Properties of Multiplication
Any number multiplied by 1 will equal itself. What property is this?
Identity property
4+4+4+4+4 (Five groups of four)
4 ÷ 1 = ?
4. Any number divided by 1 will equal that number.
Write a fact family for the numbers 10, 5, and 2
10 ÷ 2 = 5
10 ÷ 5 = 2
5 x 2 = 10
2 x 5 = 10
Complete the pattern:
4, 16, 64, ___
256
Any number multiplied by 0 will equal 0. What property is this?
Zero property
What number makes the number sentence true?
10 x 2 = ___ x 10
2, commutative property
0 ÷ 465 = ?
0 because anything dived by zero will equal zero.
What multiplication fact can help you find 6 ÷ 2?
2 x 3 or 3 x 2
What is the rule for this pattern?
2, 6, 18, ____
Multiply by 3
The order of the factors in a multiplication problem does not matter. 3x4 is the same as 4x3. What property is this?
Commutative property
Ariel's hair is 7 times as long as the length of a paperclip. The paper clip is 2 inches long. How long is Ariel's hair?
7 x 2 = 14
What division problem is related to the multiplication problem 7 x 6 = 42
42 ÷ 6 = 7
42 ÷ 7 = 6
What multiplication fact can help you find 10 ÷ 2?
5 x 2 = 10
or
2 x 5 = 10
What is the rule for the pattern below?
9, 18, 27, 36
add 9
Multiplication problems can be broken apart into two simpler problems. What property is this?
Distributive property
Tim bought 3 bags of apples. Each bag had 4 apples in it. How many apples did he buy total?
3 x 4 = 12
Show a division picture for 56 ÷ 7
answers will vary
Write a fact family using the numbers 2, 3, and 6.
6 ÷ 2 = 3
6 ÷ 3 =2
3 x 2 = 6
2 x 3 = 6
What is the rule for the pattern below?
3, 6, 15, 42
subtract 1, then multiply by 3
Which two properties are related to division problems? (hint: zero divided by a number will always be... and a number divided by 1 will always be...)
Zero and identity property
What is a way to find 6x9 with the distributive property?
(6x4) + (6x5) = 24 + 30 = 54
Ali had 48 sandwiches. She wants to divide them into equal groups to give to 6 different soup kitchens. How many sandwiches will each soup kitchen get?
48 ÷ 6 = 8
Henry has 35 marbles he wants to arrange into 7 equal groups. Write a fact family that shows how Henry could arrange the marbles.
7x5=35
5x7=35
35 ÷ 7 =5
35 ÷ 5 = 7
What are the next 3 numbers in the pattern?
3, 6, 15, 42, ___, ____, ____
123, 336, 1095