1.3 Properties of Numbers

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5=5

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4+7 = 4+7​

​Examples

Any number is equal to itself.

​Definition

If 2+6 = 8 then 8 = 2+6

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If 2​(5) = 10 then 10 = 2(5)

Examples

If one quantity equals a second quantity, then the second quantity equals the first.

​Definition

If 6+9 = 3+12

and 3+12=15

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then 6+9=15​

​Example

If one quantity equals a second quantity and the second equals the third quantity... then the first quantity also equals the third.

​Definition

​Examples

A quantity may be substituted for its equal in any expression.

​Definition

if x=11

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then​ 4+x can be wrote as 4+11

3+0=3

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0+5=5​

​Examples

For any number x, the sum of x and 0 is x.

​Definition

3+(-3)=0

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4-4=0

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-2+2=0​

​Examples

A number and its opposite are additive inverses of each other. (equals zero)

​Definition

5(1)=5

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1(10)=10​

​Examples

For any number x, the product of x and 1, is x.

​Definition

6(0)=0

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0(7)=0

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300(0)=0​

​Examples

For any number x, the product of x and zero is x.

​Definition

​Examples

​Definition

6+7=7+6

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5(4)=4(5)

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4+1+2=2+4+1​

​Examples

The order in which you ADD or MULTIPLY numbers does not change the solution.

​Definition

​Examples

The way you group three or more numbers when ADDING or MULTIPLYING does not change the solution.

​Definition

Some text here about the topic of discussion