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31 multiple-choice questions and 11 flashcards on Decimal Form of Rational Numbers (Terminating and Repeating), about 21% of the 7th Math: The Number System bank. Every one carries a written rationale.
Decimal Form of Rational Numbers (Terminating and Repeating) is one of 4 chapters in CoStudy's 7th Math: The Number System bank, and it holds 31 of the bank's 150 multiple-choice questions — roughly 21% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
10 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
Why does 1/6 repeat as a decimal?
Answer: A — 6 has prime factor 3 (besides 2)
A) Denominators with primes other than 2 and 5 produce repeating decimals. B/C/D) Irrelevant or wrong.
Which fraction terminates as a decimal?
Answer: C — 5/16
C) 16 = 2^4 → terminates. A/B/D) Denominators have other prime factors.
Which decimal best represents 1/3?
Answer: C — 0.333... (repeating; 0.3 with a bar over the 3)
1/3 is a repeating decimal. (A), (B), (D) are approximations.
Evaluate (1/2) − (3/4) + (1/4).
Answer: A — 0
2/4 − 3/4 + 1/4 = 0. (B), (C), (D) miscalculate.
Convert 4/9 to a decimal:
Answer: C — 0.444… (repeating)
C) 4 ÷ 9 = 0.4 repeating. A/B) Truncated. D) Wrong.
Which decimal is rational?
Answer: C — Same as A — repeating decimals are rational (= 1/3)
All repeating/terminating decimals are rational. (B), (D) are irrational.
Which inequality is TRUE?
Answer: D — −5 < −3 — on the number line, −5 is left of −3
Number line order. (A) inverts; (C), (B) misread.
Convert 11/20 to a decimal:
Answer: D — 0.55
D) 11/20 = 55/100 = 0.55. B) 9/20. A/C) Misread.
What is the product (−1)(−1)(−1)(−1)?
Answer: A — 1
Even number of negatives → positive. (B), (C), (D) misread.
A terminating decimal like 0.25 equals which fraction?
Answer: C — 1/4
C) 0.25 = 25/100 = 1/4. A) That's 0.20. B) Equals 2.5. D) Whole number.
4 cards from the 11 in this chapter.
Convert 1/3 to a decimal.
0.333... (repeats).
Convert 2/3 to a decimal.
0.666... (repeats).
What is a 'terminating decimal'?
A decimal that ends. Like 0.5, 0.25, 0.875.
How do you write 0.333... using bar notation?
0.3̄ (a bar over the 3 means it repeats).
These are a sample. The full Decimal Form of Rational Numbers (Terminating and Repeating) chapter runs 42 items with per-chapter progress tracking, on the web and in the iOS app.
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