NIOS Class 10 Maths — Flashcards for Quick Revision

A: 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

A: 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.

A: 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

A: Step 1: Count how many times 7 is multiplied by itself. Step 2: 7 is multiplied 4 times, so the exponential form is 7^4. Step 3: Base = 7 and exponent = 4. Answer: 7^4, base 7, exponent 4.

A: Step 1: Expand the power. (2/7)^3 = (2/7) × (2/7) × (2/7) Step 2: Multiply numerators and denominators separately. = (2 × 2 × 2)/(7 × 7 × 7) Step 3: Simplify. = 8/343 Answer: 8/343.

A: Step 1: Use the reciprocal rule. The reciprocal of (p/q)^m is (q/p)^m. Step 2: Reverse the fraction. Reciprocal of (3/5)^4 = (5/3)^4 Step 3: Check by expanding if needed. (3/5)^4 × (5/3)^4 = 1 Answer:

A: Step 1: Substitute x = 1/2 1 - (1/2)^5 + 2(1/2)^6 + 7(1/2) Step 2: Simplify powers = 1 - 1/32 + 2/64 + 7/2 = 1 - 1/32 + 1/32 + 7/2 Step 3: Cancel the middle terms = 1 + 7/2 = 9/2 Answer: 9/2 or 4 1

A: Step 1: Substitute x = 1 5(1)^3 + 3(1)^2 - 4(1) - 4 Step 2: Simplify = 5 + 3 - 4 - 4 = 0 Answer: 0

A: Step 1: Substitute x = -1 (-1)^3 + 3(-1)^2 + 3(-1) + 2 Step 2: Simplify = -1 + 3 - 3 + 2 = 1 Step 3: Compare with 0 1 is not 0 Answer: x = -1 is not a zero of the polynomial.