Subjects

Arithmetic

Expressions

Evaluating Expressions with Multiple Variables

Easy Steps to Solve Expressions with Fractions and Decimals

Name: Knowunity
Brand: Knowunity

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Easy Steps to Solve Expressions with Fractions and Decimals

Drizzle Hinata

@drizzlehinata

148 Followers

Steps to simplify expressions with decimals and fractions and Order of operations for evaluating two-variable expressions are essential skills for solving mathematical problems. This comprehensive guide explains the systematic approach to evaluating expressions containing two variables with both fractions and decimal values.

The process follows a structured four-step approach for fractions, emphasizing proper use of parentheses and order of operations
Key focus on PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) ensures accurate calculations
Examples demonstrate practical application with both positive and negative numbers
Special attention to converting between whole numbers and fractions during calculations
Clear distinction between methods for handling decimal versus fractional expressions

9/15/2023

143

EVALUATING EXPRESSIONS WITH
TWO VARIABLES: FRACTIONS &
DECIMALS
How to Evaluate Expressions with Two Variables Involving Fractions
1. Write

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Page 2: Detailed Solution Process

This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.

Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.

Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.

Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.

The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.

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Page 3: Advanced Problem Solving

This page continues with the solution process and introduces the concept of evaluating expressions with decimals.

Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.

Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.

The page introduces two key steps for decimal operations:

Variable replacement with numerical values
Expression evaluation using PEMDAS

View

Page 4: Decimal Operations

This page focuses on working with decimal values in two-variable expressions.

Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.

Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.

Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.

The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.

View

Page 1: Introduction to Two-Variable Expressions

This page introduces the fundamental concepts for How to evaluate expressions with two variables using fractions. The content outlines a systematic four-step approach for solving these mathematical problems.

Definition: Order of Operations (PEMDAS) is a mathematical rule system that determines the sequence of operations when evaluating expressions.

Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.

Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.

Vocabulary: PEMDAS breakdown:

P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Arithmetic

Expressions

Evaluating Expressions with Multiple Variables

Easy Steps to Solve Expressions with Fractions and Decimals

Drizzle Hinata

@drizzlehinata

148 Followers

The process follows a structured four-step approach for fractions, emphasizing proper use of parentheses and order of operations
Key focus on PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) ensures accurate calculations
Examples demonstrate practical application with both positive and negative numbers
Special attention to converting between whole numbers and fractions during calculations
Clear distinction between methods for handling decimal versus fractional expressions

9/15/2023

143

6th/7th

Arithmetic

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Page 2: Detailed Solution Process

This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.

Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.

Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.

Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.

The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Advanced Problem Solving

This page continues with the solution process and introduces the concept of evaluating expressions with decimals.

Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.

Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.

The page introduces two key steps for decimal operations:

Variable replacement with numerical values
Expression evaluation using PEMDAS

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 4: Decimal Operations

This page focuses on working with decimal values in two-variable expressions.

Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.

Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.

Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.

The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Introduction to Two-Variable Expressions

Definition: Order of Operations (PEMDAS) is a mathematical rule system that determines the sequence of operations when evaluating expressions.

Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.

Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.

Vocabulary: PEMDAS breakdown:

P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User