1.1 Integers and Rational Numbers

www.ck12.org Chapter 1. Arithmetic ReviewIn this example, we can see that we have four things to look at.We have 1 set of parentheses, addition, subtraction in the parentheses and multiplication.We can evaluate this expression using the order of operations.Example2 + (3 − 1) × 22 + 2 × 22 + 4= 6Our answer is 6.What about when we have parentheses and exponents?Example35 + 3 2 − (3 × 2) × 7We start by using the order of operations. It says we evaluate parentheses first.Next, we evaluate exponents3 × 2 = 635 + 3 2 − 6 × 73 2 = 3 × 3 = 935 + 9 − 6 × 7Next, we complete multiplication or division in order from left to right. We have multiplication.6 × 7 = 4235 + 9 − 42Next, we complete addition and/or subtraction in order from left to right.Our answer is 2.35 + 9 = 4444 − 42 = 2Now, consider the expression 8 + (5)(4)−(6 +10 ÷2)+44. Simply using order of operations. Then watch the video explanation for this problem.25