Gujarat Board Class 9 Mathematics — Flashcards for Quick Revision

A: Step 1: Recall that any integer can be written as a rational number by placing it over 1. Step 2: Write -25 = -25/1 Answer: -25/1 (where p = -25, q = 1, and q ≠ 0) Verification: -25 ÷ 1 = -25 ✓

A: Method: Write 1 and 2 with denominator 6 → 6/6 and 12/6 Step 1: 1 = 6/6 and 2 = 12/6 Step 2: Numbers between 6/6 and 12/6 are: 7/6, 8/6, 9/6, 10/6, 11/6 Step 3: Simplify if needed: 7/6, 4/3, 3/2, 5/3,

A: Answer: Yes, 1/3 is a rational number. Justification: By definition, a number is rational if it can be written as p/q where p and q are integers and q ≠ 0. For 1/3: p = 1 (integer), q = 3 (integer), a

A: Yes, it is a polynomial. Reason: It contains variables with non-negative integer exponents (x² has exponent 2, x has exponent 1, and 5 is a constant with x⁰). All terms have coefficients and constants

A: No, it is NOT a polynomial. Reason: The term -3/x can be written as -3x⁻¹. Since the exponent of x is -1 (a negative integer, not a whole number), this expression does not qualify as a polynomial. Pol

A: Step 1: Identify all terms: 7x⁵, -3x³, 2x, -8. Step 2: Find the exponents: 5, 3, 1, 0. Step 3: The highest exponent is 5. Step 4: The degree of the polynomial is 5. Answer: 5