SUBTRACTING REAL NUMBERS Section 2.3
30 30 The example above shows us that subtraction can be thought of as Simplify each expression. 30 30 The example above shows us that subtraction can be thought of as “_____________________________________”. adding the opposite For all real numbers a and b: ___________________
Example 1: Write the following subtraction problems as addition problems do not evaluate.
Example 2: Use algebra tiles to represent Algebra tiles can be used to subtract integers. Remember integers are Example 2: Use algebra tiles to represent 1. rewrite as an addition problem: ____________ 2. use algebra tiles to represent the addition problem 3. cross out any neutral pairs.
Use the definition of subtraction to find each difference. Example 3: Use the definition of subtraction to find each difference. A. B. 7 D. C.
Try these… A. B. D. C.
Subtract in either order still come up with the same answer! To find the ____________ between two numbers on a number line, first ______________ the values, and then find the __________________ of the difference. distance subtract absolute value Example 4: Find the distance between -4 and 2. Subtract in either order still come up with the same answer!
Find the distance between the following pairs of numbers. A. -5 and 3 B. -4 and -10 C. 17 and -5 A. B. C.
Try these… D. -2 and 13 E. 3 and -6 F.