ILTS Content Test Elementary Ed(305)-
Part 2/6 100% ACCURATE
integers - ANSWER any positive or negative whole number, including zero; not including fractions or
decimals or mixed numbers
prime numbers - ANSWER any whole number greater than 1 that has only 2 factors, itself as 1; number
can be divided evenly only by 1 and itself
composite number - ANSWER any whole number greater than 1 that has more than 2 different factors
even number - ANSWER Any integer that can be divided by 2 without leaving a remainder
odd number - ANSWER any integer that cannot be divided evenly by 2
decimal number - ANSWER any number that uses a decimal point to show the part of the number that is
less than one. Example: 1.234.
decimal place - ANSWER a symbol used to separate the ones place from the tenths place in decimals or
dollars from cents in currency
decimal - ANSWER based on the number 10
rational number - ANSWER includes all integers, decimals and fractions; any terminating or repeating
decimal number is a rational number
irrational number - ANSWER Any real number which cant be expressed as a fraction of two integers
real numbers - ANSWER the set of all rational and irrational numbers
,number line - ANSWER A line for representing and graphing numbers. Each point on the line corresponds
to a number.
numbers in word form and place value example - ANSWER *10^3=1,000=thousands
absolute value - ANSWER The distance a number is from zero on a number line. ALWAYS POSITIVE
operation - ANSWER A mathematical process such as addition, subtraction, multiplication, or division.
addition - ANSWER increases the value of one quantity by the value of another quantity
*result=sum
subtraction - ANSWER decreases the value of one quantity by the value of another quantity
*result=difference
multiplication - ANSWER repeated addition; one number indicates how many times to add to the other
number to itself
division - ANSWER opposite of multiplication
parantheses - ANSWER first step in order of operations
exponents - ANSWER The number that is small and raised to show how many times to multiply the
number by itself.
roots - ANSWER another way of writing fraction exponents
, perfect square - ANSWER a number that is the square of an integer
ex: 1,4,9,16,25,36,49,64,81,100
order of operations - ANSWER the order in which operations in an expression to be evaluated are carried
out. 1. parentheses 2. exponents 3. multiplication and divison 4. addition and subtraction
subtraction with regrouping - ANSWER a great way to make use of some of the features built into the
decimal system when attempting longform subtraction operations
*enables you to "borrow" a unit from a place value to the left in order to get a positive difference when
subtracting
how to subtract 189 from 525 using regrouping - ANSWER 1. set up problem in vertical form
525
-189
------
*notice numbers in the ones and tens columns of 525 are smaller than the numbers in the ones and tens
columns of 189; means you need to use regrouping before subtracting
2. to subtract 9 from 5 in ones column you will need to borrow from 2 in tens column
5 1 15
-1 8 9
-------
6
, 3. next to subtract 8 from 1 in the tens column, you will need to borrow from the 5 in the hundred's
column
4 11 15
-1 8 9
-------
36
4. subtract 1 from 4 in hundreds column
4 11 15
-1 8 9
---------
336
factor - ANSWER a number that is multiplied by another number to find a product
prime number - ANSWER A whole number that has exactly two factors, 1 and itself.
common factor - ANSWER A number that is a factor of two or more numbers
prime factor - ANSWER A factor that is a prime number.
greatest common factor - ANSWER The largest factor that two or more numbers have in common.
least common multiple - ANSWER The smallest multiple (other than zero) that two or more numbers
have in common.
fractions - ANSWER a number that expresses parts of a whole or a group
Part 2/6 100% ACCURATE
integers - ANSWER any positive or negative whole number, including zero; not including fractions or
decimals or mixed numbers
prime numbers - ANSWER any whole number greater than 1 that has only 2 factors, itself as 1; number
can be divided evenly only by 1 and itself
composite number - ANSWER any whole number greater than 1 that has more than 2 different factors
even number - ANSWER Any integer that can be divided by 2 without leaving a remainder
odd number - ANSWER any integer that cannot be divided evenly by 2
decimal number - ANSWER any number that uses a decimal point to show the part of the number that is
less than one. Example: 1.234.
decimal place - ANSWER a symbol used to separate the ones place from the tenths place in decimals or
dollars from cents in currency
decimal - ANSWER based on the number 10
rational number - ANSWER includes all integers, decimals and fractions; any terminating or repeating
decimal number is a rational number
irrational number - ANSWER Any real number which cant be expressed as a fraction of two integers
real numbers - ANSWER the set of all rational and irrational numbers
,number line - ANSWER A line for representing and graphing numbers. Each point on the line corresponds
to a number.
numbers in word form and place value example - ANSWER *10^3=1,000=thousands
absolute value - ANSWER The distance a number is from zero on a number line. ALWAYS POSITIVE
operation - ANSWER A mathematical process such as addition, subtraction, multiplication, or division.
addition - ANSWER increases the value of one quantity by the value of another quantity
*result=sum
subtraction - ANSWER decreases the value of one quantity by the value of another quantity
*result=difference
multiplication - ANSWER repeated addition; one number indicates how many times to add to the other
number to itself
division - ANSWER opposite of multiplication
parantheses - ANSWER first step in order of operations
exponents - ANSWER The number that is small and raised to show how many times to multiply the
number by itself.
roots - ANSWER another way of writing fraction exponents
, perfect square - ANSWER a number that is the square of an integer
ex: 1,4,9,16,25,36,49,64,81,100
order of operations - ANSWER the order in which operations in an expression to be evaluated are carried
out. 1. parentheses 2. exponents 3. multiplication and divison 4. addition and subtraction
subtraction with regrouping - ANSWER a great way to make use of some of the features built into the
decimal system when attempting longform subtraction operations
*enables you to "borrow" a unit from a place value to the left in order to get a positive difference when
subtracting
how to subtract 189 from 525 using regrouping - ANSWER 1. set up problem in vertical form
525
-189
------
*notice numbers in the ones and tens columns of 525 are smaller than the numbers in the ones and tens
columns of 189; means you need to use regrouping before subtracting
2. to subtract 9 from 5 in ones column you will need to borrow from 2 in tens column
5 1 15
-1 8 9
-------
6
, 3. next to subtract 8 from 1 in the tens column, you will need to borrow from the 5 in the hundred's
column
4 11 15
-1 8 9
-------
36
4. subtract 1 from 4 in hundreds column
4 11 15
-1 8 9
---------
336
factor - ANSWER a number that is multiplied by another number to find a product
prime number - ANSWER A whole number that has exactly two factors, 1 and itself.
common factor - ANSWER A number that is a factor of two or more numbers
prime factor - ANSWER A factor that is a prime number.
greatest common factor - ANSWER The largest factor that two or more numbers have in common.
least common multiple - ANSWER The smallest multiple (other than zero) that two or more numbers
have in common.
fractions - ANSWER a number that expresses parts of a whole or a group
