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Number System

NIOS · Class 10 · Maths

Flashcards for Number System — NIOS Class 10 Maths. Quick Q&A cards covering key concepts, definitions, and formulas.

39 questions35 flashcards5 concepts

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An infographic showing the nested relationship between Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. Irrational Numbers are shown as a separate set within Real Numbers,
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35 Flashcards
Card 1Natural Numbers

Solve: 2 - 6 in the natural number system.

Answer

Step 1: Check whether the subtraction stays inside natural numbers. Step 2: 2 - 6 gives a negative result. Step 3: Negative numbers are not in natural numbers. Answer: 2 - 6 is not defined in natural

Card 2Natural Numbers

Solve: 6 / 4 in the natural number system.

Answer

Step 1: Divide 6 by 4. Step 2: 6 / 4 = 3 / 2. Step 3: 3 / 2 is not a natural number. Answer: 6 / 4 is not defined in natural numbers.

Card 3Whole Numbers

Why are whole numbers needed after natural numbers?

Answer

Natural numbers do not include 0. But subtraction like a - a needs a number left out after taking something away from itself. Step 1: Extend natural numbers by 0. Step 2: Get 0, 1, 2, 3, ... Answer: W

Card 4Whole Numbers

Find: 0 - a in the whole number system.

Answer

Step 1: Subtracting a positive whole number from 0 gives a negative result. Step 2: Negative numbers are not whole numbers. Answer: 0 - a is not defined in whole numbers.

Card 5Integers

Solve: 9 + (-5) using the number line idea.

Answer

Step 1: Start at 9. Step 2: Adding -5 means move 5 steps to the left. Step 3: Land on 4. Answer: 9 + (-5) = 4.

Card 6Integers

Solve: (-3) + (-7) using the number line idea.

Answer

Step 1: Start at -3. Step 2: Adding -7 means move 7 steps to the left. Step 3: Land on -10. Answer: (-3) + (-7) = -10.

Card 7Integers

Why do integers extend whole numbers?

Answer

Some subtractions are not possible in natural numbers or whole numbers. Step 1: 2 - 3 is not possible there. Step 2: Add numbers like -1, -2, -3, ... so subtraction can work. Answer: Integers are crea

Card 8Classification of Numbers

Classify these numbers: 7, 12, 0, -31, -13.

Answer

Step 1: Natural numbers are 1, 2, 3, ... so 7 and 12 are natural numbers. Step 2: Whole numbers are 0, 1, 2, 3, ... so 0, 7, 12 are whole numbers. Step 3: Integers include negatives, zero, and positiv

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Frequently Asked Questions

What are the important topics in Number System for NIOS Class 10 Maths?
Key topics in Number System include Number System Hierarchy, Complete Number System Overview, Number System Hierarchy. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Number System — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 39 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Number System?
There are 35 flashcards for Number System covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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