Integers
The integer that represents the following statement: "15 yard loss"
-15
Compare 8 and 6
8 > 6
12 + 4
16
10 - 5
5
Whole numbers and their opposites.
integers
Why is this incorrect? (-2) - (2) = 0
The numbers were subtracted without taking the negative into account. The answer is (-4)
The sum of two negative integers is always positive.
False because...you are to the left of zero and go more negative.
The opposite of 5
-5
Compare -1 and -4.
-1 > -4
-3 + (-5)
-8
5 - 10
-5
Numbers greater than zero
positive integers
Why is this incorrect? (63) - (-13) = 50
the numbers were subtract as if not (-13). Answer should be 76
An integer and the absolute value of that integer are always opposites.
False because...
6 and the absolute value of 6 are not opposites
Only sometimes true if negative signs are used in the problem
|-42|
42
Order from greatest to least: -4, -2, 3
3, -2, -4
1 + (-11)
-10
4 - (-6) =
10
The numbers left of zero on a number line.
negative integers
Why is this incorrect? To model 3 - 7, you draw 10 purple dots.
You should:
draw 3 positives for the 3
add some zero pairs, then
take away 7 positives
have 4 red (negative) dots
The sum of 2 positive integers is always positive.
True, because we start positive and move more in the positive direction.
The integers that come just before and just after -7.
-6 and -8
Order from least to greatest: 0, -2, 4
-2, 0, 4
13 + (-6)
7
-6 - (-8)
2
This number is neither positive or negative.
0
Why is this incorrect? You cannot use a number line to show subtraction of integers with different signs
You can use a number line to show all operations with integers.
Subtracting integers is like adding the opposite signed integer
True because...
The integer that represents the following: "my friend venmo'd me $25"
+ $25
Order for from greatest to least: -7, 0, -3, 2
2, 0, -3, -7
I have $10 in my wallet and was just paid $20 to pet sit my neighbor's cat. How much money do I have now?
$10 + $20 = $30
I have $20 and owe my friend $25 for homecoming tickets. Do I have enough money to pay her back? If not, how much will I owe her?
No. I will owe her $20 - $25 = $5.
What is Absolute Value? Give an example.
The distance from zero of both positive and negative number pairs. For instance the absolute value of 1 and -1 is 1.
Why is this incorrect? The absolute value of 4 is (-4)
Absolute value of 4 is 4 since the 4 is 4 units away from zero
Integers include decimals and fractions.
False. Integers are defined as whole numbers and their equivalent negative integers
The integer that represents 500 feet below sea level.
-500
Order from least to greatest: -1, 4, -2, 0, 5
-2, -1, 0, 4, 5
The floor of the shallow end to swimming pool is 3 ft below the surface. The deep end's floor is 9 feet deeper than the shallow end. Depth of deep end is....
(-3) + (-9) = -12 feet
The Bengals were at 50 yard line, but were penalized 15 yards for a foul. On what yard line will the next play begin?
50 - 15 = 35 yard line
What are Whole Numbers?
0 and all positive integers
Why is this incorrect? 5 - (-5) = 0
5 - (-5) = 5 + 5 = 10
Subtracting a negative number is the same as adding a positive number. Use an example.
True. One example is 4 - (-4) = 4 + 4 = 8