D125 Exam Guide for Math for
Elementary Educators- with Questions
100% Correct Answers| Verified
Factorization
The process of finding the factors of a number
Divisible
The quality of producing a quotient that is an integer
Real Number
Any number on the number line. These include 0, negative and positive integers,
rational numbers, and irrational numbers like PI
Rational Number
Any number that can be represented as a fraction. Also has is any number that has
a decimal that either terminates or repeats.
Base 10 Numerals
Base 10 is a system of 10 digits (0 through 9) and their place values, including decimal
points (when applicable) They are asking for the number in 'standard form' example:
7 hundreds, 8 tens, and 4 ones= 784
Compose a Number
Make a whole from parts= Put the number in 'STANDARD FORM'
Decompose a number
Break the whole number into parts
Expanded form
a number written as the sum of each digit multiplied by its place value: 375= 300+70+5 OR
3X100 + 7X10 + 5x1
Exponents
, Sometimes called a power. It shows how many times the base number would be
multiplied by itself.
Trailing 0's
Any 0 digits in the representation of a number that have no nonzero digits to their right,
are not included.
Front End Estimation
You always round the number to the place furthest to the left (exception digits 1-2-3-
4 remain the same)
Estimation
Approximating a value for a calculation
Rounding
A method of estimating in order to make working with a number easier
Superscript
A symbol (such as a number or letter) written above and immediately to the left or right of
another character
Expression
A finite group of numbers or symbols that are connected by operations and
have mathematical validity
Commutative
a+b=b+a the property that the order of the numbers under the operation does not
change the results. Addition and Multiplication meet this requirement
associative property
A property that holds if in a multi-step expression the computations may be done in any
order. Commonly represented as (a+b)+c=a+(b+c). Addition and multiplication meet this
requirement
Rectangular Array
an arrangement of a set of objects into rows and columns
Order of Operations (PEMDAS)
Elementary Educators- with Questions
100% Correct Answers| Verified
Factorization
The process of finding the factors of a number
Divisible
The quality of producing a quotient that is an integer
Real Number
Any number on the number line. These include 0, negative and positive integers,
rational numbers, and irrational numbers like PI
Rational Number
Any number that can be represented as a fraction. Also has is any number that has
a decimal that either terminates or repeats.
Base 10 Numerals
Base 10 is a system of 10 digits (0 through 9) and their place values, including decimal
points (when applicable) They are asking for the number in 'standard form' example:
7 hundreds, 8 tens, and 4 ones= 784
Compose a Number
Make a whole from parts= Put the number in 'STANDARD FORM'
Decompose a number
Break the whole number into parts
Expanded form
a number written as the sum of each digit multiplied by its place value: 375= 300+70+5 OR
3X100 + 7X10 + 5x1
Exponents
, Sometimes called a power. It shows how many times the base number would be
multiplied by itself.
Trailing 0's
Any 0 digits in the representation of a number that have no nonzero digits to their right,
are not included.
Front End Estimation
You always round the number to the place furthest to the left (exception digits 1-2-3-
4 remain the same)
Estimation
Approximating a value for a calculation
Rounding
A method of estimating in order to make working with a number easier
Superscript
A symbol (such as a number or letter) written above and immediately to the left or right of
another character
Expression
A finite group of numbers or symbols that are connected by operations and
have mathematical validity
Commutative
a+b=b+a the property that the order of the numbers under the operation does not
change the results. Addition and Multiplication meet this requirement
associative property
A property that holds if in a multi-step expression the computations may be done in any
order. Commonly represented as (a+b)+c=a+(b+c). Addition and multiplication meet this
requirement
Rectangular Array
an arrangement of a set of objects into rows and columns
Order of Operations (PEMDAS)