MAGNITUDE
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16 Terms
Absolute Value
distance a number is from zero; always a positive number
Example.
∣−9∣=9∣and ∣9∣=9
Irrational Numbers
real numbers that CANNOT be represented exactly; they can not be shown as a ratio of two integers nor placed on a number line
Example.
pi (π)
Number Line
a straight line where each number is equal distance from the next one
Base 10 Number system
Our number system. Each place location for a number has a value that is a power of 10
Example.
10, 100, 1000, 10000
Real Numbers
Term definition.
numbers that have a specific value
Example.
-2, 3, 1/2, 3.2, √2
Scientific Notation
numbers expressed as the product of a base-10 number and a number between 1 and 10
Example.
2.56 x 10 = 25.6
4.32 x 10-4 = 0.000432
Common Denominator
when 2 fractions share the same total parts of whatever item or items are being represented
Example.
1/3 and 2/3
Integers
infinite set of positive and negative counting numbers and zero
Example.
–2, –1, 0, 1, 2
Expanded Form / Expanded Notation
break apart each digit in the number and show the digits true value
Example.
4,358→4000+300+50+8
Unit Fraction
a fraction composed of 1 over any rational number; the inverse of a whole number
Example.
½ OR 1/19
Term,Natural Numbers
set of counting numbers starting at 1 and increasing by 1s up to infinity; sometimes called "counting numbers"
Example.
1, 2, 3, ...
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Whole Numbers
infinite set of natural numbers and zero
Example.
0,1,2,3, ...
Place Value
The value of each digit in a number based on its location, or place
Example.
In 135, the 3 is in the tens place and has a value of 3 x 10 or 30.
Multiplicative Identity Property
a number that, when multiplied by xx, yields xx. These are one or forms of one such as X/X
Example.
6×1=6
Magnitude
size of a number
Example.
7 has a greater magnitude than 2
Benchmark Fraction
an easily remembered fraction that can be used to make problems simpler
Example.
1/10, 1/4, 1/2, etc.