Understanding Number Lines and Sums

In this lesson, Mr. Hul explains the addition of integers using number lines. The video covers the definition of integers, examples of adding integers, and the concept of distance and absolute value. It also explores horizontal and vertical number lines and includes exercises on creating number line models and arrow diagrams.

What is an integer?

• A number that is always positive

• A positive or negative number that is not a decimal or fraction

• A number that is always negative

• A number that can be a decimal or fraction

When adding two positive integers on a number line, in which direction do you move?

• Down

• Up

• Right

• Left

What is the absolute value of a number?

• The number itself

• The sum of the number and zero

• The negative of the number

• The distance from zero on a number line

If you add a negative integer to a positive integer, what happens to the position on the number line?

• It stays the same

• It moves to the right

• It moves to the left

• It moves up

On a vertical number line, which direction is considered positive?

• Left

• Right

• Down

• Up

How do you determine if a sum is to the right or left of a number on a horizontal number line?

• By checking if the sum is positive or negative

• By checking if the sum is greater or less than the starting number

• By checking the absolute value of the sum

• By checking the distance from zero

In the expression 54 + 81, how far is 54 from the sum?

• 54 units

• 81 units

• 135 units

• 27 units

What is the distance between 14 and the sum of 4 + (-3)?

• 1 unit

• 3 units

• 4 units

• 7 units

When creating a number line model, where do you start?

• At zero

• At the first number

• At the sum

• At the last number

In the exercise of writing equations, what does 'the sum of six and a number is 15 units to the left of six' imply?

• The sum is -9

• The sum is 15

• The sum is 6

• The sum is 21