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19 multiple-choice questions and 6 flashcards on Positive and Negative Numbers (Integers), about 13% of the 6th Math: The Number System bank. Every one carries a written rationale.
Positive and Negative Numbers (Integers) is one of 6 chapters in CoStudy's 6th Math: The Number System bank, and it holds 19 of the bank's 150 multiple-choice questions — roughly 13% 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.
On a number line, the number 3 is located:
Answer: B — To the right of 0
Positive numbers are right of 0; negatives left. (A), (C), (D) misread.
36 + 24 can be rewritten using the distributive property as:
Answer: C — Both A and B are valid (since both factor out a common factor of 12 or 6)
Both factor out a common factor — 12 is the GCF (cleanest factoring), but 6 also works. (D) multiplies instead.
Temperature drops from 4°F to −6°F. Total drop?
Answer: B — 10°F
B) Drop = 4 − (−6) = 10°F. The drop is a positive distance. A) Subtracted absolute values incorrectly. C) Sign-confused the answer. D) Mixed up the subtraction.
Opposite of −2.5 is:
Answer: C — 2.5
C) Flip the sign. A) Sum of opposites is 0, not the opposite. B) Doubled. D) Same number.
Using the distributive property, 6(4 + 5) =
Answer: C — 6·4 + 6·5 = 24 + 30 = 54
Distribute the 6 over both terms. (A), (B), (D) only partially distribute.
On a number line, −7 is located:
Answer: D — To the left of −5
More negative = further left. (A), (C), (B) misread direction.
On a number line, which value is the LEAST?
Answer: B — −5
B) Numbers further left on the number line are smaller. −5 is the leftmost. A) Greater than −5. C) Greater than any negative. D) Largest of the four.
Which statement about −4 is TRUE?
Answer: B — −4 has a larger magnitude than −2
B) Magnitude (|−4| = 4) is greater than |−2| = 2, but the VALUE is less. A) Confuses magnitude with value. C) Negatives are below 0. D) Negatives are not equal to their opposite.
On a number line, which is the LARGEST value?
Answer: B — −1
B) Closer to zero = larger. Other negatives have larger MAGNITUDES but smaller VALUES. A/C/D) More negative = smaller.
Which inequality is TRUE?
Answer: C — −5 < −3
On the number line, −5 is to the left of −3, so −5 < −3. (A) inverts; (B), (D) misread.
3 cards from the 6 in this chapter.
In real life, where do you see negative numbers?
Temperatures below 0, debts (money owed), elevations below sea level, golf scores below par.
What's the opposite of −7?
7. (The opposite of a negative is a positive.)
What does a negative number represent?
A value LESS than zero. Below zero on a number line, in the opposite direction of positive.
These are a sample. The full Positive and Negative Numbers (Integers) chapter runs 25 items with per-chapter progress tracking, on the web and in the iOS app.
Open 6th Math: The Number System in CoStudy →