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# Topic 6

### Equivalent Expressions

Identity Property of Addition he sum of 0 and any number is that number. For any number n, ๐ฏ+๐ข=๐ฏ and ๐ข+๐ฏ=๐ฏ. Example ๐ข+๐ฆ๐ฃ=๐ฆ๐ฃ ๐น+๐ข=๐น
Identity Property of Multiplication The product of 1 and any number is that number. For any number n, ๐ฏโข๐ฃ=๐ฏ and ๐ฃโข๐ฏ=๐ฏ. Example ๐ฃโข๐จ๐ฉ=๐จ๐ฉ ๐น(๐ฃ)=๐น
Zero Property of Multiplication The product of 0 and any number is 0. For any number n, ๐ฏโข๐ข=๐ข and ๐ขโข๐ฏ=๐ข. Example ๐ฅ๐จโข๐ข=๐ข ๐น(๐ข)=๐ข
Commutative Property of Addition For any numbers a and b: ๐ข+๐ฃ=๐ฃ+๐ข Example ๐ค๐ง+๐ง๐จ=๐ง๐จ+๐ค๐ง ๐น+๐ฉ๐ค=๐ฉ๐ค+๐น
Commutative Property of Multiplication For any numbers a and b: ๐ขโข๐ฃ=๐ฃโข๐ข Example ๐ฃ๐ฉโข๐จ=๐จโข๐ฃ๐ฉ ๐ฆ๐ฉ๐น=๐นโข๐ฆ๐ฉ
factors numbers that are multiplied to give a product.
common factor A common factor is a number which is a factor of two or more given numbers.
Distributive Property Multiplying a number by a sum or difference gives the same result as multiplying that number by each term in the sum or difference and then adding or subtracting the corresponding products. ๐ขโข(๐ฃ+๐ค)=๐ขโข๐ฃ+๐ขโข๐ค and ๐ขโข(๐ฃโฏ๐ค)=๐ขโข๐ฃโฏ๐ขโข๐ค
common multiple a multiple that two or more numbers share.
multiple the product of the number and a whole number.