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 five significant figures (100.43), so there will be five digits multiplied by the base ten term.

To generate the single-digit leading term the decimal must be placed after the 1 (1.0043). Then count the digits to the right of the decimal to determine the change in decimal placement (the decimal moves past the two zeroes). Our ten will be raised to the power of two because there are two digits to the right of the final decimal placement.

Our final answer is

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.

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.

Converting a value from scientific notation to standard notation is a simple matter of multiplication.

Since we are always multiplying by a base ten term, the value of the exponent determines the increase/decrease in terms of orders of magnitude. In this case, an exponent of 4 indicates a four-fold increase in order of magnitude. Some may find it easiest to determine the answer by simply adjusting the decimal four digits to the right, adding zeroes as necessary.

Whether you choose to multiply or to simply shift the decimal, the final answer will be .

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.