8th Grade Algebradef
| Description: | 8th Grade Algebra Definitions |
| Category: | Math |
| Created by: | bluehicke35 on 2005-09-14 |
| name | definition |
| Natural Numbers | The set of counting numbers |
| Whole Numbers | The set of counting numbers and zero |
| Integers | The set of Whole numbers and their additive inverses |
| Rational Numbers | The set of all a/b where a=Interger and b= natural |
| Union | To bring together 2 or more sets |
| Intersection | To bring together what is in common between 2 or more sets |
| Absolute Value | The distance of a number from the origin |
| Reflexive | 7=7, a=a |
| Symmetric | if a=b, then b=a |
| Transitive | If a=b and b=c then a=c |
| Zero Property | a*0=0 |
| Distributive Property | a (b+c)=ab+ac |
| Additive Inverse | a+-a=0 |
| Additive identity | 9+0=9 |
| Communitive property of + and * | a+b=b+a, ab=ba |
| Multiplicative Inverse | b*1/b=1 |
| Multiplicative Identity | 12*1=12, x*1=x |
| Associative Property of + or * | (a+b)+c=a+(b+c) |
| Substitution | 3+7= 3+(14/2) |
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Integers 8/23/07 + + + (add) + = - - - (add) + = - + sign of the larger number + = or (sub) -7+(-4)=-11 9.51+(-17)=-7.49 -17.00+9.51=7.49 -4.3+1.2+(-5.7)=-10+1.2=8.8 -4.3-5.7=-10.0+1.2=8.8 /-4/ /5/ /-0.1/+/-0.7/ /0.1/+/-0.7/ 4 5 0.1 0.7 o.1 + 0.7 0.8 0.8 Multi-step Problem solving 9/12/07 2(x+6)+2(x)=24 2x+12+2x=24 x=9 2(x+15)=15cm 4x+12=24 2x+30+2x=150 2x+2x=4x+30=150 -12 12 -30= 30 4x=12 4 4 x=30 x+15=45 Consecutive odd numbers 1,3,5,7,... +2 Consecutive even numbers 2,4,6,8,... +2 The sum of two consecutive odd numbers is 76. Find the numbers. |
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