The primary sector involves activities that:

produce goods directly from nature

Which of these belongs to the secondary sector?

Manufacturing cloth from cotton in a factory

Where do negative numbers lie on the number line?

To the left of zero; positive numbers lie to the right of zero.

Give a real-life situation needing negative numbers.

Floors below the ground in a building, temperatures below zero, or money owed (a debt) all need negative numbers.

Which is greater, \(-1\) or \(-5\)?

\(-1\) is greater, because it lies to the right of \(-5\) on the number line.

What is the opposite of \(+7\)?

Its opposite is \(-7\); they are the same distance from 0 on opposite sides.

What do you get when you add a number and its opposite?

You get 0, for example \(5 + (-5) = 0\).

How is adding a positive integer shown on the number line?

By moving that many steps to the right (or up in the building lift).

How is subtracting shown using the building of fun?

By moving down in the lift; going down from a floor subtracts, just as moving left on the number line.

Is zero a positive or a negative number?

Zero is neither positive nor negative; it separates the positive numbers from the negative numbers.

Why was the number ray extended into a full number line?

Because numbers less than 0 exist (to the left of 0), so the ray starting at 0 is completed into a true number line of integers.

CBSE Class 6 Annual Assessment

Q: What are integers?

Integers are the numbers \(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\): the positive and negative whole numbers together with zero.

Annual assessment for Class 6 students under CBSE, covering core subjects like Mathematics, Science, Social Science, English, and Hindi, focusing on foundational knowledge and skills.

The Other Side of Zero — Class 6 Mathematics

Notice Board

Mathematics · 10 chapters

Summary, key terms, important questions and a practice quiz with AI diagnosis for each.

CBSE Class 6Mathematics Ganita Prakash

Chapter 10: The Other Side of Zero

Summary

This final chapter extends the number line to the left of zero, introducing integers. Beginning with Bela\u2019s multi-storey building of fun, with floors above the ground (positive) and below the ground (negative), students see that numbers less than 0 are needed to describe situations like underground floors, debts and temperatures below zero. The complete number line now runs \(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\); positive numbers lie to the right of 0 and negative numbers to the left. Together with zero, the positive and negative whole numbers form the integers. Every integer has an opposite, such as \(+3\) and \(-3\), which are the same distance from 0. The chapter teaches comparing and ordering integers (a number to the right is greater, so \(-1 > -5\)) and then adding and subtracting them using movements on the number line and the building\u2019s lift: moving up adds and moving down subtracts. Adding a number and its opposite gives 0. Real contexts \u2014 tokens, floors, gains and losses \u2014 make the rules for signed numbers meaningful, completing the journey from counting numbers to the full set of integers.

Bela\u2019s Building of FunNumbers Less than ZeroThe Complete Number LineIntegers and their OppositesComparing and Ordering IntegersAdding and Subtracting Integers

Key terms

Integer

Any of the numbers \(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\): the positive and negative whole numbers together with zero.

Negative number

A number less than 0, lying to the left of zero on the number line.

Positive number

A number greater than 0, lying to the right of zero on the number line.

Number line

A line on which integers are marked at equal spacing, with 0 in the middle.

Opposite (additive inverse)

For an integer such as \(+3\), its opposite is \(-3\); they are equally far from 0 and add to give 0.

Zero

The integer separating positive and negative numbers; adding 0 to any number leaves it unchanged.

Important questions

Explore interactively

Key-term flashcards

Flip cards · mark known · keyboard ← → and Space

6 cards

Term1 / 6

Integer

Tap to reveal

Meaning1 / 6

Any of the numbers \(\dots, -3, -2, -1, 0, 1, 2, 3, \dots\): the positive and negative whole numbers together with zero.

Tap to flip back

Tap card to flip

Keyboard: ← → to move · Space to flip

Practice quiz · The Other Side of Zero

Score on this chapter, climb the leaderboard, and get an AI diagnosis of your mistakes.

Dual AI-verified questions Real exam pattern First quiz free

The Other Side of Zero

Maths 10 Qs · ~10 min