# Khan/khan-exercises

Algebraic property wording tweaks

`Auditors: eater`
1 parent a998f6c commit 22d370da38825b6b83035441e006fcd72d1215bf spicyj committed May 2, 2013
Showing with 19 additions and 20 deletions.
1. +19 −20 exercises/number_properties_terminology_1.html
 @@ -30,7 +30,7 @@

Notice that on the left side of the equation the parentheses indicate to add the b and the c before you add the a.

On the right side of the equation, we first add a and b before adding c.

The order of the variables has not changed but the groupings (what's inside the parentheses) have.

-

The groups have changed, and another word for a group is association.The above equation demonstrates the Associative Property of addition.

+

The groups have changed, and another word for a group is association.The above equation demonstrates the associative property of addition.

@@ -49,20 +49,20 @@

Evaluating the right side, the result is the same:

(A+B)+C=ASSOCIATIVE_RESULT

-

The groups have changed, and another word for a group is association. The equation demonstrates the Associative Property.

+

The groups have changed, and another word for a group is association. The equation demonstrates the associative property.

-

Which one of the equations on the right represents the Associative Property of addition?

+

Which one of the equations on the right represents the associative property of addition?

a+(b+c)=(a+b)+c

• value
-

The Associative Property should not be confused with the Commutative Property, in which the sequence or order of numbers is changed.

-

In contrast to the Commutative Property, the Associative Property justifies rearranging our parentheses. For example, adding (4+2)+3 is equivalent to adding 4+(2+3) and represents the Associative Property.

-

a+(b+c)=(a+b)+c demonstrates the Associative Property.

+

The associative property should not be confused with the commutative property, in which the sequence or order of numbers is changed.

+

In contrast to the commutative property, the associative property justifies rearranging our parentheses. For example, adding (4+2)+3 is equivalent to adding 4+(2+3) and represents the associative property.

+

a+(b+c)=(a+b)+c demonstrates the associative property.

@@ -74,8 +74,8 @@

As this equation implies, changing the order of a and b will not change the end result.

-

This property should not be confused with the Associative Property, in which groupings (what's inside the parentheses) are changed.

-

This equation demonstrates the Commutative Property. The following sentence may help you to remember this property: The commuting distance is the same in either direction, from school to home or home to school.

+

This property should not be confused with the associative property, in which groupings (what's inside the parentheses) are changed.

+

This equation demonstrates the commutative property.

@@ -86,7 +86,7 @@
• value
• -

This property should not be confused with the Associative Property, in which the order of operations is changed.

+

This property should not be confused with the associative property, in which the order of operations is changed.

As this equation implies, changing the order of A and B doesn't change the end result.

Evaluating the left side:

@@ -96,21 +96,20 @@

Evaluating the right side, the result is the same:

B+A=COMMUTATIVE_RESULT

-

This equation demonstrates the Commutative Property. The following sentence may help you to remember this property: The commuting distance is the same in either direction, from school to home or home to school.

+

This equation demonstrates the commutative property.

-

Which one of the equations on the right represents the Commutative Property of addition?

+

Which one of the equations on the right represents the commutative property of addition?

a+b=b+a

• value
-

According to the Commutative Property, the order of the numbers doesn't matter.

-

The Commutative Property should not be confused with the Associative Property, in which you change the groupings (what is contained inside the parentheses).

-

The following sentence may help you to remember the Commutative Property: "The commuting distance is the same in either direction, from school to home or home to school."

-

a+b=b+a demonstrates the Commutative Property.

+

According to the commutative property, the order of the numbers doesn't matter.

+

The commutative property should not be confused with the associative property, in which you change the groupings (what is contained inside the parentheses).

+

a+b=b+a demonstrates the commutative property.

@@ -124,7 +123,7 @@

On the left side of the equation, b is multiplied by the sum of c and d.

On the right side of the equation, we first multiply b by c and d individually and then add their products.

-

We say that multiplication distributes b over addition of c and d, and this equation demonstrates the Distributive Property.

+

We say that multiplication distributes b over addition of c and d, and this equation demonstrates the distributive property.

@@ -144,21 +143,21 @@

Evaluating the right side, the result is the same:

A+(B)(C)+(B)(D)=DISTRIBUTIVE_RESULT

-

We say that multiplication distributes B over addition of C and D and so this is called the Distributive Property.

+

We say that multiplication distributes B over addition of C and D and so this is called the distributive property.

-

Which one of the equations on the right represents the Distributive Property of addition?

+

Which one of the equations on the right represents the distributive property of addition over multiplication?

a+b(c+d)=a+bc+bd

• value

In the correct answer, on the left side the equation b is multiplied by the sum of c and d.

On the right side of this equation, we first multiply b by c and d individually and then add their products.

-

In this equation, b gets distributed to c and d, and so we call this the Distributive Property.

-

a+b(c+d)=a+bc+bd represents the Distributive Property.

+

In this equation, b gets distributed to c and d, and so we call this the distributive property.

+

a+b(c+d)=a+bc+bd represents the distributive property.