The Other Side of Zero
Class 6 · Mathematics
5 ideas in Class 6 Mathematics, explained in plain words, with games and quizzes to practise.
Integers and Inverses
Part of: Numbers below zero
Integers are the whole numbers on both sides of zero: ... −3, −2, −1, 0, 1, 2, 3 ... Numbers above zero are positive and numbers below zero are negative. Zero is neither. Every integer has an inverse that brings you back to zero when added. The inverse of 5 is −5, and the inverse of −5 is 5.
Why it matters. Children meet negative numbers in temperatures, lifts and money. Without a clear picture of zero as the middle point, signs get mixed up and later work with algebra becomes confusing.
Try it in two minutes
- Draw a tall ladder on paper and mark the middle rung 0, the rungs above 1, 2, 3 and the rungs below −1, −2, −3.
- Place a coin on rung 0. Move it up 3 rungs and ask: how many rungs down to get back to 0?
- Repeat starting from a rung below zero and ask what move brings it back.
Try at home. Ask your child to name three places in daily life where we use numbers below zero.
Comparing Integers
Part of: Numbers below zero
On a number line, numbers farther to the right are greater and numbers farther to the left are smaller. Every negative number is smaller than zero and every positive number is greater than zero. Among negatives the one closer to zero is greater, so −2 is greater than −8.
Why it matters. Children often think that −8 is bigger than −2 because 8 is bigger than 2. Comparing integers correctly is needed for temperatures, depths and money owed.
Try it in two minutes
- Draw a line on the floor with chalk or tape and mark 0 in the middle.
- Ask your child to stand on −3 and then on 2. Ask: who is farther right, and who is the bigger number?
- Call out two numbers like −5 and −1 and ask which is greater, then let your child check by standing on them.
Try at home. Write five integers on paper slips and ask your child to put them in order from smallest to greatest.
Adding Integers
Part of: Adding and subtracting integers
Adding an integer means moving from a starting point. A positive number moves up or right and a negative number moves down or left. Starting at 2 and adding −5 takes you 5 steps back to −3. With tokens, one positive and one negative token cancel to make a zero pair.
Why it matters. Adding with signs shows up in scores, temperatures and money. Children who picture the movement avoid blindly adding the digits.
Try it in two minutes
- Use two colours of coins or buttons: one colour for positive and one for negative.
- Put 5 of one colour and 3 of the other. Remove pairs of different colours and ask: what is left?
- Say the sum aloud, for example 5 positives and 3 negatives leave 2 positives, so the sum is +2.
Try at home. Play a game: roll a die for the positive tokens and another for the negative tokens, then tell the final result.
Subtracting Integers
Part of: Adding and subtracting integers
Subtraction can mean finding the move needed to get from where you are to where you want to be: target minus start. From floor 2 to floor 7 you need +5, so 7 minus 2 is 5. Subtracting a number is the same as adding its inverse, so 6 minus (−3) is 6 plus 3.
Why it matters. Many mistakes with signs come from treating the minus signs as rules to memorise. Seeing subtraction as the gap between two positions makes the answer easy to check.
Try it in two minutes
- Use a ladder drawing or a number line on paper. Put one finger on the start and another on the target.
- Ask: how many steps, and up or down, do we need to go from the start to the target?
- Try one where the start is below zero and the target is above zero, and see the steps add up.
Try at home. Ask your child to make up a lift journey and write it as a subtraction sentence.
Integers in Money, Heights and Temperature
Part of: Integers in everyday life
Negative numbers describe things that fall on the other side of a starting point. In money, a credit is positive and a debit is negative. For heights, sea level is zero, places above are positive and places below are negative. For temperature, 0 degrees Celsius is where water freezes and colder values are negative.
Why it matters. These ideas make negative numbers real. Children read weather reports, bank statements and maps more easily when they see the zero point.
Try it in two minutes
- Look at the weather forecast or a thermometer picture together and find the zero mark.
- Ask: if it is 3 degrees and the temperature falls 5 degrees, what is it now?
- Do the same with pocket money: you have ₹ 20 and spend ₹ 30 on credit. What do you owe?
Try at home. Ask your child to keep a small record of money in and out for a week, using plus and minus signs.
What your child will practise
- Adding Integers: Space Quick Fire (Quick Fire)
- Comparing Integers: Candy Quest (Flip and Match)
- Integers and Inverses: Ocean Quest (Collect the Answer)
- Integers in Money, Heights and Temperature: Number Sort (Sort It Out)
- Subtracting Integers: Ocean Puzzle (Clue Puzzle)
- Quiz: Adding Integers (8 questions)
- Quiz: Comparing Integers (8 questions)
- Quiz: Integers and Inverses (8 questions)
- Quiz: Integers in Money, Heights and Temperature (8 questions)