Uploaded byLindsey Brown
Properties
The document discusses several properties of addition and multiplication: 1) The commutative properties state that the order of numbers being added or multiplied does not change the sum or product. 2) The associative properties mean that grouping of numbers being added or multiplied does not change the result. 3) The identity properties refer to the facts that adding 0 or multiplying by 1 does not change a number. 4) The zero property says that multiplying any number by 0 equals 0.
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Properties
- 1. Properties Addition andMultiplication Properties 9/8/09
- 2. Commutative Property ofAddition The order the numbers are added does not change the sum. For any numbers x and y, x+y=y+x
- 3. Commutative Property ofMultiplication The order the numbers are multiplied does not affect the product. For any numbers x and y, x*y=y*x
- 4. Commutative Property HintsLook for your expressions to flip flop across the equal sign. First number listed will become the last number listed. Remember this… “If you’re going to take a shower in the ‘commutative’ (like community) shower, you better wear your flip-flops!”
- 5. Associative Property ofAddition The way the numbers are grouped does not change the sum. For any numbers x, y, and z, (x+y) +z = x + (y+z)
- 6. Associative Property ofMultiplication The way the numbers are grouped does not affect the product. For any numbers x, y, and z, (x*y)*z=x*(y*z)
- 7. Associative Property HintsAny time you are dealing with the associative property, you WILL see parenthesis! I promise!!!!! When you draw a set of parenthesis and put a line down the middle, you get a donkey’s butt. Think of this what you will
- 8. Identity Property ofAddition When you add any number and 0, the sum will ALWAYS be the number. For any number x, x + 0 = x.
- 9. Identity Property ofMultiplication Any time you mutliply a number by 1, the product is always the number. For any number, x, x*1=x
- 10. Identity Property Anytime the value of the expression is the number added (or mutliplied), it is an identity property. Look for +0 or *1.
- 11. Multiplicative Property ofZero Any number multiplied by 0 is 0.
- 12. Variables A variableis a letter that represents a number. Think back to 1 st or 2 nd grade. Do you remember seeing things like: ____ + 3 = 10? Now, rather than seeing a blank or a box, you’ll see a letter. It’s the SAME thing!!!
- 13. Identify the Propertyr*0= (m+n)+l = m+(n+l) j*k=k*j (7*3)*2=7*(3*2) 10+0=10 p+0=p s+t=t+s 9*1-9 100*0=0 (1+2)+3=1+(2+3)