Understanding Absolute Value and Addition

Mrs. Lopez teaches 7th graders how to add integers using a number line. The lesson covers modeling addition with vectors, the commutative property, and understanding absolute value. Students learn to represent integer addition without subtraction and explore how the order of numbers doesn't affect the sum. Exercises reinforce these concepts, emphasizing the use of vectors and absolute value on a number line.

What is an integer?

• A decimal

• A whole number or its opposite

• A fraction

• A complex number

How do you represent the addition of 10 and -4 on a number line?

• Move 4 units right, then 10 units left

• Move 4 units left, then 10 units right

• Move 10 units right, then 4 units left

• Move 10 units left, then 4 units right

What is the starting point when modeling addition on a number line?

• At the largest number

• At the midpoint

• At zero

• At the smallest number

When adding -2 and 3 using vectors, where does the second arrow start?

• At -2

• At 1

• At zero

• At 3

What does the commutative property of addition state?

• The sum remains the same regardless of the order

• The sum is always positive

• The sum changes with the order of numbers

• The sum is always zero

What is the absolute value of a number?

• The number itself

• The negative of the number

• The distance from zero on the number line

• The square of the number

How is the absolute value of -10 represented on a number line?

• 10 units above zero

• 10 units from zero

• 10 units to the left

• 10 units to the right

In the expression -6 + 4, where do you start on the number line?

• At 10

• At zero

• At -6

• At 4

What happens to the sum if the order of integers in an addition expression is changed?

• The sum becomes zero

• The sum doubles

• The sum remains unchanged

• The sum becomes negative

How does the diagram change when the order of integers is altered?

• The arrows disappear

• The arrows become longer

• The arrows point in the same direction

• The arrows change direction