SOLUTION: name the property of real numbers illustrated by each equation.
2(3x-y)=6x-2y
3+(pi)=(pi)+3
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Question 897612: name the property of real numbers illustrated by each equation.
2(3x-y)=6x-2y
3+(pi)=(pi)+3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
name the property of real numbers illustrated by each equation.
2(3x-y)=6x-2y
3+(pi)=(pi)+3
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2(3x-y)=6x-2y ... This is using the distributive property
Distributive Property
Some other examples of the distributive property
(Image Source: http://www.mathwarehouse.com/dictionary/D-words/distributive-property-diagramB.png)
Notice how the outer term is being multiplied by EVERY term inside the parenthesis and then you add up those products. A common mistake is to multiply the outer term with only the first term inside (or only a few terms inside, but not all). Be careful not to fall for this common mistake.
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3+(pi)=(pi)+3 ... This is using the Commutative Property of Addition
Commutative Property of Addition
This property basically states: "You can add any two numbers in any order you want"
Other examples
7+11 = 18
11+7 = 18
9+8 = 17
8+9 = 17
44+6 = 50
6+44 = 50
You can use a number line to display each example visually.
I'm sure you are quite familiar with this property at this point on an intuitive/common sense level. The "Commutative Property of Addition" is just the term mathematicians have given the idea.
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