12 multiple-choice questions, progressively harder.
Which symbol makes a true statement: −12 □ −7-12 \;\square\; -7−12□−7?
Solution
Correct answer: B
Compare by position. The point −12-12−12 lies twelve steps left of zero and −7-7−7 lies seven steps left, so −12-12−12 is farther left and therefore smaller.
−12<−7-12 < -7−12<−7
Which of these negative numbers is the greatest?
Among negatives, the greatest is the one closest to zero, that is, farthest to the right.
−100<−50<−7<−1-100 < -50 < -7 < -1−100<−50<−7<−1
So −1-1−1 is the greatest of the four.
An elevation of −30-30−30 meters and an elevation of −45-45−45 meters are recorded. Which is lower?
Correct answer: A
Lower means farther below sea level, which is farther left on the line and so the smaller number.
−45<−30-45 < -30−45<−30
So the elevation −45-45−45 meters is the lower of the two.
Which symbol makes a true statement: −1 □ −10-1 \;\square\; -10−1□−10?
Correct answer: D
The point −1-1−1 is closer to zero than −10-10−10, so it sits farther to the right and is the greater number.
−1>−10-1 > -10−1>−10
Order from greatest to least: −2, −8, −5, −1-2,\; -8,\; -5,\; -1−2,−8,−5,−1.
Greatest to least reads right to left on the line, so the value closest to zero comes first.
−1>−2>−5>−8-1 > -2 > -5 > -8−1>−2>−5>−8
Which symbol makes a true statement: 0 □ −30 \;\square\; -30□−3?
Correct answer: C
Zero lies to the right of every negative number, so zero is the greater value.
0>−30 > -30>−3
A submarine sits at a depth recorded as −200-200−200 meters and a diver is at −40-40−40 meters. Which statement is true?
The submarine at −200-200−200 is farther below sea level, hence farther left on the line and the smaller number.
−200<−40-200 < -40−200<−40
So the submarine is deeper than the diver.
Which of these numbers is the least?
The least number is the one farthest to the left. The negatives beat 000 and 333, and between them −30-30−30 is far more negative than −3-3−3.
−30<−3<0<3-30 < -3 < 0 < 3−30<−3<0<3
So −30-30−30 is the least.
Which symbol makes a true statement: −20 □ −2-20 \;\square\; -2−20□−2?
The point −20-20−20 is farther left than −2-2−2, so it is the smaller value.
−20<−2-20 < -2−20<−2
Order from least to greatest: 4, −4, 1, −14,\; -4,\; 1,\; -14,−4,1,−1.
Least to greatest reads left to right on the line, so the negatives lead and the most negative comes first.
−4<−1<1<4-4 < -1 < 1 < 4−4<−1<1<4
Which statement about −3-3−3 and −7-7−7 is correct?
Among negatives, the number closer to zero sits farther right and is therefore greater. The point −3-3−3 is closer to zero than −7-7−7.
−3>−7-3 > -7−3>−7
Which symbol makes a true statement: −6 □ 6-6 \;\square\; 6−6□6?
A negative number lies to the left of its positive opposite, so it is the smaller value.
−6<6-6 < 6−6<6
Reset this practice set?
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