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Course: 7th grade (Eureka Math/EngageNY) > Unit 2
Lesson 1: Topic A: Addition and subtraction of integers and rational numbers- Zero pairs worked example
- Zero pairs
- Adding with integer chips
- Add with integer chips
- Adding negative numbers on the number line
- Adding negative numbers on the number line
- Adding negative numbers example
- Signs of sums on a number line
- Signs of sums
- Adding negative numbers
- Subtracting with integer chips
- Subtract with integer chips
- Adding the opposite with integer chips
- Adding the opposite with number lines
- Adding & subtracting negative numbers
- Subtracting a negative = adding a positive
- Understand subtraction as adding the opposite
- Subtracting negative numbers
- Adding & subtracting negative numbers
- Adding negative numbers review
- Equivalent expressions with negative numbers
- Subtracting negative numbers review
- Number equations & number lines
- Number equations & number lines
- Graphing negative number addition and subtraction expressions
- Interpret negative number addition and subtraction expressions
- Interpreting numeric expressions example
- Absolute value to find distance
- Absolute value as distance between numbers
- Interpreting absolute value as distance
- Absolute value to find distance challenge
- Associative and commutative properties of addition with negatives
- Commutative and associative properties of addition with integers
- Equivalent expressions with negative numbers
- Adding fractions with different signs
- Adding and subtracting fractions with negatives
- Comparing rational numbers
- Adding & subtracting negative fractions
- Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
- Order rational numbers
- Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
- Adding & subtracting rational numbers
- One-step equations with negatives (add & subtract)
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Subtracting negative numbers review
Review the basic of subtracting negative numbers and try some practice problems.
Subtracting negative numbers
Subtracting a number is the same as adding the opposite of the number.
Let's look at two examples:
Note: In both examples, we change subtraction to addition and changed the sign of the second number to the opposite sign.
Want to know why this works? Check out this video.
Once we have an addition problem, we can solve.
Example 1: negative negative
Lets subtract .
Step 1: Rewrite as an addition problem
Step 2: Start at the first number in the addition problem, in this case :
Step 3: Move places to the right. We move to the right because adding positive increases our number by .
Example 2: negative positive
Lets subtract .
Step 1: Rewrite as an addition problem
Step 2: Start at the first number in the addition problem, in this case :
Step 3: Move places to the left. We move to the left because adding negative decreases our number by .
Want to learn more about subtracting negative numbers? Check out this video.
Want to join the conversation?
- why does it say subtract when you have to add(289 votes)
- Because two negatives equal a positive in a subtraction when it's next to each other. 3-(-6)=9=3+6=9(133 votes)
- Negative minus a positive is a negative?(79 votes)
- Yes, subtracting a positive always makes the number smaller.(66 votes)
- So basically 2 negatives make a positive?(63 votes)
- You could be mistaking this for a multiplication problem. negative * negative = positive but in addition negative + negative = negative.(18 votes)
- So, correct me anyone if I'm wrong. So let's say I have
-4-(-4), wouldn't equal 0? Because instead of me subrtracting with -4, I have to add it. So, would it be 0 instead of -8?(38 votes)- Yes that is correct.(14 votes)
- why do you need votes?(23 votes)
- It's
1. So people don't repeat posts, instead upvoting them, letting people know that they agree.
2. It helps with a few badges in Khan Academy(18 votes)
- I am confused that 8 - (-2) means you add up. IS that count Mr.Khan?(18 votes)
- Because when you do a subtraction problem with a positive taken away, you go down. 8 - 2 = 6 When that's negative, you have the opposite, so you go up. 8 - ( - 2 ) = 10 You still might wonder why it isn't - 10, but I can answer it. Subtraction and addition like this stuff are never gonna give you negative.(13 votes)
- so two negatives make a positive(8 votes)
- It depends on the operation.
Adding two negatives always makes a negative.
Subtracting two negatives could make zero, a negative, or a positive depending on how the two negatives compare to each other.
Multiplying or dividing two negatives always makes a positive.(9 votes)
- I don't get why they are swiching the signs telling me to add when I have to subtract. I just don't understand at all.(11 votes)
- Another way to think of a negative sign is as an OPPOSITE sign. So when you are subtracting a negative, it's really telling you to do the opposite of subtracting, which ends up being adding.
Another way some people might look at it is to think of someone telling you that you no longer owe them any money you borrowed. By taking away your debt (subtracting a negative), they have given you a gift (adding a positive).(26 votes)
- how do you add a negative and a negative together(16 votes)
- for example, if it's -2 + -2, remove the negative signs, now it's 2+2. 2+2 = 4. Now add the negative sign back. Now it's -4.(1 vote)
- This is very confusing.(16 votes)