First let’s remind ourselves about order of operations. If you have a calculation like 2+7×3 or (2-7)x3, do you do the calculations from left to right? If not, how should you do them?

Exercise

Let’s complete the short exercises “exercise 12” and “exercise 13” on page 88 of the core textbook:

The answers are below:

Factors and multiples

We need to remember what the factors of a number are and what the multiples of a number are. We also need a reliable method for finding the highest common factor and the lowest common multiple of a number. Rewriting a number as a product of its prime factors can help us a lot in tackling problems involving factors an d multiples. Let’s try doing this for several numbers and then try finding the HCF and LCM of various pairs of numbers.

Exercise

Let’s complete exercise 14 on pages 89 to 91 of the core textbook:

The answers are below:

Irrational numbers

Do you know what an irrational number is? What does the word irrational mean in mathematical terms? Could you identify a rational number between 3 and 4?

Exercise

Let’s complete exercise 15 on pages 91 and 92 of the core textbook:

The answers are below: