Big Ideas Math: Modeling Real Life, Grade 7
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2. Dividing Integers
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Exercise 9 Page 59

When we move to the right on a number line, we represent the addition a positive number. Conversely, movement to the left corresponds to adding a negative number.

Addition expression: - 3+3
Subtraction expression: - 3-(- 3)
Sum/Difference: 0

Practice makes perfect

Let's look at the number line!

We want to write two expressions, an addition expression and a subtraction expression, represented by the number line.

Addition Subtraction
Expression ?+? ?-?
Result ? ?
Now, we can look at the given number line. Let's start by considering the bottom arrow.

Notice that the arrow starts at 0 and ends at - 3. Therefore, the arrow represents - 3. This means that the first addend in our addition expression and the subtrahend in our subtraction expression are equal to - 3.

Addition Subtraction
Expression - 3+? - 3-?
Result ? ?

Next, we can look at the top arrow on the diagram.

Notice that the arrow is 3 unit to the left of - 3. This means that the arrow represents adding 3, or subtracting - 3. Let's complete our expressions!

Addition Subtraction
Expression - 3+3 - 3-( - 3)
Result ? ?

Finally, we can evaluate our expressions. Let's start by performing the addition! - 3+3= 0 The sum of - 3 and 3 is equal to 0. We know that subtract an integer, we add its opposite. This means that the difference of - 3 and - 3 is also equal to 0. We can use this information to complete our table.

Addition Subtraction
Expression - 3+3 - 3-( - 3)
Result 0 0