What Is Five Hundredths In Decimal Form?

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To represent a fraction in decimal form, we need to divide the numerator by the denominator. In this case, we want to find the decimal equivalent of five hundredths, which is written as 5/100.

Five hundredths in decimal form is 0.05. This is because 5 divided by 100 equals 0.05.

Here's a simple division to illustrate this:

5 ÷ 100 = 0.05

So, the decimal representation of five hundredths is 0.05.

Now, let's explore more about decimals and fractions.

Understanding Decimals and Fractions

Decimals and fractions are two ways to represent part of a whole. While fractions are written with a numerator and a denominator, decimals are written with a point separating the whole part from the fractional part.

Decimals are a type of fraction where the denominator is a power of 10. For example, 0.05 is equal to 5/100, where 100 is a power of 10 (10^2).

Converting Fractions to Decimals

To convert a fraction to a decimal, we divide the numerator by the denominator. For example:

• 1/2 = 0.5
• 3/4 = 0.75
• 2/5 = 0.4

Notice that the denominator determines the number of decimal places. If the denominator is 10, the decimal has one place. If the denominator is 100, the decimal has two places, and so on.

Now that we've explored the basics of decimals and fractions, let's dive deeper into the world of hundredths.

Working with Hundredths

Hundredths are fractions with a denominator of 100. They are commonly used in everyday applications, such as measuring lengths, weights, and temperatures.

To work with hundredths, we need to understand how to add, subtract, multiply, and divide them. Let's start with addition and subtraction.

Adding and Subtracting Hundredths

When adding or subtracting hundredths, we need to line up the decimal points and add or subtract the numbers as usual.

For example:

• 0.05 + 0.03 = 0.08
• 0.05 - 0.03 = 0.02

Notice that the decimal points are lined up, and the numbers are added or subtracted accordingly.

Now, let's explore multiplication and division.

Multiplying and Dividing Hundredths

When multiplying hundredths, we multiply the numbers as usual and then place the decimal point accordingly.

For example:

• 0.05 × 2 = 0.10
• 0.05 × 3 = 0.15

Notice that the decimal point is placed two places to the left of the multiplication sign.

When dividing hundredths, we divide the numbers as usual and then place the decimal point accordingly.

For example:

• 0.10 ÷ 2 = 0.05
• 0.15 ÷ 3 = 0.05

Notice that the decimal point is placed two places to the left of the division sign.

Now that we've explored the basics of hundredths, let's summarize what we've learned.

Summary

In this article, we learned about the decimal representation of five hundredths, which is 0.05. We also explored the basics of decimals and fractions, including how to convert fractions to decimals and work with hundredths.

We learned how to add, subtract, multiply, and divide hundredths, and we saw examples of each operation.

Remember, decimals and fractions are two ways to represent part of a whole. By understanding how to work with decimals and fractions, we can solve a wide range of problems in mathematics and everyday life.

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