Decimal Places Value Chart
Practice and improve your understanding of decimal place values with our interactive Decimal Places Value Chart. Enter a number and visualize the digits in their respective columns, from tenths to hundred thousandths.
Interactive Decimal Places Value Chart
| Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Tenths | Hundredths | Thousandths | Ten Thousandths | Hundred Thousandths |
Enter a number above to see its digits displayed in the corresponding place value columns in the chart.
If you prefer to practice decimal place values with a pan and paper we have a printable decimal place values chart below. This chart displays the place value of decimal numbers from the ones place all the way down to the millionth place. It's a great tool to help students understand the concept of decimal place values and how they relate to each other. The chart is easy to read and can be printed out for use in the classroom or at home.
| Click to Download this Printable Decimal Values Chart |
To use this chart, start by printing it out and keeping it handy while you're working with decimal numbers. When you're given a number to work with, look at the digits after the decimal point and use the chart to determine the place value of each digit.
For example, if you're given the number 3.752, you can use the chart to see that the 7 is in the tenths place, the 5 is in the hundredths place, and the 2 is in the thousandths place. This tells you that the number 3.752 can be expressed as:
3 + 7/10 + 5/100 + 2/1000
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By using the decimal values chart, you can break down complex decimal numbers into smaller, more manageable parts. This can help you to better understand how decimals work, and can make it easier to perform calculations and solve problems involving decimal numbers.
For example, if you're given the number 3.752, you can use the chart to see that the 7 is in the tenths place, the 5 is in the hundredths place, and the 2 is in the thousandths place. This tells you that the number 3.752 can be expressed as:
3 + 7/10 + 5/100 + 2/1000
​
By using the decimal values chart, you can break down complex decimal numbers into smaller, more manageable parts. This can help you to better understand how decimals work, and can make it easier to perform calculations and solve problems involving decimal numbers.
​Mastering Decimal Place Values
Understanding decimal place values is essential for students as it forms the foundation for a strong grasp of mathematics. This skill not only improves calculation accuracy but also simplifies complex math problems. In this blog post, we will delve into the basics of decimal place values, explore some practical examples, and discuss tips for mastering this essential math skill.
Basics of Decimal Place Values
A decimal number is a number that includes a decimal point. The digits to the left of the decimal point represent whole numbers, while the digits to the right represent fractional parts of a whole number. Decimal place values refer to the position of each digit relative to the decimal point.
Here's a breakdown of the most common decimal place values:
Here's a breakdown of the most common decimal place values:
- Tenths (0.1) - The first digit to the right of the decimal point.
- Hundredths (0.01) - The second digit to the right of the decimal point.
- Thousandths (0.001) - The third digit to the right of the decimal point.
- Ten thousandths (0.0001) - The fourth digit to the right of the decimal point.
- Hundred thousandths (0.00001) - The fifth digit to the right of the decimal point.
Practical Examples
Let's look at some examples to illustrate decimal place values:
Example 1: The number 12.345 can be broken down as follows:
1 (Tens place) - 1 x 10 = 10 2 (Ones place) - 2 x 1 = 2 . (Decimal point) 3 (Tenths place) - 3 x 0.1 = 0.3 4 (Hundredths place) - 4 x 0.01 = 0.04 5 (Thousandths place) - 5 x 0.001 = 0.005
Adding these values together, we get 10 + 2 + 0.3 + 0.04 + 0.005 = 12.345.
Example 2: The number 0.00789 can be broken down as follows:
0 (Ones place) - 0 x 1 = 0 . (Decimal point) 0 (Tenths place) - 0 x 0.1 = 0 0 (Hundredths place) - 0 x 0.01 = 0 7 (Thousandths place) - 7 x 0.001 = 0.007 8 (Ten thousandths place) - 8 x 0.0001 = 0.0008 9 (Hundred thousandths place) - 9 x 0.00001 = 0.00009
Adding these values together, we get 0 + 0 + 0 + 0.007 + 0.0008 + 0.00009 = 0.00789.
