3.1 Number Properties
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1) Number Properties
i) Integers
Numbers, such as -1, 0, 1, 2, and 3, that have no fractional part. Integers include the counting numbers (1, 2, 3, …), their negative counterparts (-1, -2, -3, …), and
0.
ii) Whole & Natural Numbers
The terms from 0,1,2,3,….. are known as Whole numbers. Natural numbers do not include 0. iii) Factors
Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12, as are 1, 2, 3, 4, and 6. iv) Factor Foundation Rule
If a is a factor of b, and b is a factor of c, then a is also a factor of c. For example, 3 is a factor of 9 and 9 is a factor of 81. Therefore, 3 is also a factor of
81.
v) Multiples
Multiples are integers formed by multiplying …show more content…
ix) Quadrants of a Coordinate Plane
The coordinate plane is divided into four quadrants. Quadrants are numbered beginning in the top right quadrant and moving counter-clockwise.
Quadrant I contains points with a positive x-coordinate and a positive y-coordinate.
Quadrant II contains points with a negative x-coordiante and a positive y-coordinate.
Quadrant III contains points with a negative x-coordinate and a negative y-coordinate.
Quadrant IV contains points with a positive x-coordinate and a negative y-coordinate.
x) Bisector
A line or line segment that cuts another line segment exactly in half. xi) Perpendicular Bisector
A line or line segment that cuts a line segment exactly in half and forms a 90º angle with that line. xii) Slopes of Perpendicular Lines
Two perpendicular lines have negative reciprocal slopes. For example, given two perpendicular lines and a slope of 2/3 for one of the lines, to find the slope of the www.aristotleprep.com 21
second line, first take the reciprocal of the given slope (so 2/3 becomes 3/2) and then reverse the sign. In this case, the given slope was positive, so the sign
1) Number Properties
i) Integers
Numbers, such as -1, 0, 1, 2, and 3, that have no fractional part. Integers include the counting numbers (1, 2, 3, …), their negative counterparts (-1, -2, -3, …), and
0.
ii) Whole & Natural Numbers
The terms from 0,1,2,3,….. are known as Whole numbers. Natural numbers do not include 0. iii) Factors
Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12, as are 1, 2, 3, 4, and 6. iv) Factor Foundation Rule
If a is a factor of b, and b is a factor of c, then a is also a factor of c. For example, 3 is a factor of 9 and 9 is a factor of 81. Therefore, 3 is also a factor of
81.
v) Multiples
Multiples are integers formed by multiplying …show more content…
ix) Quadrants of a Coordinate Plane
The coordinate plane is divided into four quadrants. Quadrants are numbered beginning in the top right quadrant and moving counter-clockwise.
Quadrant I contains points with a positive x-coordinate and a positive y-coordinate.
Quadrant II contains points with a negative x-coordiante and a positive y-coordinate.
Quadrant III contains points with a negative x-coordinate and a negative y-coordinate.
Quadrant IV contains points with a positive x-coordinate and a negative y-coordinate.
x) Bisector
A line or line segment that cuts another line segment exactly in half. xi) Perpendicular Bisector
A line or line segment that cuts a line segment exactly in half and forms a 90º angle with that line. xii) Slopes of Perpendicular Lines
Two perpendicular lines have negative reciprocal slopes. For example, given two perpendicular lines and a slope of 2/3 for one of the lines, to find the slope of the www.aristotleprep.com 21
second line, first take the reciprocal of the given slope (so 2/3 becomes 3/2) and then reverse the sign. In this case, the given slope was positive, so the sign