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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Ÿข=๐˜ฏ and ๐Ÿข+๐˜ฏ=๐˜ฏ. Example ๐Ÿข+๐Ÿฆ๐Ÿฃ=๐Ÿฆ๐Ÿฃ ๐˜น+๐Ÿข=๐˜น
Identity Property of Multiplication The product of 1 and any number is that number. For any number n, ๐˜ฏโ€ข๐Ÿฃ=๐˜ฏ and ๐Ÿฃโ€ข๐˜ฏ=๐˜ฏ. Example ๐Ÿฃโ€ข๐Ÿจ๐Ÿฉ=๐Ÿจ๐Ÿฉ ๐˜น(๐Ÿฃ)=๐˜น
Zero Property of Multiplication The product of 0 and any number is 0. For any number n, ๐˜ฏโ€ข๐Ÿข=๐Ÿข and ๐Ÿขโ€ข๐˜ฏ=๐Ÿข. Example ๐Ÿฅ๐Ÿจโ€ข๐Ÿข=๐Ÿข ๐˜น(๐Ÿข)=๐Ÿข
Commutative Property of Addition For any numbers a and b: ๐˜ข+๐˜ฃ=๐˜ฃ+๐˜ข Example ๐Ÿค๐Ÿง+๐Ÿง๐Ÿจ=๐Ÿง๐Ÿจ+๐Ÿค๐Ÿง ๐˜น+๐Ÿฉ๐Ÿค=๐Ÿฉ๐Ÿค+๐˜น
Commutative Property of Multiplication For any numbers a and b: ๐˜ขโ€ข๐˜ฃ=๐˜ฃโ€ข๐˜ข Example ๐Ÿฃ๐Ÿฉโ€ข๐Ÿจ=๐Ÿจโ€ข๐Ÿฃ๐Ÿฉ ๐Ÿฆ๐Ÿฉ๐˜น=๐˜นโ€ข๐Ÿฆ๐Ÿฉ
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˜ฃโŽฏ๐˜ค)=๐˜ขโ€ข๐˜ฃโŽฏ๐˜ขโ€ข๐˜ค
common multiple a multiple that two or more numbers share.
multiple the product of the number and a whole number.
addend numbers that are added together to find a sum.
sum the answer to an addition problem
greater common factor the greatest number that is a factor of all of the numbers.