Adding Integers with Different Signs Explained

This video tutorial covers the concept of integers, focusing on adding integers with different signs. It explains the use of additive inverses and zero pairs, and demonstrates how to find the sum using a number line. The tutorial also introduces the use of green and red counters as a visual aid to simplify the addition process. Several examples are provided to reinforce the concepts, and the video concludes with tips on note-taking and understanding integer rules.

What is an integer?

• A number that can be a fraction or decimal

• Only positive whole numbers

• Any number on a number line

• A whole number or its opposite on a number line

What does a zero pair consist of?

• One positive and one negative integer that sum to zero

• Two negative integers

• Two positive integers

• Two integers that sum to one

How do you find the sum of integers with different signs using a number line?

• Always move towards the positive side

• Start at the first integer and move towards the second integer's sign

• Count backwards from the larger integer

• Start at zero and move towards the larger number

What is the result of adding +6 and -9 using the absolute value method?

• -3

• -15

• +15

• +3

What does the absolute value method involve?

• Adding the values directly

• Subtracting the smaller absolute value from the larger

• Multiplying the absolute values

• Finding the quotient of the absolute values

How do green and red counters help in adding integers?

• They cancel each other out to simplify multiplication

• They represent different signs and help visualize the addition

• They are used to divide integers

• They increase the value of integers

What happens when you add +3 and -2 using counters?

• Result is zero

• Result is +5

• Result is -1

• Result is +1

What is the result of adding -5 and +9?

• +4

• -4

• -14

• +14

What is the result of adding -79 and +79?

• +79

• -158

• 0

• +158

What is the result of adding +5 and -100?

• -95

• +95

• 0

• +105