Number System — Flashcards
NIOS · Class 10 · Maths
35 flashcards for Number System (NIOS Class 10 Maths) to test yourself on key terms and facts. Sample: "Solve: 2 - 6 in the natural number system."
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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 …
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.
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…
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.
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.
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.
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…
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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