Explain in your own words the commutative property of addition. Give an example (2 pts.)
- Answer You can add numbers in order you want to because the order of addends does
not change the sum.
Example: 57 + 68 = 68 +57
Associative Property of Addition Explain in your own words. Provide an example. (2 pts.)
- Answer You can change the groupings of addends by changing the groupings of
parentheses in addition. Neither the regroupings of addends change the sum.
Example: 77 + (3 + 5) = (77 + 3) + 5
Explain in your own words the identity property of 0. Give an example. (2 pts.) - Answer
Any number plus/added to 0 is that number.
Example: 0 + 6,105,987,423 = 6,105,987,423
, Explain in your own words the commutative property of multiplication. Give an example.
(2 pts.) - Answer You can multiply numbers in order you want to because the order of
factors does not change the product.
Example: 57 x 68 = 68 x 57
Associative property of multiplication Describe in your own words. Provide an example.
(2 pts.)-Answer You can change the grouping of parentheses when multiplying so that
any numbers you want to are multiplied together. The way factors are grouped does not
affect the product.
Example: 77 x (3 x 5) = (77 x 3) x 5
Describe the identity property of 1 in your own words and provide an example. (2 pts.) -
Solution Any number times one is that number.
Example: 65 x 1 = 1
Use the distributive property to calculate 4 x 12. (2 pt.) - Solution *There are more than
one way to solve this
Example: 4 x 12 = 4 x (10 + 2) = (4 x 10) + (4 x 2) = 40 + 8 = 48
Provide an example of a rational number. (1 pt.) - Answer *More than one possibility
Provide an example of an irrational number. (1 pt.) - Answer *More than one possibility
True/False - A variable is a symbol of a varying value in an expression. (1 pt.) - Answer
True
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