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Core skills · Level 8

Rational numbers

Fractions with signs: compare, add, multiply and find reciprocals.

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The idea

A rational number is any number you can write as a fraction, positive or negative.

−2−1.5−1−0.500.511.52
−2−1012

Look: −1½, −¾, ½ and 1¼ on the number line.

✏️ Your turn!

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  1. 1Write 0.5 as a fraction.

  2. 2⅚ − (−⅓) = ?

  3. 3Flip of −5/7?

! Careful!

  • ✗Putting −¾ to the right of −½.

    ✓−¾ is further from 0, so it is to the left.

  • ✗Thinking there is nothing between ⅓ and ½.

    ✓There are always more: try half way.

See the whole lesson on one page

A rational number is any number you can write as a fraction, positive or negative.

Negative fractions sit left of 0, like mirror images of positive ones. Between any two of them, there is always another one: just go half way.

Think of it like this−3½°C, ¾ of a cake and ₹12.50 are all rational numbers. Each has its own spot on the number line.

−2−1.5−1−0.500.511.52
−2−1012
−1½, −¾, ½ and 1¼ on the number line.

Solved together

Question

Find a number between ⅓ and ½.

  1. Go half way: add them and halve.

    ⅓ + ½ = 2/6 + 3/6 = 5/6
  2. Half of 5/6.

    5/6 ÷ 2 = 5/12
    0.250.30.350.40.450.50.55
    0.250.30.350.40.450.50.55

Answer5/12 is between them.

Now practise it

Kanakku makes new questions on rational numbers every time. It shows the working and gives a hint when you are stuck.

Play and practise