MTH 107 exam things to remember

When estimating a sum, increasing one addend can be offset by ______ the other addend by an equivalent amount.

Decreasing

To balance a subtraction estimate, an increase to the minuend should be offset by an equivalent ______ to the subtrahend.

Increase

Doubling the dividend doubles the quotient. is true because,

(2a)⁄b = 2(a⁄b) when b ≠ 0.

Which of the following is true about -a?

−a could be positive, negative or zero.

To determine if the number n is a prime number, you need to test all the prime numbers less than or equal to _____

√n.

Which of the following is the multiplicative inverse of -5⁄7?

-7⁄5

The number 15^2 has ______ factors.

15^2 = 3^2 × 5^2 has (2 + 1)(2 + 1) = 9 factors.

What is the value of 10^-3?

1⁄1000 The exponent tells you how many times to multiply the base times itself. The negative in the exponent is telling you to take the reciprocal of the base.

A "basimal" place value is similar to a decimal value in base-ten. The basimal number 0.02 , is the fraction ______ in base-three.

2/9

for a fraction to be a terminating decimal, the denominator needs to have only___ and ____ as its factors

2s and 5s

The value of the 3 in 2.34five is ______.

3/5

he value of the 4 in 2.34five is ______.

4/25

For any number x, x is always greater than −x.

FALSE because, Consider x = −2. Now what is the value of −x?

how to convert a terminating decimal into its fractional equivalent?

Put the decimal number in the numerator and a power of ten in the denominator that matches the place value (10 for tenths, 100 for hundredths, etc.)

Modeling with mathematics

Showing usage of mathematical process

partial products.

These are the preliminary results of a multiplication problem that are added together to get the final product.

When multiplying fractions, you can simplify by factoring the numerators and the denominators and then canceling the common numerator factors with denominator factors before multiplying straight across.

True, because this describes a process for simplifying the fraction using the identity property before multiplying the numbers together, so it won't change the final product.

Modeling of mathematics means

Using models to justify the meaning of our math process

To develop a sense of the size of something, it is helpful to have a reference amount that is often called:

a benchmark.

regrouping describes

a concept that deconstructs a number into parts that are alternatives to the number's place values.

The decimal point indicates the split between the whole numbers and the ______ numbers.

decimal

A ______ measures ten meter lengths.

dekameter

When considering a part-whole view of fractions, having a common ______ means that the whole, associated with each fraction, has been cut into equal-sized pieces.

denominator

A ______ is more abstract than a picture because it usually does not have extraneous information and takes less time to draw.

diagram

In 12 = 6 ÷ 1⁄2, the 6 can be considered the:

dividend.

Adding the same amount to the minuend and the subtrahend does not change the remainder. This is called ______ ______ (two words).

equal addition

A ______ of a number divides into a number without leaving a remainder.

factor

In the number 123.456, the ______ position is represented by the 3, not by the decimal point.

focal

Equivalent decreases to the minuend and the subtrahend will ______ the value of the difference.

have no effect on

finding an estimate before multiplying two decimal numbers will

help you know if you put the decimal in the right place.

Increasing both factors ______ the product.

increases

Together, the rational numbers and the ______ numbers make up the set of real numbers.

irrational

Nonterminating, nonrepeating decimals make up the set of:

irrational numbers.

How many factors does m = 2^5 × 7^4 have?

m has (5 + 1)(4 + 1) = 30 factors.

A quantity is anything (an object, event, or quality thereof) that can be ______ or counted.

measured

If m is a factor of n, then n can be written as n = m × p. Thus, n is a ______ of m.

multiple

The missing factor view of division is for divisions that are based on

multiplication settings where a factor is missing but the product is known. In this problem the number of parents (p) is unknown factor in the multiplication problem p × 12 = 60.

When multiplying a whole number by a fraction, ______ by the numerator and divide by the denominator.

multiply

A _______ represents how many or how much.

number

A variety of words and special symbols, called ______, have been used to communicate number ideas.

numerals

Every whole number can be written as a fraction by putting the whole number in the ______ and putting the number 1 in the denominator.

numerator

Every fraction can be written as a decimal by dividing the ______ by the ______. Your answer should be two words separated by a comma.

numerator, denominator

When we make an intelligent estimate, not just a random guess, this is called:

numerosity.

There are 20 children and 5 large apples. The fraction 5⁄20 in this situation represents a:

partitive-division fraction.

Our Hindu-Arabic base-ten numeration system uses ______ values. This means that each digit has a prescribed a value based upon its position in the numeral.

place

to understand a problem situation means to understand the _________ embedded in the situation and how they are related to one another.

quantities

Fractions and their equivalent terminating or repeating decimals make up the set of:

rational numbers.

Factors between 0 and 1 produce a product _______ than both factors.

smaller

We use some symbols along with our numerals such as a ______ sign, π, or i, to represent irrational or imaginary numbers.

square root

A______ diagram can be used for large numbers.

strip

When estimating a product, the amount added to one factor should be counterbalanced by the amount ______ the other factor.

subtracted from

For all real numbers a, a + 0 = 0 + a = a. Therefore, 0 is

the additive identity.

What property? a(bc) = (ab)c.

the associative property

What property? ab = ba.

the commutative property

What property? a(b + c) = ab + ac

the distributive property

name of the property that is used to write (−2 + 3) × 5 = (−2) × 5 + 3 × 5?

the distributive property of multiplication over addition

the following describes what: A setting in which a whole number n quantities, with the same value q, are combined additively.

the repeated-addition view of multiplication

Students are asked to close their eyes and then open them after a minute has gone by. The referent is:

the time they closed their eyes.

True or False: When multiplying two signed numbers, the product will be positive if the signs of the two numbers are the same.

true

Using the fraction 8⁄2, which continuous model best fits for partitive-division, or equal-share, representation?

two four-pound bags of flour

The _____ is the measurement or count label, such as inches, meters, people, or dollars.

unit

The _______ of a quantity involves a number and its unit of measure or counting unit.

value

Doubling a factor doubles the product. Because of what property

associative

quantitative analysis.

analyzing a situation in terms of the quantities and the relationships present in order to gain an understanding that can lead to a meaningful solution.

A set of numbers is dense if, for every choice of two different numbers from the set, there is always

another number from the set that is between them (the density property).

When quantities are combined additively, they are joined together. This is called additive ______.

combination

A ______ of both the numerator and the denominator can be "ignored" to create a simpler form of a fraction.

common factor

This action involves thinking about two quantities as one quantity: girls + boys = children is a

conceptual combination

If the sum of two numbers is 0, each number is the a_____ ________ of the other number.

dditive inverse