Mastering Addition of Integers with Different Signs

The video tutorial explains how to add integers with different signs. It begins with a review of what integers are, followed by a demonstration of using counters to visualize integer addition. The tutorial introduces a rule for adding integers with different signs: subtract the numbers and keep the sign of the larger number. Several examples are provided to illustrate the application of this rule, with analogies to money to aid understanding.

What are integers?

• Any positive or negative whole number

• Any fraction

• Any positive number only

• Any decimal number

Which of the following is an example of an integer?

• 1/2

• 3.5

• 0.75

• -2

What is the result of adding -5 and 2 using counters?

• -1

• 3

• -3

• 1

When using counters, what happens when a positive and a negative counter are paired together?

• They add up

• They cancel each other out

• They multiply

• They remain unchanged

What is the rule for adding integers with different signs?

• Add the numbers and keep the sign of the smaller number

• Subtract the numbers and keep the sign of the larger number

• Multiply the numbers and keep the sign of the larger number

• Divide the numbers and keep the sign of the smaller number

Using the rule, what is the result of -10 + 25?

• -15

• 15

• -35

• 35

If you have 10 and you want to buy something that costs 32, what is your balance?

• 22

• -42

• -22

• 42

What is the result of 10 + (-32) using the rule for adding integers with different signs?

• -22

• 22

• 42

• -42

What is the result of -40 + 18?

• 22

• -22

• -58

• 58

When adding integers with different signs, what should you do first?

• Multiply the numbers

• Add the numbers

• Subtract the numbers

• Divide the numbers