**place value**

A system that gives a digit a value based on its position in a number

If you move a digit to the left, _______________

it increases by 10x the amount

If you move a digit to the right, _______________

it is now 10x smaller

**expanded form**

a way to write a number as the sum of the values of each digit

(example: 4,198 in **expanded form** is 4,000 + 100 +
90 + 8)

**standard notation **or **standard form**

the most common way of writing numbers (just digits)

**exponent**

A number used to tell how many times to multiply a base number by itself

(example: 10^{3} is also 10 x 10 x 10, which equals 1,000)
(3 is the **exponent)**

(example: 8^{2} is also 8 x 8, which equals 64) (2 is the **exponent**)

**base**

The number that is multiplied based on the exponent

(example: 10^{3} is also 10 x 10 x 10, which equals 1,000)
(10 is the **base**)

(example: 8^{2} is also 8 x 8, which equals 64) (8 is the **base**)

**power of 10**

a number that can be written as a product of 10s

(example: 10^{4} can be rewritten as 10 x 10 x 10 x 10,
which equals 10,000) (we say this **"10 to the power of 4"**)

**extended multiplication fact**

Variations of multiplication facts that involve multiplies of 10, 100, and so on

(example: an **extended multiplication fact** would be
50 x 3 or 300 x 5, instead of 3 x 5)

**estimate**

an answer close to the exact answer

**partial products multiplication**

a way to get the product of a multiplication problem by breaking the problem up into smaller chunks and adding them together

**area model multiplication**

a way to get the product of a multiplication problem by treating the numbers in the problem like the length and width of a rectangle

**measurement unit**

the unit used when measuring something in weight, length, volume, capacity, temperature, or speed

(examples: inches, centimeters, feet, pounds, ounces, hours, seconds)

**algorithm**

step-by-step instructions for how to solve a problem

(example: the **algorithm **for finding the area of a
rectangle is to multiply length times width)

**efficient**

to do something easily and quickly

**dividend**

the number in a division problem that is being divided

(example: in the problem 35 ÷ 7 = 5, the **dividend**
is 35)

**divisor**

the number in a division problem that divides another number

(example: in the problem 35 ÷ 7 = 5, the **divisor**
is 7)

**quotient**

the answer to a division problem

(example: in the problem 35 ÷ 7 = 5, the **quotient**
is 5)

**remainder**

an amount left over when one number is divided by another number

(example: if 38 books are divided into 5 equal piles, there will be
7 books in each pile with 3 books left over. The
**remainder** is 3, and the answer can be written as 38 ÷
5 = 7 R 3

**partial quotients division**

a way to divide a number in which the dividend is divided by smaller divisors first, then added together