What is the difference between the Commutative Property of Multiplication and the Commutative Property of Addition?
Commutative Property of Multiplication says that the order of the factors does not change the product. Commutative Property of Addition says that the order of the addends does not change the sum.
100
My dad has 9 oak and maple boards from the lumber yard. Each oak board is 1 centimeter thick. Each maple board is 5 centimeters thick. When my dad stacks the boards, the stack is 29 centimeters thick. How many of each type of board does he have?
4 oak boards
5 maple boards
200
100,203 x 555
55,612,665
200
0.04 x 28
1.12
200
1,379 x 21.01
1,000 x 20=20,000
200
Name the property shown.
8 x (56.01 x 3)= (8 x 56.01) x 3
Associative Property of Multiplication
200
Anna went on a quiz show. The questions in the first round were worth 8 points. The questions in the second round were worth 5 points. Anna answered a total of 6 questions and earned 33 points. How many questions did she answer in each round?
1 first-round question
5 second-round questions
300
321,000 x 120
38,520,000
300
0.009 x 1.345
0.012105
300
John is solving 0.04 x 0.9. First he makes an estimate. He writes 1 x 1=1. Is his estimate reasonable? Why or why not?
No. He should have estimated: 0 x 1=0. This would be closer to the real product.
300
Sally is practicing the Distributive Property. She rewrites the following equation using the property.
10 x 55= (10 x 50) + (0 x 5)
What mistake did she make? Rewrite 10 x 55 using the Distributive Property correctly.
She multiplied the 5 by 0, rather than by 10. It should be...
10 x 55= (10 x 50) + (10 x 5)
300
A gym owner has some purple weights and some pink weights. The purple weights are 3 kilograms each, and the pink weights are 1 kilogram each. The owner has 6 weights, and they weigh 12 kilograms in all. How many of each color weight does he have?
3 purple weights
3 pink weights
400
1,555,601 x 1,222
1,900,944,422
400
197.88 x 56.03
11,087.2164
400
Estimate the products on either side of the equation. Then fill in the blank with greater than, less than, or equal to.
1,499 x 32 ______ 1,986 x 9
1,499 x 32 is greater than 1,986 x 9
1,500 x 30 =45,000
2,000 x 10=20,000
400
Rewrite the following equations using the Distributive Property over Addition and the Distributive Property over Subtraction.
1. 8 x (20 + 1)
2. 8 x (20-1)
1. (8 x 20) + (8 x 1)
2. (8 x 20) - (8 x 1)
400
Harry made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 9 pans. Each batch of peanut butter brownies makes 1 pan. Harry made 6 batches and ended up with 30 pans of brownies. How many batches of each type of brownie did he make?
3 batches of fudge brownies
3 batches of peanut butter brownies