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
l-6l and -l7l
l-6l > -l7l
1 + (-11)
-10
-9 - 0
-9
A pair that has one positive and one negative
zero pair
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
Adding or subtracting rational numbers is not done in math
False because...all rational numbers can be converted to fractions and fractions can be added and/or subtracted.
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
Identify 2.1234...
Non-terminating, repeating decimal, rational number
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 whole numbers left of zero on a number line.
Negative integers
Order for from greatest to least: -7, 0, -3, 2
2, 0, -3, -7
Subtracting the digits and keeping the sign of the number that is the greatest is how to do what operation?
How to add integers with different signs like (9) + (-1)
9-1 = 8 and 9 is greater than 1 so positive
4 - (-6)
10
Adding the opposite is a strategy of...?
A strategy to subtracting integers like 7 - 10 is like 7 + (10)
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
Modeling integers proves the rules
True because...
This is neither positive nor negative.
zero
l-1l, 4, -l-2l, 0, 3, -5 from greatest to least
4, 3, 1, 0, -2, -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. Depth of deep end is....
(-3) + (-9) = -12 feet
Two different values can make this equation true: (x) - (y) = -1
[various answers possible] x is positive and one less than the positive y
Any number that can be written as a fraction
Rational number
Why is this incorrect? 0.6666... or 0.67
Unless directed to, do not round repeating decimals. Rounding make the decimal a terminating decimal when the number is not. Just represent with the bar or make into a fraction.
The shortcut to (-6) - (-16) is keep, change, change
True because...