Adding Integers and Rational Numbers

The video tutorial covers the addition of integers and rational numbers, focusing on using number lines and vectors to visualize the process. It includes examples of adding positive and negative integers, as well as integers with opposite signs. The tutorial also provides exercises for practice and explains the rules for adding integers with the same and opposite signs.

What is the absolute value of -15?

• 0

• 30

• 15

• -15

If you have three cards with a sum of -15 and draw a card of -5, what is the new sum?

• -15

• -10

• -20

• 0

What is the result of adding two positive integers?

• A smaller positive number

• A negative number

• A greater positive number

• Zero

When adding -3 and -5 on a number line, what is the resulting sum?

• -8

• 8

• 0

• -2

How do you determine the direction of the sum when adding integers with opposite signs?

• It always points left

• It always points right

• It follows the direction of the larger number

• It follows the direction of the smaller number

What is the sum of 5 and -3?

• 2

• -2

• 8

• -8

In the example of 4 plus -7, what is the length of the resulting arrow?

• 11

• 1

• 7

• 3

What is the sum of -18 and 7?

• -11

• 11

• -25

• 25

When adding rational numbers, which rule is applied?

• Add the absolute values

• Use the sign of the larger number

• Subtract the absolute values

• Use the sign of the smaller number

What is the sum of -3 and -8?

• -11

• 11

• 5

• -5