How to Use Properties of Numbers to Write Equivalent Expressions?
To write equivalent expressions, you have to combine like terms. Like terms have the same variables raised to the same powers.
[include_netrun_products_block from-products="product/6-south-carolina-sc-ready-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
A step-by-step guide to using properties to write equivalent expressions
To write equivalent expressions, you can use properties of operations. There are some common properties:
- Associative property of addition: \(\color{blue}{(a+b)+c=a+(b+c)}\)
- Associative property of multiplication: \(\color{blue}{(a×b)c=a(b×c)}\)
- Commutative property of addition:\(\color{blue}{a+b=b+a}\)
- Commutative property of multiplication: \(\color{blue}{a×b=b×a}\)
- Distributive property: \(\color{blue}{a(b+c)=a×b+a×c}\)
Here’s a step-by-step guide to using properties to write equivalent expressions:
- Identify the expression you want to simplify.
- Choose the property that you will use to simplify the expression.
- Apply the chosen property to the expression to simplify it.
- Repeat steps 2 and 3 until the expression is in its simplest form.
- Check your answer to make sure that it is equivalent to the original expression by using the properties in reverse.
Using Properties to Write Equivalent Expressions – Example 1
Complete and solve the expressions.
\(7r+5+6r=7r+… +5=\)?
Solution:
This expression is a commutative property of addition. So, if the order of addends changes, the sum does not change.
The missing number is \(6r\).
Now combine like terms: \(7r+6r=13r\)
\(13r+5\)
Using Properties to Write Equivalent Expressions – Example 2
Complete and solve the expressions.
\((9t+8)×3= ×3+8×3=\)?
Solution:
This expression is a commutative property of multiplication. So, if the order of factors changes, the product does not change.
The missing factor is \(9t\).
Now multiply: \(9t×3+8×3=27t+24\)
Exercises for Using Properties to Write Equivalent Expressions
Write the equivalent of each expression.
- \(\color{blue}{8y+4y}\)
- \(\color{blue}{7+n}\)
- \(\color{blue}{x+5}\)
- \(\color{blue}{y\:(8+4)}\)
- \(\color{blue}{n+7}\)
- \(\color{blue}{5+x}\)
Related to This Article
More math articles
- The Ultimate NYSTCE Grades 1-6 Math (222) Course (+FREE Worksheets & Tests)
- How to Graph Inequality: Using Number Lines to Graph Inequalities
- How to Solve Angle Measurements Word Problems
- 10 Most Common 6th Grade OST Math Questions
- What Kind of Math Is on the PERT Test?
- How to Interpret Pie Graphs? (+FREE Worksheet!)
- Why Live Online Casinos Are So Popular: Essential Facts to Know
- How to Find Vertical Angles? (+FREE Worksheet!)
- Top 10 7th Grade MCAS Math Practice Questions
- ParaPro Math Practice Test Questions
What people say about "How to Use Properties of Numbers to Write Equivalent Expressions? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.