Adding Integers and Their Properties

This video tutorial covers the formal rules for adding integers, explaining how to handle integers with the same or different signs. It begins with a review of what integers are, followed by a detailed explanation of the rules for adding integers. The video provides several examples to illustrate these rules, including both integers with the same sign and those with different signs. The tutorial concludes with additional resources for further learning, such as using a number line or money analogy to understand integer addition.

What is an integer?

• A number without a fractional or decimal component

• A number with a decimal component

• A number with a fractional component

• A number that is always positive

What should you do when adding two integers with the same sign?

• Subtract the larger absolute value from the smaller

• Subtract their absolute values

• Add their absolute values and keep the sign

• Add their absolute values and change the sign

When adding integers with different signs, what determines the sign of the result?

• The sign of the smaller absolute value

• The sign of the larger absolute value

• The sign of the first integer

• The sign of the second integer

In the example of -5 + 6, what is the result?

• -1

• 11

• 1

• -11

In the example of -8 + -3, what is the result?

• -11

• 11

• -5

• 5

What is the result of adding -25 and 63?

• -38

• 38

• -88

• 88

What is the result of adding -31 and -84?

• 53

• -115

• 115

• -53

In the example of 15 + -47, what is the result?

• -32

• 32

• -62

• 62

What is a suggested method to add integers if the formal rules seem difficult?

• Using a protractor

• Using a ruler

• Using a number line

• Using a calculator

What is another analogy mentioned for adding integers?

• Using a calendar

• Using a money analogy

• Using a clock

• Using a map