11.1 - Evaluating Numerical Expressions + REVIEW

Evaluating Numerical Expressions

How can you use the Order of Operations to evaluate expressions with decimals?

Reorder

First, let's review Order of Operations!

From left to right, what is the correct process?

• Parenthesis/

  Grouping Symbols

• Exponents/

  Roots

• Multiplication/Division

• Addition/

  Subtraction

1

2

3

4

• 1
• 2
• 3
• 4

Labelling

Lets Review! Label the parts

of this Power?

Drag labels to their correct position on the image

Exponent

Root

Variable

Base

Power

Multiple Choice

Let's Practice!

How would I solve this problem?

• 4 x 4 x 4

• 4 x 3

• 4 x 2

Multiple Choice

Now, solve this Problem:

• 4

• 10

• 24

• 32

Fill in the Blank

Use Order of Operations to evaluate this expression. 

$$10\ \times\left[3.7\ +\ \left(24\ \div\ 3\right)\right]$$  

How can you evaluate expressions with brackets and variables?

• Inside parenthesis first (x - 3.5)

• Substitute 9.5 for x.

• (9.5 - 3.5) = 6

• Rewrite the new expression.

• Brackets next.

• [6 x 6] = 36

• Rewrite the new expression.

• Complete addition, the last step. 

• 3 + 4.2 = 7.2

Now, you try.

Remember to follow PEMDAS

Multiple Choice

$$\left(7.8\div2\right)\times12$$  

• 46.8

• 117.6

• 69.6

• 15.9

Fill in the Blank

$$9.2+\left(x\ \times3\right)$$  

Evaluate this expression when X = 3

Multiple Choice

$$5.6+\left(3\times9.6-4.8\right)$$  

• 20

• 77.76

• 41.28

• 29.6

Fill in the Blank

$$3^2+\left(7.1-x\times3\right)$$  

Evaluate this expression when x = 2

Multiple Choice

$$\left[\left(4.2\times3.4\right)-9.28\right]$$  

• 16.88

• 5

• 1.5

• 24.7

Poll

How confident are you with evaluating numerical expressions?

• I feel great!

• I feeling okay.

• I am confused.

Match

Lets Review some Basic Vocabulary!

• sum

• difference

• product

• quotient

the answer to an addition problem

the answer to a subtraction problem

the answer to a multiplication problem

the answer to a division problem

• the answer to an addition problem

• the answer to a subtraction problem

• the answer to a multiplication problem

• the answer to a division problem

Match

Match the following...

• Triangle

• Quadrilateral

• Hexagon

• Pentagon

Polygon with 3 sides

Polygon with 4 sides

Polygon with 6 sides

Polygon with 5 sides

• Polygon with 3 sides

• Polygon with 4 sides

• Polygon with 6 sides

• Polygon with 5 sides

Labelling

Label the parts...

Drag labels to their correct position on the image

Denominator

Product

Fraction

Improper Fraction

Numerator

Match

Match the following...

Mixed Number

Improper Fraction

Variables

Equivalent Fractions

Zero Pair

• Mixed Number

• Improper Fraction

• Variables

• Equivalent Fractions

• Zero Pair

Now Let's Review Integer Rules

Multiple Choice

-3 + 2

• 5

• -1

• -5

• 1

Multiple Choice

-4 + -3

• -7

• 7

• 1

• -1

Multiple Choice

-9 + 9

• 0

• 18

• 1

• -18

Multiple Choice

Negative number + Negative number = 

• postive number
• negative number
• zero

Multiple Choice

If the signs are different, you will ____

• subtract

• add

• divide

• multiply

Categorize

Options (14)

(+) + (+)

(-) + (-)

(+) x (+)

(-) x (+)

(-) x (-)

$$\left(+\right)\ \div\ \left(-\right)$$  

$$\left(-\right)\ \div\ \left(-\right)$$  

$$\left(+\right)\ \div\ \left(+\right)$$  

(+) x (-)

Keep, Change, Change (Inverse)

(+) - (-)

Subtract

Keep the sign of the integer farthest from zero

What are the integer outcomes of the following...

Positive

Negative

When Subtracting Different Integers

When Adding Integers with Different Sign