# Introducing Decimals: Tenths and Hundredths

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Basics on the topic
**Introducing Decimals: Tenths and Hundredths**

## Decimal Place Value: Tenths and Hundredths

What is a decimal? A **decimal number** represents an equal part of a whole, just like a fraction. A place value chart can help write decimals. Here, we have a place value chart with tenths and hundredths. Since we know a decimal is an equal part of a whole, a number that has a digit in the tenths place hundredths place or beyond is always less than one whole.

You might be thinking: what is the tenths place in a decimal? You also might be thinking: what is the hundredths place in decimals? The next section will focus on tenths on a place value grid and hundredths on a place value grid.

## Decimal Place Value – Tenths

What is a decimals tenths place? Before we learn about what is tenths place in a decimal, let’s take a look at where is the tenths place in decimals. The tenths decimal place is the place value to the *right* of the decimal point. Take a look at the illustration below and find where's the tenths place in a decimal and which digit is in the tenths place.

Tens | Ones | . | Tenths | Hundredths |
---|---|---|---|---|

0 | 0 | . |
4 |

Where is the tenths place in a decimal? The tenths place is the place value to the *right* of the decimal point. What number is in tenths place? This tenths place decimal is four tenths because the tenths place value has a four in it. Even though we see a decimal place value chart to hundredths, there is only a number in the tenths place.

If there are four tenths place in decimals, that means one whole is split into ten equal parts. Each part represents one tenth. Since there are four tenths in this decimal number, below you can see the base ten block to represent four tenths has four parts shaded in.

## Decimal Place Value – Hundredths

Where is the hundredths place in a decimal? Before we learn about what is the hundredths place, let’s take a look at: where is the hundredths place? The hundredths decimal place is the place value two places to the *right* of the decimal point. Take a look at the illustration below to find the answer to where is the hundredths place in a decimal and which digit is in the hundredths place.

What digit is in the hundredths place? The hundredths place is the place value two places to the *right* of the decimal point. What number is in the hundredths place? This place value chart with tenths and hundredths shows sixty-two hundredths because the hundredths place has the last digit, which is two in it. As you can see, we can use a place value grid with tenths and hundredths to represent the hundredths place in decimals.

What is the value of the hundredths place?

If there are sixty-two hundredths, that means one whole is split into one hundred equal parts. Each part represents one hundredth. Since there are sixty-two hundredths in this decimal number, below you can see the base ten block to represent sixty-two hundredths has sixty-two parts shaded in.

## Decimal Place Value – Summary

A **decimal number** represents an equal part of a whole, just like a fraction. Using a ones tenths hundredths place value chart can help write decimals. The find which digit is the tenths place, look to the *right* of the decimal point. Tenths means one whole is split into ten equal parts and each part represents one tenth. To find the hundredths place in a decimal, look two places to the *right* of the decimal point. Hundredths means one whole is split into one hundred equal parts and each part represents one hundredth.

Want to practise identifying the tenths and hundredths place? In this video you can find identifying tenths and hundredths place examples and on this website there are worksheets along with other activities, and exercises.

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Transcript
**Introducing Decimals: Tenths and Hundredths**

"Atlantis was a complex beautiful city that disappeared one night. Many have tried, but none have ever found the Lost City." "Axel, do you think the city really exists?" "I mean Plato wouldn't make it all up right; he was a greek philosopher!" "Pssst, hey, I'm Fred and I can take you to Atlantis, but first solve my riddle.” What is a Decimal? A decimal number represents an equal part of a whole, just like a fraction. A place value chart can help us to write decimals. We have the tens place, and the ones place, and to the right of the ones place we have a decimal point, the tenths place and the hundredths place. Every place value to the left of the decimal point has a value greater than or equal to one whole. Every place value to the right of the decimal point has a value of less than one whole, so we use a decimal point to represent values that are parts of a whole. Let's look at zero point one on the place value chart. The one is in the tenths column, that means one whole is divided into ten equal parts and we have one part. Now, let's look at zero point zero one, on the place value chart. This time the one is in the hundredths column, that means one whole is divided into one hundred equal parts and we have one part. Let's look at zero point one, and zero point zero one. What do you notice? Zero point one, one tenth, is ten times bigger than zero point zero one, one hundredth! Let's look at the decimal number zero point six two. How can we represent it using base ten blocks? Since the decimal is sixty-two hundreths, we will use the hundredths block and we have sixty-two out of one hundred equal parts of one whole, so we shade in sixty-two parts. Next, we have the decimal number zero point four. How can we represent it using base ten blocks? Since the decimal is in the tenths column, we will use a tenths block and we shade in four out of ten equal parts. Now that Axel and Tank know the answer to the riddle, let's summarise. Remember, a decimal number represents an equal part of a whole, just like a fraction. Every place value to the right of the decimal point has a value of less than one whole so we use a decimal point to represent values that are parts of a whole. Zero point one means one-tenth, because there is one out of ten equal parts. Zero point zero one means one-hundredth because there is one out of one hundred equal parts. "All right, close your eyes and I will transport you to the Lost City of Atalantis!" "Taaa daaaa!" "This isn't the lost city, it's just a model of it!" "Technically, he never said he would take us to the real lost city."