Algebra I Recipe: Numbers and Number Operations 

A. Definitions

whole numbers  are positive numbers beginning with zero such as 0, 1, 2, 3, 4, . . .

fraction  is a part of a whole number written with a fraction bar where the top number is the numerator and the bottom number is the denominator.
 Given the fraction 3/5, 3 is the numerator and 5 is the denominator.
 To change a fraction to a decimal, divide the denominator into the numerator.
for example: ½ = 1 ÷ 2 = 0.5

decimal  is a part of a whole number written with a decimal point where the place values to the right of the decimal are: . (tenths) (hundredths) (thousandths) (ten thousandths) etc.
 To round a number to a particular place value, look at the number to the immediate right of the place value and if it is 5 or more round up one, but if it is 4 or less leave at the same value.


 To change a decimal to a percent, move the decimal two places to the right.



percent  some part out of 100.
 To change a percent to a fraction, put the number over 100 and then reduce.


 To change a percent to a decimal, move the decimal two places left.




numerical expression  an expression with numbers and operations such as [8  3(2)] ÷ 6

grouping symbols
 parentheses ( )
 brackets [ ]
 braces { }

evaluate  means to find the value of the expression.
 Perform operations inside parentheses.
 Perform all multiplication and division as they appear from left to right.
 Perform all addition and subtraction as they appear from left to right.

perimeter  is the distance around an object.
 Find the perimeter by adding the lengths of each side of the object together.

area of a rectangle  is the space inside the rectangle given in square units.
B. The 4 Basic Operations and Their Symbols

Sum means to add: use +

Difference means to subtract: use 

Product means to multiply: use ( )( ), ·, 2( ), 5x

Quotient means to divide: use ÷ or the fraction bar (¾)
Practice Problems

G Redden


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