Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the addition of integers, focusing on identifying patterns and developing rules to simplify the process. It explains how to add integers with the same sign, resulting in a sum with the same sign, and how to add integers with different signs by subtracting their absolute values and keeping the sign of the number with the larger absolute value.

Why is it important to understand the patterns and rules for adding integers?

• To solve multiplication problems

• To impress friends

• To make math more fun

• To avoid using chips or number lines every time

What is the result of adding two positive integers?

• Zero

• It depends on the integers

• A positive integer

• A negative integer

What is the result of adding -5 and -4?

• -9

• 9

• -1

• 1

What is the first step in adding two integers with the same sign?

• Subtract the absolute values

• Divide the integers

• Add the absolute values

• Multiply the integers

When adding integers with different signs, what should you do after subtracting the absolute values?

• Change the sign to negative

• Keep the sign of the larger number

• Keep the sign of the smaller number

• Change the sign to positive

What is the result of adding 7 and -5?

• -2

• 12

• 2

• -12

If you have more negative numbers than positive numbers, what will be the sign of the result?

• Zero

• Positive

• Negative

• It depends on the numbers

What is the result of adding -7 and 13?

• 20

• 6

• -20

• -6

What is the result of adding 16 and -16?

• 16

• 0

• -32

• 32

What is the result of adding -11 and 11?

• 22

• -22

• 0

• 11