1.2 Commutative and Associative Properties
1.3 Identity and Inverse Properties
2.3 Fractions Equal to Whole Numbers
2.4 Converting Mixed and Improper Fractions
2.5 Adding and Subtracting Fractions with Like Denominators
2.6 Adding and Subtracting Fractions with Unlike Denominators
2.9 Understanding Keep, Change, Flip
3.1 Converting Fractions to Decimals
3.2 Converting Decimals to Fractions
3.3 Converting Integers to Decimals and Fractions
3.7 Understanding Proportional Ratios
3.8 Identifying Proportional Ratios
3.9 Comparing Ratios with Rates and Prices
3.11 Converting Percent to Fraction and Decimal
4.1 Operations and Expressions
4.3 Expressions with Addition and Subtraction
4.4 Expressions with Multiplication and Division
4.5 Expressions with Exponents
4.6 Expressions with Decimals and Fractions
4.10 Understanding Distributive Property
4.11 Using the Distributive Property
4.12 Combining Like Terms with Distributive Property
5.2 The Goal of Solving Equations
5.3 Checking the Answer to an Equation
5.4 Solving Equations with Addition and Subtraction
5.5 Solving Equations with Multiplication
5.6 Solving Equations with Division
5.7 Starting a Two-Step Equation
5.8 Solving Two-Step Equations
5.9 Simplifying and Solving Two-Step Equations
5.11 Translating Math Expressions
5.12 Translating Math Equations
5.13 Strategies for Algebraic Word Problems
6.2 Comparing Integers and Decimals
6.4 Graphing Inequalities on Number Lines
6.5 Writing Inequalities from Number Lines
6.6 Translating Inequalities from Word Problems
6.7 Solving Inequalities with Addition and Subtraction
6.8 Solving Inequalities with Multiplication and Division
6.9 Inequalities with Negative Numbers
6.10 Solving Inequalities with Negative Numbers
6.11 One-Step Inequality Word Problems
6.12 Writing Inequalities Different Ways
6.13 Solving Two-Step Inequalities
Math Basics > Unit 4 Expressions > Lesson 4.4 Expressions with Multiplication and Division
Click play to watch the video and answer the questions for points!
Simplify each expression then click on the correct answer.
Next we'll use the order of operations to simplify expressions that have multiplication and division in them. So let's simplify this expression. Ten times nine divided by three and then divided by six. Don't forget order of operations. It's always helpful to jot it down so you can use that as as a reminder. Now, this problem has multiplication and division in it. And multiplication and division are done at the same time. So that means we're going to start left and move right, just like we did with the addition and subtraction. Start left, move to the right. So let's start with the ten times nine gives us 90. Then we move over to divide three. That gives us 30. Then lastly, we'll divide by 6. 30 divided by six will give us five. So five is our final simplified answer. Now we have 50 -27 divided by three. So this time we have subtraction. We also have division. Those are done at two different steps. But first we have the division step to do. Now it's very important to remember the division symbol only applies to the number to the left and right of it, which is the 27 and the three. The 50 doesn't have anything to do with this division step. So when we do 27 divided by three, we get nine. And now we're just going to bring down the 50 and the subtraction sign. We haven't done anything with that quite yet, but now we can. Now we have just the subtraction step left so we can perform that operation. 50 minus nine leaves us with 41, which is our final simplified answer.