# What Is 1 4 In Decimal Form

What Is 1 4 In Decimal Form – The word decimal comes from the Latin word “Decem” meaning 10. In algebra, a decimal number can be defined as a number whose whole and fractional parts are separated by a decimal point. Before we learn what we mean by a decimal, it is important to remember the decimal place value system that defines the position of the tenth part in a decimal number.

If an object is divided into 100 components, each part is one hundredth of the whole. This means that –

## What Is 1 4 In Decimal Form

If we take 7 parts out of 100 equal parts of an object, then 7 parts make \$frac\$ of the total and this is written as 0.07.

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Now let’s learn about placing hundreds of decimals in the place value system. But before that, we need to remember what we mean by the decimal place value system.

We know that each place in the place value table has a value ten times the value of the next place to the right. In other words, the value of a place is one tenth of the value of the next place to the left. We note that if one digit moves one place from left to right, the value becomes the tenth (\$ frac\$ ) of its previous value and when it moves two places from left to right, the value becomes the hundredth (\$ frac\$ ) of its previous term, and so on. So if we want to go beyond the human place, i.e. the decimal, we will have to expand the place value table by entering the places of the tenths (\$ frac\$ ), the hundredths (\$ frac\$ ), the thousands (\$ frac\$ ) and so on.

A decimal number can contain an integer part and a decimal part. The following table shows the integer part and decimal part of some decimals –

Now let’s see how to read and write the hundredth decimal in the place value system.

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From the place value table above, we can see that the hundredth decimal is placed at the second digit to the right of the decimal point. Therefore, it is the hundredth position in the place value system. For example, we understand the hundredths position of some numbers.

Suppose we have the following numbers and we want to identify the digit in the hundredth place in these numbers.

Before we learn how to represent hundredths of a number, let’s remember what we mean by the term number line.

A number line is a straight horizontal line with numbers placed at equal intervals that provides a visual representation of numbers. Primary operations such as addition, subtraction, multiplication and division can be performed on a number line. Numbers increase as we move to the right of a number line and decrease as we move to the left.

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Above is a visual representation of a standard number line. As can be clearly seen, if we move from left to right, the value of the numbers increases while it decreases when we move from right to left.

We already know how to represent fractions on a number line. Now let’s represent thousands of decimals on a number line. We can understand this through an example.

To represent 7.4 on a number line, we first draw 10 lines and divide the total length between 7 and 8 into 10 equal parts.

Now we know that if an object is divided into 100 components, each part is one hundredth of the whole. This means that –

## Math 1 4 Decimal Place Value Review

Similarly, to represent 7.45 on a number line, we first draw 10 lines and divide the total length between 7.4 and 7.5 into 10 equal parts.

The steps we used above to represent thousandths on a number line can be summarized as –

The above process can be defined as – “To represent hundredths on a number line, we will first have to divide the distance between two integers into 10 equal parts to get their tenth values. Then we divide the distance again by two tenths to get the values ​​in hundredths.”

If we continue with the above steps, we can clearly see that the given decimal has separate integer parts. This means that we can only compare integer parts.

### Write (625)^ 1/4 In Decimal Form.​

If we go through the steps above, we can clearly see that given the decimal the integer part in each fraction is equal to 0. This means that we will have to compare the decimal parts.

Now we will check the far left digits in the decimal parts of 0.58 and 0.84 as 5 and 8 respectively.

Solution We have been given four decimal numbers and we need to write them in words. Let’s do them one by one.

We see that the given decimal number has 2 digits to the right of the decimal point. So, we will have to read the given decimal number to its hundredth part.

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Therefore, words such as “Zero point six three” or “Zero and Six the tenth and three hundredths” will contain 0.63

Therefore, words like “Two hundred and fifty point zero five” or “Two hundred and five hundred” will contain 250.05.

Solution We have given three values ​​in fraction form and we have to write their equivalent decimal form. Let’s do them one by one.

We can see that the given fraction has one whole number and three fractions. Each of the given fractional values ​​must be converted to the corresponding decimal value to obtain the desired number. So we must.

#### Convert 1/17 To Decimal

We can see that the given fraction has no whole number and does not have two fractional parts. It is also important to note that there is no value corresponding to a tenth of a decimal. Each of the given fractional values ​​must be converted to the corresponding decimal value to obtain the desired number. So we must.

We will put 0 for integer because there is no integer value in the given fraction.

Similarly, we will put 0 on the tenth part of a decimal number because there is no value corresponding to the tenth part of a decimal number.

We spend a lot of time researching and compiling the information on this website. If you find it useful in your research, please use the tool below to properly link or cite Helping with Math as a source. We appreciate your support! When you study mathematics, you will deal with converting values ​​from decimal form to fractional form and vice versa. Whether you rely on doing these conversions by hand or looking up the conversions for quick reference, the most important thing to remember is that a decimal and its equivalent fraction (ideally expressed in simplest form) equal the same value. Being able to quickly and accurately convert decimals like 0.25 into fractions is a useful math skill that every math student should master at some point. In this short guide, you’ll learn what 0.25 is as a fraction and, if you’re interested, the math behind how we converted 0.25 from a decimal to a fraction.

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Now that we have our immediate answer that 0.25 as a fraction is 1/4 (one fourth or quarter), let’s see why this is so.

The first step in converting any decimal to a fraction (in this case we are converting 0.25) is to look at the last digit of the decimal (the rightmost number from the decimal point) and identify its place value. For 0.25, the digit to the far right of the decimal point is 5, which is in the hundredths (1/100) place value slot.

To visually determine the place value of the last digit of 0.25, you can use a place value chart as shown in Figure 01 below.

Interested in learning how to convert any decimal to fractional form? Click here to access our free student guide: How to Convert a Decimal to a Fraction in 3 Easy Steps

## Write The Following In Decimal Form And Say What Kind Of Decimal Expansion It Has. 1124

Once you have identified the place value of the last digit of the decimal, the next step is to rewrite the decimal as a fraction with a denominator of 1 as shown below:

Now you need to multiply the numerator and denominator of this fraction by the place value identified in step one (which was 100 in this example).

After the multiplication, you are left with 0.25 as a fraction, which is 25/100. Although this result is an equivalent fraction, the result can be further reduced.

To simplify the fraction 25/100, you need to find the greatest common factor (GCF) of both the numerator (25) and the denominator (100) and divide both values ​​by that GCF. The result will be the fraction in its simplest form.

#### Write The Decimal Form Of The Following Rational Numbers On It. I)1/11. Ii)13/4. Iii) 18/7. Iv)1 2/5. V) 3

So, the final step is to take that GCF and divide it into both the numerator and denominator of the fraction 25/100 as follows:

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