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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, 𝘯+𝟢=𝘯 and 𝟢+𝘯=𝘯. Example 𝟢+𝟦𝟣=𝟦𝟣 𝘹+𝟢=𝘹
Identity Property of Multiplication The product of 1 and any number is that number. For any number n, 𝘯•𝟣=𝘯 and 𝟣•𝘯=𝘯. Example 𝟣•𝟨𝟩=𝟨𝟩 𝘹(𝟣)=𝘹
Zero Property of Multiplication The product of 0 and any number is 0. For any number n, 𝘯•𝟢=𝟢 and 𝟢•𝘯=𝟢. Example 𝟥𝟨•𝟢=𝟢 𝘹(𝟢)=𝟢
Commutative Property of Addition For any numbers a and b: 𝘢+𝘣=𝘣+𝘢 Example 𝟤𝟧+𝟧𝟨=𝟧𝟨+𝟤𝟧 𝘹+𝟩𝟤=𝟩𝟤+𝘹
Commutative Property of Multiplication For any numbers a and b: 𝘢•𝘣=𝘣•𝘢 Example 𝟣𝟩•𝟨=𝟨•𝟣𝟩 𝟦𝟩𝘹=𝘹•𝟦𝟩
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. 𝘢•(𝘣+𝘤)=𝘢•𝘣+𝘢•𝘤 and 𝘢•(𝘣⎯𝘤)=𝘢•𝘣⎯𝘢•𝘤
common multiple a multiple that two or more numbers share.
multiple the product of the number and a whole number.