Posts Tagged ‘decimals’
Friday, September 18th, 2009
How to Order Numeric Expressions
Description
A detailed tutorial on the ordering of numeric expressions. Step by step tutorial including several examples of how to order numeric expressions for reference.
Overview
Ordering numeric expressions is something most of you should be familiar with. When you order numbers, or numeric expressions, you either order them from the lowest number to the highest number or from the highest number to the lowest number. It’s not difficult if you know how to count. But what if you’re faced with an array of decimals, percents, mixed numbers, and fractions? How do you know which number goes where? You need to convert them all to the same – decimals are the easiest when you are converting numbers so you can order them. Then after you order them, simply replace the ones you converted back to the values that were given.
Tags: arithmetic, convert, decimals, expressions, fractions, highest, lowest, Math, mixed numbers, numbers, numeric, order, ordering numeric expressions, percents
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Tuesday, September 15th, 2009
How to Dividing Decimals
Description
A detailed tutorial on how to divide decimals. Step by step tutorial including several examples of dividing decimals for reference. It is a requirement to know how to divide decimals for all math classes.
Overview
Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be a little tricky to figure out. The operation we will be talking about is division. With division, you set it up just like any long division problem. Move the decimal over to the right on the divisor so that there is no decimal, and then you must move the decimal point over exactly that many spaces on the dividend. Then solve it just like you would any other division problem, and don’t forget about the decimal point.
Tags: arithmetic, decimal points, decimals, divide, division, Math, operations, point, quotient
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Tuesday, September 15th, 2009
How to Multiply Decimals
Description
A detailed tutorial on how to multiply decimals. Step by step tutorial including several examples of multiplying decimals for reference. It is a requirement to know how to multiply decimals for all math classes.
Overview
Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be a little tricky to figure out. The operation we will be talking about is multiplication. Normally, when performing an operation on decimals, you match up the decimal points. However, in multiplication you pretend that the decimal points don’t exist. You multiply as you normally would. However, you do need a decimal point in your final answer. You you need to perform a second operation. Count how many decimal places are in your first decimal, and then count how many there are in your second decimal. Add them together. When you get your final answer, count that many numbers (starting from the right) and then put down your decimal point that many places over.
Tags: arithmetic, decimal points, decimals, Math, multiplication, multiply, operations, point, product
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Tuesday, September 15th, 2009
How to Subtract Decimals
Description
A detailed tutorial on how to subtract decimals. Step by step tutorial including several examples of subtracting decimals for reference. It is a requirement to know how to subtract decimals for all math classes.
Overview
Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be a little tricky to figure out. The operation we will be talking about is subtraction. The most important thing to remember when doing anything with decimals is to match up the decimal points and add zeros onto the end if you need to. Then just subtract like you normally would, and remember to put your decimal point back in the right place.
Tags: arithmetic, decimal points, decimals, difference, Math, operations, point, subtract, subtraction
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Tuesday, September 15th, 2009
How to Add Decimals
Description
A detailed tutorial on how to add decimals. Step by step tutorial including several examples of adding decimals for reference. It is a requirement to know how to add decimals for all math classes.
Overview
Decimals are really no different from regular numbers when you perform operations on them, but sometimes the numbers in the decimal places can be tricky to figure out. The operation we will be talking about is addition. The most important thing to remember when doing anything with decimals is to match up the decimal points and add zeros on the end if you need to. Then just add like you normally would, and remember to put your decimal point back in the right place.
Tags: add, addition, arithmetic, decimal points, decimals, Math, operations, point, sum
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Thursday, September 10th, 2009
How to Round Numbers and Decimals
Description
This is a basic video tutorial on rounding numbers to the nearest 10, 100, and 1000. Many example problems are provided in this video.
Overview
Rounding is a very basic concept in math, but is used just as much in higher level math as in the basic classes. It is used a lot with statistics to make the information much easier to use. The basic rule of rounding is that any number 5 or over gets rounded up, and any number 4 or lower gets rounded down. This is very easy if you have to round to the nearest 10 – just round down or up accordingly. But what about rounding decimals? Decimals have the same basic principle for rounding, but can be difficult because you’re working backwards to eliminate something, not change something you already have. Let’s say you are given this decimal: 0.385630483. You want to round this down to three decimal places. So you take the very last number – 3. 3 falls in the category of 4 or lower, so the number after it does not get changed. So you can get rid of the 3. Now, look at the next number. The next number is an 8. 8 falls in the category of 5 or higher, so the number after it gets rounded up. The number after the 8 was a 4. When you get rid of the 8, you must change the 4 into a 5. So now, you look at the 5. The 5 is also in the category of 5 or above, so your next number, which was a 0, gets changed to 1. If you keep following this pattern all the way down the decimal line, your new decimal will be 0.386.
Tags: arithmetic, decimal place, decimals, Math, numbers, round, rounding
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Thursday, September 3rd, 2009
How to Convert Between Fractions, Decimals, and Percents
Description
This video gives one simple example of how to convert a percent into a fraction, and then into a decimal. It covers the decimal place chart and what to do if the number in the numerator of a fraction is a multiple of 10. Easy to follow instructions are provided.
Overview
Fractions, decimals, and percents all display the same thing, just in a different way. Depending on what you are doing, it may be easier to work with one or the other. Often, decimals are converted into fractions, fractions are converted into percents, and percents are converted into either decimals or fractions. To start out with decimals, you need to know your decimal places. 1 decimal place means 10, 2 means 100, 3 means 1000. The decimal place refers to the denominator in a fraction. The numbers that are in your decimal are the numbers in the numerator. For example, 0.28 would be written as 28/100. When you have a number over 100, it can be written as a percent. Unless otherwise specified, percents are always out of 100. That means that 28/100 would be 28%. Remember, with fractions, always convert it to be something over 10, 100, or any other multiple of 10. 100 is usually best. Once you know the system of decimals, fractions, and percents, it is not difficult to convert any of them.
Tags: arthmetic, conversion, decimal place, decimal point, decimals, denominator, fractions, Math, numerator, percents
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Thursday, September 3rd, 2009
How to Use Scientific Notation
Description
This video explains each part of scientific notation and lays it out in an easy to read format. It explains the basic concept of exponents and what multiplication by 10 does to a number, then moves onto how to solve scientific notation and how to convert regular numbers into scientific notation. Many examples are provided.
Overview
Scientific notation is a shorthand for very big and very small numbers. It consists of a number multiplied by 10 to the nth power. This power is very often a small, positive number. You use scientific notation by moving the decimal over n number of spaces and filling in any empty spaces with the number zero. To convert a number into scientific notation, move the decimal point until you create a number that is less than 10 but bigger than 0. An easier way to remember it is leave only one number before your decimal point. The number of decimal points you moved over is the number you put as the exponent. An example is 2.468 * 10^8. Move the decimal point over 6 spaces. Your number is 246800000. Now take the number 4928400000. To convert this to scientific notation, we want to create the number 4.9284. We moved the decimal point 9 spaces to get that number, so in scientific notation it is 4.9284 * 10^9.
Tags: algebra, decimals, exponents, Math, multiplication, Science, scientific notation
Posted in Algebra | No Comments »
