Units 5 & 6-Review

Place-value Chart-

a chart that shows the value of the digits in a number.


each group of three digits on a place-value chart that are separated by a comma.

Place or Place Value-

the value given to a digit by its position in a number. (Ones place, tens place, etc.)


a number amount or the worth of an object. (The 3 in the number 13,295 is worth 3,000)

Standard Form-

the usual or common way to write a number using digits. (5,413)

Expanded Form-

a way of writing a number as the sum of the values of its digits. (1,263 = 1,000+200+60+3)


a number sentence that contains an equal sign, showing that two expressions are equal.


two quantities that are not equal.


a number that has a digit in the tenths place, hundredths place, and beyond.

Decimal Point-

a period separating the ones and tenths in a decimal number. (0.8 or $3.77)

Equivalent Decimals-

decimals that have the same value. (0.3 = 0.30)

Whole Number-

the numbers 0,1,2,3,4, and so on.


To change the value of a number, based on a given place value, to one that is easier to work with.


A number close to an exact value. It indicates about how much. Ex. 47 + 22 could be 50 + 20

Compatible Numbers-

Numbers in a problem that are easy to work with mentally.


Adding a number to one addend and subtracting the same number from another addend to add mentally.

Associative Property-

The property that states that the way in which numbers are grouped dos not change the sum or product.

Commutative Property-

The property that states that the order in which numbers are added OR multiplied does not change the sum OR product.

Identity Property-

The property that states that the sum of any number and 0 equals the # and that the product of any number a 1 equals the #.

Distributive Property-

The property that states that in order to multiply a sum by a #, you can mult. each addend by the same # and add the products.


A letter or symbol used to represent an unknown quantity.


A number that is multiplied by another number.

Prime Number-

A whole number with exactly two factors, 1 and itself.

Composite Number-

A whole number that has more than two factors.

Prime Factorization-

A way of expressing a composite number as a product of its prime factors.

Factor Tree-

A diagram that shows the prime factorization of a composite number.


A number obtained by raising a base to an exponent.


In a power, the number used as a factor. It's the larger, bottom number.


In a power, the number of times the base is used as a factor. It's the smaller, "floating" number.

Power of 10-

A number like 10, 100, 1,000, and so on. It is the result of using only 10 as a factor.


A number raised to the second power.


A number raised to the third power.


an operation on two or more addends that results in a sum.


any number being added.


the answer to an addition problem.


an operation on two numbers that tells how many are left (difference). It is also used to compare two numbers.


an operation on two numbers to find their product. It can be thought of as repeated addition.


the product of a number and any whole number. Counting by a number (ex.- 3,6,9,12,15,18, etc.)


the answer to a multiplication problem.


an operation on two numbers in which the first number is split into the same # of equal groups as the second #.


a number that is being divided.


the number by which the dividend is being divided.


the result, or answer, to a division problem.

Partial Quotients-

a method of dividing where you break the dividend into addends that are easy to divide.


that number that is left after one whole number is divided by another.

Fact Family-

a group of related facts using the same numbers.


a missing value in a number sentence or equation.