BEDMAS
What operation do you complete first for and what is the correct answer to:
4+3xx8
you must multiply first
4 + 3 x 8
= 4 + 24
=28
True or False:
The commutative property says that the order of addition or multiplication doesn't matter.
ie. 3 + 5 = 5 + 3 and 3(5) = 5(3)
TRUE
True or False:
The associative property says that grouping addition or multiplication won't change the results.
ie. (3 + 5) + 6 = 3 + (5 + 6)
and (3 x 5) x 6 = 3 x (5 x 6)
TRUE
True or False:
The distributive property lets us distribute the multiplication in front of a bracket before we do the operations inside a bracket.
ie. 4(5 + 1) --> 4(5) + 4(1)
TRUE!
What operation do you complete first for and what is the correct answer to:
3+2(4+1)
The first step is inside the bracket (although we can distribute the multiplication too)
3 + 2(4+1)
= 3 + 2(5)
= 3 + 10
=13
True or False:
The commutative property says that the order of subtraction or division doesn't matter.
ie. 3 - 5 = 5 - 3 and 3/5 = 5/3
FALSE!! The answers are going to almost always be different!
True or False:
The associative property says that grouping subtraction or division won't change the results.
ie. (3 - 5) - 6 = 3 - (5 - 6)
and (3/5)/6 = 3/(5/6)
FALSE!!
Ex. (3 - 5) - 6 3 - (5 - 6)
= -2 - 6 = 3 - (-1)
= -8 = 4
What would the distributive property for the following result in:
4( 2 + 6 )
4( 2 + 6 ) = 4(2) + 4(6)
What operation do you complete first for and what is the correct answer to:
3 + 2(2 + 3^2)
The first step is to do the exponent inside the bracket.
3 + 2(2 + 32)
= 3 + 2(2 + 9)
= 3 + 2(11)
= 3 + 22
= 25
What is the commutative equivalent to:
3 + 7
7 + 3
What is the easiest way to group the following:
2 x 5 x 9
Do the 2 x 5 first.
(2 x 5) x 9
What would the distributive property for the following result in:
5(8 + 5 + 7)
5(8 + 5 + 7) = 5(8) + 5(5) + 5(7)
What operation do you complete first for and what is the correct answer to:
(3+7)/5+1
You do the addition at the top of the fraction first.
(3+7)/5+1
= 10/5+1
= 2+1
= 3
What is the commutative equivalent to:
8 x 4
4 x 8
What is the easiest way to group the following:
18 x 5 x 2
Do the 5 x 2 first,
18 x (5 x 2)
Solve the following using mental math:
3(8 + 8 + 8 + 8)
3(8 + 8 + 8 + 8)
= 3(8) + 3(8) + 3(8) + 3(8)
= 24 + 24 + 24 + 24
= 96
What operation do you complete first for and what is the correct answer to:
14 - 2 xx 3 + 2xx4
You can do either of the multiplication first.
14 - 2 xx3 +2xx4
= 14 - 6 + 8
= 8 + 8
= 16
Is there a way to use the commutative property with subtraction?
YES!
if you use integers...
3 - 5 = -5 + 3
What is the easiest way to group the following:
6 + 5 + 4 + 5
(6 + 4) + (5 + 5)
Solve the following using mental math:
5(8 + 6 + 6 + 2)
5(8 + 6 + 6 + 2)
= 5(8) + 5(6) + 5(6) + 5(2)
= 40 + 30 + 30 + 10
= 110