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Topic 6
Equivalent Expressions
Question | Answer |
---|---|
Identity Property of Addition | he sum of 0 and any number is that number. For any number n, ๐ฏ+๐ข=๐ฏ and ๐ข+๐ฏ=๐ฏ. Example ๐ข+๐ฆ๐ฃ=๐ฆ๐ฃ ๐น+๐ข=๐น |
Identity Property of Multiplication | The product of 1 and any number is that number. For any number n, ๐ฏโข๐ฃ=๐ฏ and ๐ฃโข๐ฏ=๐ฏ. Example ๐ฃโข๐จ๐ฉ=๐จ๐ฉ ๐น(๐ฃ)=๐น |
Zero Property of Multiplication | The product of 0 and any number is 0. For any number n, ๐ฏโข๐ข=๐ข and ๐ขโข๐ฏ=๐ข. Example ๐ฅ๐จโข๐ข=๐ข ๐น(๐ข)=๐ข |
Commutative Property of Addition | For any numbers a and b: ๐ข+๐ฃ=๐ฃ+๐ข Example ๐ค๐ง+๐ง๐จ=๐ง๐จ+๐ค๐ง ๐น+๐ฉ๐ค=๐ฉ๐ค+๐น |
Commutative Property of Multiplication | For any numbers a and b: ๐ขโข๐ฃ=๐ฃโข๐ข Example ๐ฃ๐ฉโข๐จ=๐จโข๐ฃ๐ฉ ๐ฆ๐ฉ๐น=๐นโข๐ฆ๐ฉ |
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. ๐ขโข(๐ฃ+๐ค)=๐ขโข๐ฃ+๐ขโข๐ค and ๐ขโข(๐ฃโฏ๐ค)=๐ขโข๐ฃโฏ๐ขโข๐ค |
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. |