Any time we write a number in scientific notation, we want to keep the same number of significant figures, but have the decimal end up where it was in the original number. For the number 13,200, we have 3 significant figures: 1,3, & 2. So right now what we have is 132; our next step is to insert a decimal somewhere on 132 that would turn it into a number between 1-10. We are left with 1.32 To get to 1.32, we have to move the nonexhistent decimal from the end of 13200 four places to the left. Anytime we move decimals to the left, the exponent in scientific notation gets larger.

Scientific notation is used to simplify exceptionally complex numbers and to quickly present the number of significant figures in a given value. The value is converted to an exponent form using base ten, such that only a single-digit term with any given number of decimal places is used to represent the significant figures of the given value. Non-significant zeroes can be omitted from the leading term, and represented only in the base ten exponent.

The given number has only one significant figure (), so there will only be one digit multiplied by the base ten term.

There are two non-significant zeroes, so our ten will be raised to the power of two.

Our final answer is 

Scientific notation is used to simplify exceptionally complex numbers and to quickly present the number of significant figures in a given value. The value is converted to an exponent form using base ten, such that only a single-digit term with any given number of decimal places is used to represent the significant figures of the given value. Non-significant zeroes can be omitted from the leading term, and represented only in the base ten exponent.

The given number has only one significant figure (), so there will only be one digit multiplied by the base ten term.

To generate the single-digit leading term the decimal must be placed after the 4. Then count the digits to the left of the decimal (moving from right to left, these are  and ). Our ten will be raised to the power of negative two because there are two digits to the left of the final decimal placement.

Our final answer is .

Scientific notation is used to simplify exceptionally complex numbers and to quickly present the number of significant figures in a given value. The value is converted to an exponent form using base ten, such that only a single-digit term with any given number of decimal places is used to represent the significant figures of the given value. Non-significant zeroes can be omitted from the leading term, and represented only in the base ten exponent.

The given number has three significant figure () so we write out number as 

You must move the decimal place two places to the right, or in other words multiply by . When you move the decimal place to the right, you multiply the number by , so it is .

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer. 

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer. 

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer. 

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer. 

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer. 

The first step to solving this problem is to combine like terms:

Next, we can solve our two separate multiplication problems starting with the expression on the left:

In order to solve the next expression, we need to recall our exponent rules from a previous lesson:

When our base numbers are equal to each other, like in this problem, we can add our exponents together using the following formula:

Let's apply this rule to our problem:

The question asked us to leave our answer in scientific notation; thus,  is the correct answer.