Units 5 & 6-Review

Place-value Chart-

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

Period-

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.)

Value-

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)

Equation-

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

Inequality-

two quantities that are not equal.

Decimal-

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.

Round-

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

Estimate-

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.

Compensation-

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.

Variable-

A letter or symbol used to represent an unknown quantity.

Factor-

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.

Powers-

A number obtained by raising a base to an exponent.

Base-

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

Exponent-

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.

Squared-

A number raised to the second power.

Cubed-

A number raised to the third power.

Addition-

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

Addend-

any number being added.

Sum-

the answer to an addition problem.

Subtraction-

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

Multiplication-

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

Multiples-

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

Product-

the answer to a multiplication problem.

Division-

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

Dividend-

a number that is being divided.

Divisor-

the number by which the dividend is being divided.

Quotient-

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.

Remainder-

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

Fact Family-

a group of related facts using the same numbers.

Unknown-

a missing value in a number sentence or equation.