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24 multiple-choice questions and 11 flashcards on Rational Numbers on the Number Line, about 16% of the 6th Math: The Number System bank. Every one carries a written rationale.
Rational Numbers on the Number Line is one of 6 chapters in CoStudy's 6th Math: The Number System bank, and it holds 24 of the bank's 150 multiple-choice questions — roughly 16% 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.
3 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.
|−4| compared to |3| is:
Answer: B — Larger — |−4| = 4 > 3 = |3|
Absolute value strips signs. (A), (C), (D) misread.
A debt of $45 in absolute value is:
Answer: B — $45
B) |−45| = 45. The size of the debt, not its sign. A) That is the signed balance. C/D) Not the distance from 0.
What is the distance between (−3, 4) and (5, 4)?
Answer: D — 8
Same y, distance = |5 − (−3)| = 8. (A), (C), (B) miscalculate.
4 cards from the 11 in this chapter.
If temperature A = −5°F and temperature B = −12°F, which is colder?
B (−12°F is colder than −5°F).
Is −2/3 rational?
Yes — negative fractions are rational too.
What is a 'rational number'?
Any number that can be written as a fraction (a/b where a and b are integers, b ≠ 0). Includes integers, fractions, decimals.
Worked example: Order from least to greatest: −3, 2, −7, 0, −1.
Step 1: Picture the number line — values to the LEFT are smaller. Step 2: Sort the negatives by magnitude (most negative first): −7 (furthest left), then −3, then −1. Step 3: Then 0. Step 4: Then the positive: 2. Step 5: Combine in order: −7 < −3 < −1 < 0 < 2. Answer: −7, −3, −1, 0, 2.
These are a sample. The full Rational Numbers on the Number Line chapter runs 35 items with per-chapter progress tracking, on the web and in the iOS app.
Open 6th Math: The Number System in CoStudy →