Working with Integers

Learners will deepen their understanding of integers, both positive and negative, through practical examples and problem-solving exercises. The topic covers types of numbers, representation on the number line, the rules for operations involving integers, L.C.M and G.C.F and real-life scenarios like temperature changes, financial transactions, and altitude. Emphasis is laid on interpreting word problems and applying rules of signs correctly in addition, subtraction, multiplication, division, L.C.M and G.C.F.

Learning Outcomes:

The learner should be able to:

• identify, read and write natural numbers as numerals and words in million, billion and trillion.
• differentiate between natural numbers and whole numbers/integers.
• identify directed numbers.
• use directed numbers (limited to integers) in real life situations.
• use the hierarchy of operations to carry out the four mathematical operations on integers.
• identify even, odd, prime and composite numbers.
• find the prime factorisation of any number.
• relate common factors with HCF and multiples with LCM and their applications.
• work out and use divisibility tests of some numbers.