Order of Ops, Exponents, Prime Factorization!

Fix My Mistake

100

9 - 3 x 2 

6 x 2 

= 12

9 - 3 x 2 

9 - 6 

= 3

200

10÷5 x 2 

10 ÷ 10

= 1

10÷5 x 2 

2 x 2

= 4 

300

5 x 5 +1 

5 x 6

= 30

5 x 5 + 1

25 + 1

= 26

400

4 + 5 + 7 - 3 x 2 

9 + 7 - 3 x 2

16 - 3 x 2

13 x 2 = 26

4 + 5 + 7 - 3 x 2 

4 + 5 + 7 - 6

9 + 7 - 6

16 - 6= 10

500

The problem was 20 - 5 x 2 + 3. My answer was 33. What did I do wrong?

I did not multiply first. The answer should be 13.

Word Stuff

100

Give the acronym we use to remember the order of operations and what each letter means

GEMS or GEMDAS. Grouping, Exponents, Multiplication/Division, Addition/Subtraction

200

The order in which numbers are added or multiplied does not change the result.

3+4=4+3     or    2x6=6x2

Which property is this?

Commutative Property

300

What property is this?

If we multiply a value by a set of numbers, we will get the same result even if we multiply the value by each number individually

4 x (3 + 5)= 4 x 3 + 4 x 5

Distributive Property

400

The value of a number does not change if we add 0 or multiply by 1.

5+0=5             5x1=5

What property is this?

Identity Property

500

Santa had to cover 2 rectangular presents with the same length together to make one big present. The length was 5 feet and present 1 had a width of 2 feet and present 2 had a width of 4 feet. Write an expression to represent the total area and solve for it.

5 x (2+4)

Area= 30 feet²

Solve 1

100

Write in exponent form

2 x 2 x 2 x 2 x 2 x 2

2⁶

200

Write in exponent form

3 x 3 x 3 x 5 x 5 x 5 x 5

3³ x 5⁴

300

-12 - 8 ÷ 2 + 3

13

400

20 ÷ (8 - 3²) + 16 

-4

500

Find the prime factorization of 144

2 x 2 x 2 x 2 x 3 x 3 

or 

2⁴ x 3²

Solve 2

100

(14 + 6) x (12 -4) -9

151

200

(15 - 5) x 10  + 3

103

300

6 x 8 + ( 7 - 6 )

49

400

( 10 + (-19) - 5 ) x (-2)

28

500

What is the prime factorization of 250

5 x 5 x 5 x 2

or

5³ x 2

Mixed Review

100

Simplify the expression below

4² x 12

192

200

Use the commutative property to write an expression that is equivalent to the problem below

(2 x 5) + (3 x 2)

(3 x 2) + (2 x 5)

300

The price of a car depreciates by $2,000 every year. What integer represents the change in price after 5 years?

-$10,000

400

The temperature in Denver drops 5 degrees every hour. What integer represents the change in temperature after 6 hours?

-30 degrees

500

Write the Prime Factorization of 60 from least to greatest

2² x 3 x 5