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This term describes numbers that are less than zero on a number line.
Negative numbers
On a number line, numbers located to the right of other number are always this.
Greater than
This symbol or notation |x| tells us we're looking for this type of distance from 0 on a number line.
Absolute value
What number is special because it's the only number that is its own opposite.
Zero
When comparing -3 and -7, what inequality symbol would go between them.
> (greater than)
When Mercury drops to -15°F and then warms up 8°, what is the final temperature?
-7°F
In the inequality -2 > -6, describe -2's position on the number line compared to -6.
-2 is to the right of -6.
What is the sum of |-10| and |6|?
16
The opposite of -8 is this number, because it's the same distance from zero but on the opposite side.
Positive 8 or (+8)
Order these integers least to greatest. (-4, 2, -1, 0, -6)
-6, -4, -1, 0, 2
Cordez has an initial balance of $75, then deposits $250, followed by a withdrawal of $400. What is the ending balance?
-$75
Keith wants to plot -8 and -9 on the number line. Which statement is true?
a.) Keith should plot -8 to the left of -9 because -8 < -9.
b.) Keith should plot -8 to the left of -9 because -8 > -9.
c.) Keith should plot -9 to the left of -8 because -9 < -8.
d.) Keith should plot -9 to the left of -8 because -9 > -8.
c.) Keith should plot -9 to the left of -8 because -9 < -8.
-125 is less than -75, so the absolute value of -125 has what relationship to the absolute value of -75? Explain why.
It is greater than (|-125|=125 is greater than |-75|=75)
What is the opposite of the opposite of -12.
Hint: -(-(-12)).
-12
Given the five temperatures: -3°C, -8°C, 0°C, -5°C, and -1°C, order them from coldest to warmest.
-8°C, -5°C , -3°C, -1°C, 0°C
If an elevator starts at ground level, goes up 12 floors, descends 5 floors, then another 8 floors, and then ascends 4 floors, what floor does the elevator stop at?
The 3rd floor
The temperature in New York is -2°C. The temperature in Boston is -5°C. Which statement is true?
a.) New York is warmer because -2°C > -5°C.
b.) New York is warmer because -2°C < -5°C.
c.) Boston is warmer because -2°C > -5°C.
d.) Boston is warmer because -2°C < -5°C.
a.) New York is warmer because -2°C > -5°C.
If a submarine is at -300 feet and a fish is at -450 feet, what is the absolute difference in their depths AND which one is closer to sea level?
150 feet difference, and the submarine is closer to sea level
In the expression, "the opposite of the opposite of 6", what is the answer and explain why.
6, because taking the opposite twice cancels out (or -(-6)=6)
Given these five account balances: -$45, -$20, -$60, -$15, and $0, sequence them from most debt to least debt.
-$60, -$45, -$20, -$15, $0
In a game where positive points cancel negative points, a player with scores of -8, +12, -15, and +6, what is the player's final score?
-5 points
The temperatures recorded at four different times on a November day in Fairbanks, Alaska were -7°F, 3°F, -12°F, -2°F. Which inequality correctly compares these four temperatures.
a.) 3°F > -2°F > -12°F > -7°F
b.) -2°F < -12°F < 3°F < -7°F
c.) -7°F > -2°F > 3°F > -12°F
d.) -12°F < -7°F < -2°F < 3°F
d.) -12°F < -7°F < -2°F < 3°F
Provide a correct answer using absolute value notation for the following integers.
41
29
9
|-41| or |41|
|-29| or |29|
|-9| or |9|
When the temperature rises from -15°F to 15°F, what is the total temperature change and explain the relationship between the two temperatures.
30 degrees, and the temperatures are opposites of each other
Order the distances below putting the shortest or least value at the top and the greatest the bottom.
|-10|
The distance on the number line from -5 to -3.
The distance on the number line from -3 to 5.
|-5|
1. The distance on the number line from -5 to -3.
2. |-5|
3. The distance on the number line from -3 to 5.
4. |-10|