Identify the property:
2 x 0 = 0
Zero Property
Solve:
4 x 100 =
400
Write in expanded form and standard form:
104 = __________________ = ______
104 = 10 x 10 x 10 x 10 = 10,000
84 x 5 =
420
Mary is baking cookies. She needs 15 trays of cookies. Each tray holds 12 cookies. How many cookies is Mary making?
Draw a picture, solve, and write your answer in a sentence.
Picture: 15 boxes with 12 in each
15 x 12 = 180
Mary will make 180 cookies.
Identify the property:
12 x (3 X 45) = (12 x 3) x 45
Associative Property, the grouping changed
Solve:
30 x 500 =
1,500
Write in exponential form and standard form:
_____ = 10 x 10 x 10 = ______
103 = 10 x 10 x 10 = 1,000
Solve using an AREA MODEL:
23 x 46 =
20 3
40 20 x 40 40 x 3
800 120 920
6 20 x 6 6 x 3
120 18 138
23 x 46 = 1,058
Lucian plays 21 regular season baseball games a year. If the team has 16 hits a game, how many hits will they have all season?
Draw a picture, solve, and write your answer in a sentence.
Picture: 21 boxes with 16 in each
21 x 16 = 336
Lucian's team will have 336 hits all season.
Does the Commutative Property work with division?
Think! 4 divided by 2 = 2 divided by 2
Is that true?
No, the Commutative Property only works with addition and multiplication.
Solve:
20 x 300 x 7 =
42,000
Solve:
5 x 104 =
50,000
58 x 31 =
1,798
When playing Zonk!, Miss Carpenter's class averages 955 points a game. In one school year, the class played a total of 23 games. How many total points did they school in one year?
Draw a picture, solve, and write your answer in a sentence.
Picture: 23 boxes with 955 in each
955 x 23 = 21,965
Miss Carpenter's class scored a total of 21,965 points in one year.
Identify the TWO properties being used:
4 x 5 x 1 = 5 x 4 x 1
Commutative Property, the order is being changed
Identity Property, 1 is a factor
Solve:
300 x 50 x 100
1,500,000
Solve:
37 x 102 =
3,700
345 x 321 =
110,745
Identify the TWO properties being used AND fill in the missing factor:
3 x (5 x 0) = (3 x __ ) x 0
The Associative Property, the grouping changed
The Zero Property, 0 is a factor
3 x (5 x 0) = (3 x 5) x 0
Solve:
5 x 70 x 300 =
105,000
Solve:
3 x 60 x 103 =
180,000
785 x 467 =
366,595