- A
- B
- C
- D
Step-by-Step Solution
quarters, and the whole mixed number is negative, so −2 comes from writing the digits 2 and 3 side by side, from ADDING 2 + 3 instead of multiplying, and simply loses the minus sign.
Answer: C)
Express the mixed number −2 as a rational number in the form p/q.
Class 7Rational NumbersRational Numbers
Key idea: Recognising rationals
If you can write a number as **integer over non-zero integer**, it is rational. So:
- All integers are rational: 5 = 5/1, 0 = 0/1, −9 = −9/1.
- All fractions with integer numerator and denominator are rational: 3/4, −2/7, 11/3.
- Any decimal that terminates or repeats is rational: 0.25 = 1/4, 0.333… = 1/3.
Numbers that cannot be written as p/q (like √2 or π) are NOT rational — they're irrational. You'll meet those in Class 9.
- All integers are rational: 5 = 5/1, 0 = 0/1, −9 = −9/1.
- All fractions with integer numerator and denominator are rational: 3/4, −2/7, 11/3.
- Any decimal that terminates or repeats is rational: 0.25 = 1/4, 0.333… = 1/3.
Numbers that cannot be written as p/q (like √2 or π) are NOT rational — they're irrational. You'll meet those in Class 9.
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More Class 7 Rational Numbers practice
A rational number p/q turns out to be NEGATIVE. What must be true about p and q?How many of these four numbers are NEGATIVE rational numbers? -3/-8, 4/-9, -7/2, 0/5Ravi simplifies -24/-30 and writes the answer as -4/-5. What is wrong with his answer?Which of these rational numbers is ALREADY in standard form?The standard form of -42/56 is p/q. What is the value of p + q?