**A division problem can be thought of as a number being "cut" into pieces. The**

Dividing Fractions:Dividing Fractions:

*dividend*is being cut into the number of pieces determined by the

*divisor*. The result is called the

*quotient*. Whoa! That's alot to think about. Let's break it down... Get it... Break it down... It's Division! Okay, Never Mind.

There are a few ways to divide fractions. The most common way is to multiply the first fraction by the reciprocal of the second fraction (

**Keep**the first fraction the same -

**Change**to multiplication -

**Flip**the second fraction).

**This one is Easy Cheesy- Lemon Squeezy! All you do is multiply straight across (top x top) and (bottom x bottom). You may have to reduce after multiplying.**

*Multiplying Fractions:*

*Addition of Multi-Digit Numbers*When adding numbers with more than one digit, it is important to line up the place values of the numbers. Then add starting with the last place value. Remember to carry into the next place value.

**With Decimals**Line up the decimals then add the same way. The answer will have a decimal in the same location.

*Subtraction of Multi-Digit Numbers*

*& Decimals*Line up the decimals then subtract starting with the last place value. You may need to borrow from the next place value. Remember that when you borrow, you are borrowing 10, not just 1.

*Multiplication of Multi-Digit Numbers & Decimals*In order to multiply numbers with more than one digit begin by multiplying the last digit in each number. Carry over any answer that has more than one digit. This carried over amount will be added to the next product in line. Make sure to use a zero as a place holder. If your numbers have decimals, add up the decimal places for all the numbers. After finishing the multiplication, add the columns. The decimal will be placed into the answer the same number of times that you counted.

**Division of Multi-Digit Numbers**Dividing numbers that have decimals is done by getting rid of the decimal in the divisor (outside of symbol). To get rid of the decimal, move the decimal to the end of the number. Now move the decimal in the dividend (under the symbol) the same number of times. You may have to add some zeroes to the end of the number to make this possible. Then divide as usual.

*Exponents*There are two parts to a number with an exponent. The big number is called the "Base". This is the number that will be multiplied. The smaller number that is lifted up is the "Exponent or Power". The Power tells us how many times to write the base. Then we multiply. This example would be "4 raised to the power of 3". As you can see, 4 is written 3 times. Then 4 is multiplied. So 4 raised to the power of 3 = 64.

There are a few different ways to write numbers with exponents.

__is when the number is written with a base and a power.__

*Exponential Form*__is when the number is written out using multiplication.__

*Expanded Form*__is the answer after the number has been multiplied.__

*Standard Form*