Final - T/F
8÷ 4 + 20 x 5 = 110
False
As defined by the order of operations, all multiplication in an expression must be completed before evaluating division.
False
Mixed numbers are not rational numbers.
False
Multiplication always increases a number.
False
The denominator represents part of the whole and is the bottom number of a fraction.
False
The distributive property works with all number classes except rational numbers. In other words, the distributive property does not apply to fractions and decimals.
False
Given the expression A ÷ B, A is called the divisor and B is called the dividend. (FIX IT IF WRONG)
False - A would be the dividend and B is the divisor.
Consider the following situation: There are 5235 tennis balls that will be put into packages of 3. How many packages can be made? This is an example of the "partitive: how many units in a group" interpretation of division. (FIX IT IF WRONG)
False - In this case, you are trying to see how many groups of 3 can be made with 5,235 tennis balls, so that is "measurement: how many groups" division.
The "scaffold method" demonstrated by Beckmann on page 240 of our text is always less efficient than the standard algorithm and should not be used by students. (FIX IT IF WRONG)
False - The scaffold method can be as efficient a strategy as the common method, depending on how it is executed by the student. It is a stepping-stone to the standard algorithm.
Given that when we multiply two whole numbers the product is always a whole number, that means that when we divide two whole numbers, the quotient is always a whole number. (FIX IT IF WRONG)
False - When we divide a whole number by another whole number the quotient might be a whole number but it doesn't have to be. Often there will be a remainder. The remainder can be expressed in a number of forms including as a fraction or a decimal.
A fraction is said to be in simplest form if there is no common factor other than one that divides both the numerator and denominator evenly.
True
An amount is 1/B of a whole if B copies of the amount joined together are the same size as the whole. (Assume that B is an integer not equal to zero.)
True
Applying the properties of arithmetic to flexibly calculate math facts is a rudimentary form of algebraic reasoning.
True
Every fraction is equal to infinitely many other fractions.
True
If A and B are whole numbers and B does not equal 0, A ÷ B is equivalent to the fraction A/B. (FIX IT IF WRONG)
True
In an equal groups multiplication problem, the multiplier can be interpreted as the number of groups.
True
In order to define what we mean by a fraction, it is important to first specify the whole, or unit, amount.
True
The following problem is an example of an ordered pair/Cartesian Product problem: Pete's Deli stocks four types of cold cuts and two types of cheese. How many different sandwiches consisting of one type of meat and one type of cheese are possible?
True
We can think of percentages as "special" types of fractions whose denominator is 100
True
When we create equivalent fractions with common denominators, we are describing the two numbers in terms of like parts of a whole.
True
When we multiply a number by 10 in the base 10 system, we are "shifting" all of the digits in the number being multiplied one place to the left.
True