures and mock test series for Year 8 Exam by signing up for free. Year 8: Integers | Mathematics for Year 8

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