M130 Exam 1

Commutative Property of Addition

Changing the order of the addends does not change the sum.

Commutative Property of Multiplication

Changing the order of the factors does not change the product.

Equal Quotients

Divide or multiply both the divisor and the dividend by the same number.

If the differences involved are whole numbers, subtraction is associative.

False

Multiplication of whole numbers is distributive over multiplication.

False

The non-zero whole numbers are closed for division.

False

The set of odd natural numbers is closed under subtraction.

False

Closure Property

For every pair of numbers in a given set, if an operation is performed, and the result is also a number in the set, the set is said to be closed for the operation.

Identity Property of Multiplication

If you multiply a number by one, the product is the same as that number.

Take Away Concept

Suppose that you have 12 stamps and give away 7. How many stamps will you have left?

Comparison Concept

Suppose that you have 12 stamps and someone else has 7 stamps. How many more stamps do you have than the other person?

Missing Addend Concept

Suppose that you have 7 stamps and you need to mail 12 letters. How many more stamps are needed?

Equal Differences

The difference between two numbers is unchanged when both numbers are increased or decreased by the same amount.

Equal Products

The product of two numbers is unchanged when one of the numbers is divided by a given number and the other number is multiplied by the same number.

Closure Property of Multiplication

The product of whole numbers is a unique whole number.

Addition is commutative

True

Addition of whole numbers is associative.

True

If the differences involved are whole numbers, multiplication is distributive over subtraction.

True

The set of even whole numbers is closed under addition.

True

The whole numbers are closed for multiplication.

True

Which number property shows that the two sides of the equation are equal? a.47 × (318 + 94) = 47 × (94 + 318) b.298 × 53 + 298 × 806 = 298× (53 + 806) c.291 + 46 + (411 + 322) = 291 + (46 + 411) + 322 d.(79 × 86) × 431 + 870 = 79 × (86 × 431) + 870

B, C, & D.

Associative Property of Addition

Changing the grouping of three or more addends does not change the sum.

Associative Property of Multiplication

Changing the grouping of three or more factors does not change the product.

Distributive Property

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

Closure Property of Addition

the sum of two real numbers is a real number

Identity for Addition

zero added to any number never changes the product.