Properties of Multiplication
this property of multiplication says that when you multiply a number and 0, the product is 0.
Zero Property
? = (1 x 5) + (2 x 5)
write the equation for the question mark and solve
3 x 5 = 15
? = (2 x 6) + (2 x 6)
write the equation for the ? and solve
4 x 6 = 28
Jeffery wants to split his array into two (2 x 8) arrays. What is the size o Jeffery's original array.
4 x 8
54 - 27 = ?
27
this property of multiplication says when you multiply a number and 1, the product is that number.
The identity property
(or the one property)
Break apart 3 x 6 and solve, using the distributive property.
(2 x 6) + (1 x 6) =
12 + 6 =
18
Break apart 4 x 7 using 2s facts and solve.
4 x 7 = (2 x 7) + (2 x 7) = 14 + 14 = 28
In art class there were 2 boxes of paints on each table. There were 3 tables. How many boxes of paints are there?
What math operation does "how many more/less" mean?
subtraction - finding the difference
this property of multiplication says that you can multiply the factors in any order and the product stays the same
the commutative property
How can 3 x 7 be broken apart?
(1 x 7) + (2 x 7)
Name one way you can break apart 4 x 8.
2s facts - (2 x 8) + (2 x 8)
or
(1 x 8) + (3 x 8)
In art class there were 2 boxes of paints on each table. There were 3 tables. That's 6 boxes of paints. There were 8 paints in each box. How many paints are there total?
6 x 8 = 48
True or false?
6 x 6 = 36
true
6 x 6 = 36
this property of multiplication says that a multiplication fact can be broken up into the sum of two other multiplication facts.
name on way 6 x 8 be broken up.
(1 x 8) + (5 x 8) - easy
(2 x 8) + (4 x 8) - medium
(3 x 8) + (3 x 8) - medium
(3 x 6) + (3 x 6) = ?
What number goes in the ?, no equation needed
36
Haley bought 3 shirts and 2 pairs of sunglasses. How much did she spend in all?
shirts: $6
sunglasses: $5
3 x 6 = 18
2 x 5 = 10
18 + 10 = 28
(1 x 500) + (5 x 500) = _ x _
6 x 500
this property says that when multiplying by 3 or more, you can change the grouping of the factors and the answer will be the same.
the associative property
name one way you can break apart 7 x 6.
(there are 3 possible ways)
(2 x 6) + (5 x 6) - easy
(3 x 6) + (4 x 6) - medium
(1 x 6) + (6 x 6) - hard
which facts can be used to find 4 x 9?
(2 x 9) + (2 x 9)
AND
(1 x 9) + (3 x 9)
Kathleen bought 2 journals and 3 packs of pens. Each pack had 2 colorful pens. How much did she spend in all?
journals: $4
pens: $5
(2 x 4) + (3 x 5) =
8 + 15 =
$23
true or false:
the BEST way to break apart a 4s fact is into a 1s fact and a 3s fact.
FALSE. The best way is to use the 2s fact and double the product.