Table of Contents
- 1 How do you solve unlike signs?
- 2 When I add two integers with opposite signs the sum is?
- 3 How is subtracting integers like adding integers?
- 4 What are the 2 rules in adding integers?
- 5 What is the rule for multiplying integers with same signs?
- 6 How do you multiply integers with different signs?
- 7 Are integers always positive numbers?
How do you solve unlike signs?
What does it mean?
- Same Sign – Add the absolute values and give the answer the same sign.
- Different Signs – Subtract the smaller absolute value from the larger absolute value and give the answer the same sign as the number with the larger absolute value.
When I add two integers with opposite signs the sum is?
Add their absolute values and keep the sign. For example, say you want to add -5 and -7. Start with with 5+7 = 12. Since both are negative, the answer will also be negative so you get a sum of -12.
What are the rules for addition of integers?
Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
How is subtracting integers like adding integers?
Adding integers means adding integers with the same signs, while subtracting integers means adding the integers of opposite signs.
What are the 2 rules in adding integers?
Rules for Adding Integers
| Rule | Examples | |
|---|---|---|
| Addition of two positive numbers | (+a)+(+b) = (a+b) | 3+4=7 2+11=13 |
| Addition of a positive number and a negative number | (a+(-b)) = (a-b) | 4+(-5)=(-1) (-5)+7=2 |
| Addition of two negative numbers | (-a)+(-b) = -(a+b) | (-2)+(-4)=(-6) (-5)+(-8)=(-13) |
What is the formula for adding integers?
Addition of Integers
| Type of Numbers | Operation | Example |
|---|---|---|
| Positive + Positive | Add | 10 + 15 = 25 |
| Negative + Negative | Add | (-10) + (-15) = -25 |
| Positive + Negative* | Subtract | (-10) + 15 =5 |
| Negative + Positive* | Subtract | 10 + (-15)= -5 |
What is the rule for multiplying integers with same signs?
Multiplying integers and dividing integers share the same rules. When you multiply or divide integers that have the same sign, the answer is positive. When you multiply or divide integers that have different signs, the answer is negative.
How do you multiply integers with different signs?
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
How do you add integers in a number line?
To add integers, place the first number on the number line. Look at what the second number is (positive = a puff of air; negative = a sandbag). Move along the number line the number of spaces as shown by the second number.
Are integers always positive numbers?
Positive and negative numbers are all integers. Integers are whole numbers that are either greater than zero (positive) or less than zero (negative). For every positive integer, there’s a negative integer, called an additive inverse, that is an equal distance from zero.