Integers
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PSAT Math › Integers
What property of arithmetic is demonstrated below?
Distributive
Associative
Commutative
Transitive
Symmetric
Explanation
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
What property of arithmetic is demonstrated here?
Associative
Commutative
Transitive
Symmetric
Explanation
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
Explanation
Factor each number into prime roots:
What property of arithmetic is demonstrated here?
If 
Transitive
Associative
Commutative
Symmetric
Inverse
Explanation
The symbols express the idea that if a number is less than a second number, which is less than a third, then the first number is less than the third. This is the transitive property of inequality.
What property of arithmetic is demonstrated here?
Associative
Commutative
Transitive
Symmetric
Explanation
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
What property of arithmetic is demonstrated below?
Distributive
Associative
Commutative
Transitive
Symmetric
Explanation
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
What property of arithmetic is demonstrated here?
If
Transitive
Associative
Commutative
Symmetric
Inverse
Explanation
The symbols express the idea that if a number is less than a second number, which is less than a third, then the first number is less than the third. This is the transitive property of inequality.
Shannon decided to go to nearby café for lunch. She can have a sandwich made on either wheat or white bread. The café offers cheddar, Swiss, and American for cheese choices. For meat, Shannon can choose ham, turkey, bologna, roast beef, or salami. How many cheese and meat sandwich options does Shannon have to choose from?
10
20
25
30
35
Explanation
2 bread choices * 3 cheese choices * 5 meat choices = 30 sandwich choices
An ice cream parlor serves 36 ice cream flavors. You can order any flavor in a small, medium or large and can choose between a waffle cone and a cup. How many possible combinations could you possibly order?
72
108
144
172
216
Explanation
36 possible flavors * 3 possible sizes * 2 possible cones = 216 possible combinations.
Shannon decided to go to nearby café for lunch. She can have a sandwich made on either wheat or white bread. The café offers cheddar, Swiss, and American for cheese choices. For meat, Shannon can choose ham, turkey, bologna, roast beef, or salami. How many cheese and meat sandwich options does Shannon have to choose from?
10
20
25
30
35
Explanation
2 bread choices * 3 cheese choices * 5 meat choices = 30 sandwich choices