Decimal values are used to whole numbers and fractional parts in a single string. The decimal point is used to separate the whole and fractional (less than 1) values of the numbers. The whole numbers are found to the left of the point and the fractional portion to the right of it. As we move to the left of the integers found in the value each successive move is 10 times greater than the previous place value. As we move to each successive place value to the right the value is ten less for each move. There are 2 different categories of decimals they come in a terminating and nonterminating form. Terminating form means that the value ends in a finite number of place values. The nonterminating form means that the number carries on infinitely. You will find that there are many uses of nonterminating values used in the financial world to get everything a company could get out of their buyers. This section of our site really covers the concepts of decimals, conversion, and the use of place values well here. Don't just take our word for it, this particular section has been cited by a number of educational editors including the Times and Herald.
- Adding and Subtracting Percentages and Decimals - We show you how to convert the values to like terms and then find the sum or difference.
- Addition of Decimals - It is all about place value and keeping track of them here.
- Adding and Subtracting Decimals and Fractions - There are some conversion tips included here.
- Approximating Values - You guessed it, there are plenty of value that contain a decimal point.
- Basic Math Operations with Decimals - This really focuses students on making sure that they stay organized throughout the problem.
- Basic Operations with Decimals - We look at how the type of math operation can affect how you approach a problem.
- Compare Percentages and Decimals - The best way to compare these values is to make sure that they are represented in the same terms.
- Compare Two Decimals (to the hundredths place) - That is the second place to the right of the decimal place.
- Compare Two Decimals To Thousandths - We focus on the place value that is three to the right of the decimal point.
- Convert Rational Numbers to Decimals - We approach this for a variety of different ways.
- Conversion Between Decimals, Fractions, Percentages - We go through all of the different methods for doing this, but I prefer decimal values.
- Decimal Division - Being very organized and methodical in your approach is fundamental here.
- Decimal Multiplication - Before you perform the calculation make note of what place value is performing the operation.
- Decimal Subtraction - One of the easier operators to work with. The only difficulty arises when you have to carry values across place values.
- Decimal Word Problems - All of these stories have decimal values included.
- Decimal Notation for Fractions (10 or 100 Denominators) - The denominator for all these fractions is either tens or hundreds. This is a simple conversion for most students.
- Decimals in Numeric, Word, and Expanded Form - This section will serve you well for most physical science classes.
- Denominators of Tenths and Hundredths - We add a bit of comparison as well as place value tracks here.
- Estimating Decimal Sums and Differences - The major value here is to determine which column to focus your estimate on.
- Finding the Percentage of a Decimal Value - This relates a great deal to sales and deals. You will see a price on a tag and need to apply this math to determine how much you will need to pay.
- Identifying Place Values with Decimals - This is one of the early topics you should hit on for this section.
- Irrational Numbers and Decimal Expansion - This is a must for upper levels of algebra.
- Place Value: Understanding How to Round Decimals - This series is a foundational body of work that we all need to master at some point.
- Powers of Ten - These worksheets are much more application based and you will see how we pair it with science topics.
- Rounding Decimals - Knowing which column to use is your goal here.
- Rounding Up and Down - In most cases, you will be the one determining if a value should go up or down.
- Visual Conversions Between Fractions, Decimals, and Percents - This is a great way to learn how all these formats intersect with one another.
- Visualizing Decimals - How do you see this in space? This section brings decimals to life.
- Writing and Recognizing Decimals in Expanded Form - This really gives you a solid sense of what a value is made up of.
What are Decimals?
A decimal is that number, which is expressed on a scale that is based on the concept of tens or base ten. As you find numbers in a linear direction each movement of a digit is a difference of ten. If you move to the left the digits increase by value of ten for each place. If you move to the right, the digits decrease by a value of ten for each movement. The number that is locate to the left of the decimal point signifies the ones places. We can consider this the starting point for everything. Decimals can be used to form of value that can express the concept of a fraction or mixed numbers. In other words, decimals are those numbers that include decimal points to represent a number including the fraction of a whole number in the form of tenths, hundredths, thousandths and so on.
Let us learn how to represent decimals where we separate the whole part of the number with the fractional part or value that is less than one for the number. In example 56.7, there are 5 tens, 6 ones and 7 tenths. In other words, if we have to add all of these numbers, they can be written as:
50 + 6 + 7/10.
The trick is to learn the concept of place value, given that each digit is essential in a decimal number. The position of the decimal point will determine the quantity and meaning of a number.
Where Do We Use Decimals in Daily Life?
In the typical day an average adult will use the cross paths will a decimal value on at least a dozen occasions. Whenever we are working with a unit that is less than one whole unit, it can be expressed as a decimal, whether we choose to or not. The most used form of the decimal form is found when dealing with money. We always think in terms of dollars and cents. In decimal form dollars are found to the left of the decimal point and cents to the right.
When we are working with just about any form of digital scale whether it measures distance or weight, decimal values are the preferred format of choices because it is simple to produce because it is a straight string of numbers in a row. The same is true of just about calculator that you will use to perform basic or complex calculations.