Let's look at some examples to illustrate decimal place values:
Example 1: The number 12.345 can be broken down as follows:
1 (Tens place) - 1 x 10 = 10 2 (Ones place) - 2 x 1 = 2 . (Decimal point) 3 (Tenths place) - 3 x 0.1 = 0.3 4 (Hundredths place) - 4 x 0.01 = 0.04 5 (Thousandths place) - 5 x 0.001 = 0.005
Adding these values together, we get 10 + 2 + 0.3 + 0.04 + 0.005 = 12.345.
Example 2: The number 0.00789 can be broken down as follows:
0 (Ones place) - 0 x 1 = 0 . (Decimal point) 0 (Tenths place) - 0 x 0.1 = 0 0 (Hundredths place) - 0 x 0.01 = 0 7 (Thousandths place) - 7 x 0.001 = 0.007 8 (Ten thousandths place) - 8 x 0.0001 = 0.0008 9 (Hundred thousandths place) - 9 x 0.00001 = 0.00009
Adding these values together, we get 0 + 0 + 0 + 0.007 + 0.0008 + 0.00009 = 0.00789.
Tips for Mastering Decimal Place Values
- Practice, practice, practice: Like any skill, practice is key to mastering decimal place values. Work with a variety of decimal numbers, and break them down into their respective place values.
- Use visual aids: Create or find a decimal place value chart to help visualize the position of each digit relative to the decimal point. This can be a helpful reference tool when working with decimal numbers.
- Understand the relationship between fractions and decimals: Recognize that decimals are a way to represent fractions with denominators that are powers of 10 (e.g., 1/10, 1/100, 1/1000). Understanding this relationship can help solidify your grasp of decimal place values.
- Apply real-life scenarios: Practice using decimal place values in real-life situations, such as calculating discounts, measuring distances, or converting units. This will help reinforce the importance and practicality of understanding decimal place values.
- Use online resources: Leverage online tools, games, and tutorials to help improve your understanding of decimal place values. Many websites offer interactive exercises that can make learning and practicing more engaging and enjoyable.
- Teach others: Teaching a concept to someone else can help solidify your understanding of that concept. Try explaining decimal place values to a friend or family member, and help them work through examples to ensure you have a strong grasp of the subject.
- Be patient: Mastering decimal place values can be challenging, especially if you're new to the concept or if you struggle with math in general. Be patient with yourself, and don't be afraid to ask for help from teachers, tutors, or peers.
​Decimal Place Value Examples
​Example 1: Write the digit in the hundredths place for the given number: 39.546
Solution: If we refer to the decimal place value chart, we can see the place value of all the numbers. The decimal chart shows that 3 comes under the tens place, 9 comes under the ones place, 5 comes under the tenths place, 4 comes under the hundredths place, and 6 comes under the thousandths place. Therefore, the digit in the hundredths place is 4.
Example 2: Write the digit in the tenths place for the given number: 0.062
Solution: The decimal chart shows that 0 comes under the ones place, 0 comes under the tenths place, 6 comes under the hundredths place, and 2 comes under the thousandths place. Therefore, the digit in the tenths place is 0.
Example 3: Write the digit in the thousandths place for the given number: 2.3456
Solution: The decimal chart shows that 2 comes under the ones place, 3 comes under the tenths place, 4 comes under the hundredths place, 5 comes under the thousandths place, and 6 comes under the ten thousandths place. Therefore, the digit in the thousandths place is 5.
Example 4: Write the digit in the ones place for the given number: 157.82
Solution: The decimal chart shows that 1 comes under the hundreds place, 5 comes under the tens place, 7 comes under the ones place, 8 comes under the tenths place, and 2 comes under the hundredths place. Therefore, the digit in the ones place is 7.
Example 5: Write the digit in the tens place for the given number: 73.964
Solution: The decimal chart shows that 7 comes under the tens place, 3 comes under the ones place, 9 comes under the tenths place, 6 comes under the hundredths place, and 4 comes under the thousandths place. Therefore, the digit in the tens place is 7.