Perform multiple operations with whole numbers

Learning Objectives Use the order of operations to solve multi-step word problems involving ratios. Calculate the percent of a number by first converting the percent to a fraction and then multiplying. Solve for a missing value in a proportion using multiplication and division. Apply multiple operations to find a new total after a percent increase or decrease. Interpret a word problem to set up a mathematical expression with at least three operations that involves ratios or percents. Compare two different ratios by finding a common value, which involves multiple steps. Ever seen a '25% off' sign and wondered how much you'd save on two items? 🛍️ That's using multiple operations with percents! In this lesson, you'll learn how to use your skills with a...

TermDefinitionExample RatioA comparison of two quantities. It can be written with a colon (3:4), as a fraction (3/4), or with the word 'to' (3 to 4).In a fruit basket with 5 apples and 6 oranges, the ratio of apples to oranges is 5:6. PercentA special ratio that compares a number to 100. The word 'percent' means 'per hundred'.30% means 30 out of 100, or 30/100. On a test with 100 questions, getting 92 correct is a score of 92%. ProportionAn equation stating that two ratios are equal. Proportions are used to scale ratios up or down.The ratios 2:4 and 4:8 form a proportion because they both simplify to 1:2. We can write this as 2/4 = 4/8. Order of OperationsThe set of rules that tells you the order in which to perform operations in a mathematical expression to...

Order of Operations (PEMDAS) (Parentheses) → Exponents → Multiplication and Division (from left to right) → Addition and Subtraction (from left to right) Use this rule to solve any expression with more than one operation. It ensures everyone gets the same correct answer. For Grade 5, we mainly focus on Parentheses, Multiplication, Division, Addition, and Subtraction. Percent of a Number Formula Part = Whole × (Percent / 100) To find a percentage of a whole number, you first convert the percent to a fraction over 100. Then, you multiply that fraction by the whole number. Solving Proportions Rule If a/b = c/d, then a × d = b × c When you have a proportion with one missing number, you can use cross-multiplication. A simpler way for whole numbers is to find what number y...