Problem 361 Divide. Then check by multiplyin... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 361

Divide. Then check by multiplying. $$\frac{27}{3}$$

Short Answer

Expert verified

The quotient is 9.

Step by step solution

Understand the Division

The given problem asks to divide 27 by 3. This can be written as \ \ \ $ \frac{27}{3} $.

Perform the Division

Divide 27 by 3. This can be calculated as: \ $ 27 \div 3 = 9 $.

Check by Multiplying

Multiply the result (9) by the divisor (3) to ensure the quotient is correct: \ $ 9 \times 3 = 27 $. This confirms that the division was performed correctly since the product matches the original dividend.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Basic Arithmetic

Basic arithmetic is the foundation of mathematics. It involves basic operations like addition, subtraction, multiplication, and division. In this exercise, we focus on division, one of the four fundamental arithmetic operations. Division allows us to determine how many times one number (the divisor) is contained within another number (the dividend). For example, $ \frac{27}{3} $ asks us to find how many times 3 fits into 27.
By understanding basic arithmetic, students can build the confidence needed to tackle more complex mathematical concepts in the future.

Multiplication Check

After performing a division, it's always a good idea to check your work with multiplication. This is called the multiplication check. The multiplication check ensures your answer is correct. Here's how it works using the problem $ \frac{27}{3} $:
First, you perform the division to find the quotient:

$ 27 \div\ 3 \=\ 9 $.Next, you multiply the quotient (9) by the divisor (3) to confirm the result:

If this product matches the original dividend (27), then the division is correct. This extra step helps prevent errors and reinforces the understanding of the relationship between division and multiplication.

Prealgebra Operations

Prealgebra serves as the bridge between basic arithmetic and more advanced algebra concepts. Prealgebra introduces students to variables, expressions, and equations, and lays the groundwork for solving real-world problems mathematically.
In this exercise, we are dealing with prealgebra operations like division and multiplication. Understanding these operations is crucial for solving equations and simplifying expressions. For instance, knowing that $ 27 \div\ 3 \=\ 9 $ helps students simplify fractions and solve for unknowns in equations.
Grasping these foundations prepares students for algebraic topics, thereby making the transition to higher math smoother and less intimidating.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Divide. Then check by multiplying. $$\frac{27}{3}$$

Short Answer

Step by step solution

Understand the Division

Perform the Division

Check by Multiplying

Key Concepts

Basic Arithmetic

Multiplication Check

Prealgebra Operations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Discrete Mathematics

Geometry

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.