The other side of zero class 6 worksheet

The Other Side of Zero Class 6 Worksheet with Answers

Discover how numbers extend below zero with The Other Side of Zero Class 6 worksheet with answers. Use this resource alongside NCERT Class 6 Maths Chapter 10 – The Other Side of Zero in the Ganita Prakash textbook to practise positive and negative integers, number-line comparisons, addition and subtraction.

Negative numbers help describe temperatures below zero, basement floors and positions below sea level. The revision examples below provide additional practice for Class 6 Chapter 10 Maths. Read each situation, identify the reference point and explain what the sign of the number means before calculating.

Integers: Numbers on Both Sides of Zero

Integers include negative whole numbers, zero and positive whole numbers: …, −3, −2, −1, 0, 1, 2, 3, …. Positive integers are greater than zero, while negative integers are less than zero. Zero is neither positive nor negative.

Fractions such as 1/2 are not integers. A positive integer may be written with or without a plus sign: +5 and 5 mean the same number. For negative integers, retain the minus sign because −5 and 5 represent different values.

Locate and Compare Integers on a Number Line

On a standard horizontal number line, values increase as you move right and decrease as you move left. Positive integers lie to the right of zero and negative integers to its left. Use equal intervals between consecutive integers.

Do not compare negative integers by ignoring their signs. Although 7 is greater than 2, −7 is smaller than −2.

Opposite Integers and Additive Inverses

Opposite integers lie at equal distances from zero on opposite sides of the number line. For example, 6 and −6 are opposites, and each is six units from zero.

The opposite of an integer is also called its additive inverse because adding the two gives zero: 6 + (−6) = 0. Zero is its own additive inverse. Distance from zero is non-negative: −8 is eight units away, not “minus eight units” away.

Add Integers Using Movement

For addition on a number line, start at the first integer. Adding a positive integer means moving right; adding a negative integer means moving left. The destination gives the sum.

When both integers are negative, the result is negative: −4 + (−3) = −7. Adding opposite integers gives zero. Use movement or a model to understand these results rather than memorising signs without context.

Subtract Integers by Adding the Opposite

Subtracting an integer is equivalent to adding its additive inverse. Keep the first number unchanged and replace the subtraction with addition of the opposite of the second number.

Brackets make negative numbers easier to read. In 3 − (−4), the first minus sign indicates subtraction and the second belongs to the negative number −4.

Understand Zero Pairs with Tokens

Use two types of counters to represent +1 and −1. One positive counter and one negative counter form a zero pair because their combined value is zero.

For +3 + (−5), combine three positive counters with five negative counters. Cancel three zero pairs; two negative counters remain, giving −2. Adding or removing a complete zero pair does not change a collection's value. This model helps explain why subtracting a negative quantity can increase the result.

Apply Integers to Temperatures and Floors

If the ground floor is labelled 0, a basement level can be represented by −1 and a floor above ground by +1. Starting at floor −2 and moving up five floors gives −2 + 5 = 3, so the destination is floor 3.

If the temperature is −4°C and rises by 7°C, the new temperature is 3°C. If it then falls by 5°C, it becomes −2°C. Identify whether the situation describes a position, a change or a difference. The distance between −4 and 3 on a number line is seven units, while the change from 3 to −4 is −7.

How to Practise NCERT Class 6 Maths Chapter 10

Attempt the worksheet before checking the answers. Draw a number line when needed, show intermediate steps and retain brackets around negative integers in calculations. For word problems, state the reference level and include units such as °C or metres.

Check common mistakes: reversing the order of negative integers, dropping a minus sign, treating zero as positive and assuming subtraction always makes a number smaller. Subtracting −3 actually adds 3.

Teachers and parents can use labelled floor diagrams or positive and negative counters for revision. Use this worksheet alongside the NCERT Class 6 Ganita Prakash Chapter 10 exercises. The examples on this page are supplementary activities for understanding integer operations.

More NCERT Class 6 Ganita Prakash Worksheets

Continue your revision with worksheets for the other nine chapters.

The Other Side of Zero Class 6 FAQs