Operation Relationships
Order of Operations
Division
Exponents
Properties
100

Show this as multiplication: 

4+4+4

4x3 or 3x4

100

X means multiply, not a variable.

7-24/8X4+6

1

100

Show repeated subtraction with the divisor as the size of the unit.

4/2

4-2-2=0

100

32

9

100

Which property is this?

3x2=2x3

commutative property of multiplication

200

Show this as repeated addition:

7x3

7+7+7 or 3+3+3+3+3+3+3

200

X means multiply, not a variable.

18/3-7+2X5

9

200

Show repeated subtraction with the divisor as the size of the unit.

10/5

10-5-5=0

200

43

64

200

Which property is this?

5+6=6+5


commutative property of addition 

300

Show this as division:

8-4-4=0

8/2 or 8/4

300

X means multiply, not a variable.

6X4/12+72/8-9

2

300

Show repeated subtraction with the divisor as the number of units.

16/2

16-8-8=0

300

five to the third power

125

300

Which property is this?

100x1=100 

multiplicative identity property of 1

400

Show this as repeated subtraction (it must be a complete answer, not a partial answer)

10/5

10-5-5=0 or 10-2-2-2-2-2=0

400

X means multiply, not a variable.

-2(1X4-2/2)+(6+2-3)

-1

400

Show repeated subtraction with the divisor as the number of units.

12/3

12-4-4-4=0

400

12 squared

144

400

Which property is this?

23+0=23

additive identity property of zero
500

Show this as repeated addition: 5x

x+x+x+x+x

500

X means multiply, not a variable.

(14X22+33)-25/4

23

500

Show repeated subtraction with the divisor as the size of the unit. 

21/7

21-7-7-7=0

500

12 cubed

1728

500
Show this another way using the commutative property. 

7+X+Y

any variation 

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