LESSON: Numerical Expressions

Numerical & Algebraic Expressions

By Enosha Chapman

Order of Operations

GEMDAS

When solving numerical expressions, a specific order exists to solve each question successfully.

Multiple Choice

Consider the expression $$15\ +7\times2$$

Which step should be completed first?

• add 15 and 7

• multiply 7 and 2

Multiple Choice

Consider the expression

$$8\times7-\left(9+6\right)$$

• add 9 and 6

• subtract 7 from 9

• multiply 8 and 7

• subtract 9 from 7

Math Response

Solve the expression

$$3+4^2\left(6-2+7\right)$$

Type answer here

Correct Answer: 179

Deg^°

Rad

Numerical Expressions

Vocabulary

Many words mean the same thing, but similar words can mean different things. Words that you will see often in this unit will be:
SUM: the result of adding VARIABLE: a letter to represent an unknown variable
DIFFERENCE: the result of subtracting INTEGER: a whole number, either negative or positive, and zero
PRODUCT: the result of multiplying RATIONAL NUMBER: a number that can be written as a fraction
QUOTIENT: the result of dividing COEFFICIENT: the number in multiple by a variable, always in front.
SQUARED: the result of multiplying the same number twice BASE: the factor being that is multiplying itself within an exponent
CUBED: the result of multiplying the same number 3 times. EXPONENT: the number on the top right corner, the many times to multiply

Match

Match the Vocabulary Word with its definition

• SQUARED

• PRODUCT

• RATIONAL

  NUMBER

• SUM

• VARIABLE

multiplying a number by itself twice

the result of multiplying

a number that written as a fraction

the result of adding

a letter that is an unknown number

• multiplying a number by itself twice

• the result of multiplying

• a number that written as a fraction

• the result of adding

• a letter that is an unknown number

Match

Match the vocabulary words with its definition.

• CUBED

• DIFFERENCE

• COEFFICIENT

• INTEGER

• EXPONENT

a number multiplied by itself 3 times

the result of subtracting

a number in front of the variable

a positive or negative number

the many times to multiply a number

• a number multiplied by itself 3 times

• the result of subtracting

• a number in front of the variable

• a positive or negative number

• the many times to multiply a number