Tens and Ones: Place Value, Face Value, Represent Numbers (2023)

  • Written By Jyoti Saxena
  • Last Modified 20-07-2022

Tens and Ones: Place Value, Face Value, Represent Numbers (1)

Tens and Ones: A number system is a method to represent numbers with the help of digits or other symbols in a consistent manner. The position of a digit in a number system tells the value of that digit in the given number. For example, \(3\) in \(203\) represents \(3\) ones or \(3\), but \(3\) is \(239\) is \(3\) tens or \(30\). While the same digit is present in different numbers, the value of the digit depends on its position in that number.

The first two place values for a given number will be ones and tens, and the first three place values for a given number are ones tens hundreds. This article will cover every concept related to the placement of digits in a given \(3\) digit number at hundred’s, ten’s, and one’s place. Scroll down to know more about the ones tens hundreds of thousands of concept.

Units and Tens: Place Value of a Number

In a number, the place (local) value of a non-zero digit is the value of this digit according to its position. In Mathematics, place value refers to the position of a digit within a number.The position of each digit will be expanded when we represent the number in a general form. The positions start from a unit place, which we also call one’s position. Numerals are placed in order of place value from right to left: units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.
Consider a two-digit number, say \(21\).

Clearly, \(21=20+1\)
\(⇒2\) is at ten’s place and \(1\) at one’s place.
In number \(21\), the place value of \(2\) is \(20\), and the place value of \(1\) is \(1\).

Thus, the place value of a digit depends upon the position it occupies in a number. The place value of the digit \(0\) is always \(0\) regardless of its place in any number.

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Let us take another example.

Take a two-digit number, say \(66\)
Clearly, \(66=60+6\)
\(⇒6\) is at ten’s place and \(6\) at one’s place.

In number \(66\), the place value of \(6\) is \(60\) at tens place, and the place value of \(6\) is at the ones place.

Face Value of a Number

The face value of a digit for any place in the given number is the value of the digit itself. For example, the face value of digit \(3\) in number \(34\) is \(3\) itself.

In \(23\), the face value of \(3\) is \(3\).

Tens and Ones

Tens and Ones: Place Value, Face Value, Represent Numbers (2)
(Video) Place Value First Grade - Tens and Ones

A number can have many digits, and each digit has a special place and value.

Let us understand it with the help of an example.
Consider a two-digit number say \(87\).
The number \(87\) in expanded form can be written as \(87=80+7=8×10+7×1\).
\(⇒8\) is at ten’s place, and \(7\) is at the unit’s place.

In other words, we can say, in \(87\) the place value of \(8\) is \(80\) (\(8\) tens, i.e., \(8×10\)), and the place value of \(7\) is \(7\) (\(7\) tens, i.e., \(7×1\)).

Thus we can say that, in a two-digit number, the leftmost digit is at ten’s place, and the digit to the rightmost placed is at one’s place.

An Activity to Remember Units and Tens

To understand tens and ones better, we can use blocks, crayons, popsicles, beans or rocks. Place a pile of them on a table and show that it is easier tocount them individually and in groups of ten to count the bigger numbers. So first, make groups of ten, then count the ten groups and the individual blocks separately.

Tens and Ones: Place Value, Face Value, Represent Numbers (3)

The figure given above of blocks is a rod and comprises \(10\) one’s or unit’s blocks. Thus each block represents \(1\) ten.

Tens and Ones: Place Value, Face Value, Represent Numbers (4)

For example, after arranging the block in groups of tens and some with leftover blocks, we have:

Tens and Ones: Place Value, Face Value, Represent Numbers (5)

We can say that “I have here four \(10\) – groups and \(4\) individual blocks.” That is four tens and four ones.

Similarly, take popsicles this time. Group them into groups of tens and some with the leftovers, if any. Count the ten groups and the ones separately.

Tens and Ones: Place Value, Face Value, Represent Numbers (6)

And thus, we can say that “I have here \(1\) ten group popsicles and \(2\) leftover popsicles.” That is one tens and two ones. With this, we can learn words like ten, twenty, thirty, forty, etc.

Representation of Tens and Ones

Tens and Ones: Place Value, Face Value, Represent Numbers (7)

As discussed earlier, there are many ways to represent tens and ones, but most of the time, we use the blocks.

To represent \(1\) ten’s, we express it as,

Practice Exam Questions

(Video) Math Antics - Place Value

Tens and Ones: Place Value, Face Value, Represent Numbers (8)

To represent \(2\) ten’s, we express it as,

Tens and Ones: Place Value, Face Value, Represent Numbers (9)

To represent \(3\) ten’s, we express it as,

Tens and Ones: Place Value, Face Value, Represent Numbers (10)

and so on.

One’s are represented by the single blocks. For example, the number \(7\) can be represented as shown below.

Tens and Ones: Place Value, Face Value, Represent Numbers (11)

To represent \(3\), we can show it as

Different Ways to Represent a Number

There are many ways to notify or represent a number. We can represent a number in base ten representation, also known as block representation of ten’s and one’s.

The example to represent \(62\) is shown through a figure given below, making us understand the various representation of the number easier.

Tens and Ones: Place Value, Face Value, Represent Numbers (13)
Tens and Ones: Place Value, Face Value, Represent Numbers (14)

Tens and Ones Examples

Now, we are almost proficient in representing the number in tens and ones by the place value. Let us master ourselves by solving quite a couple of examples based on units and tens.

Example 1: Express \(47\) in the form of blocks.

Solution: We can represent \(47\) in the form of blocks as;

Tens and Ones: Place Value, Face Value, Represent Numbers (15)
(Video) Place Values For Kids | Ones, Tens, Hundreds, Thousands
Tens and Ones: Place Value, Face Value, Represent Numbers (16)

Example 2: Count the blocks and write the number obtained.

Tens and Ones: Place Value, Face Value, Represent Numbers (17)

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Solution: In the figure, there is one rod of tens and \(9\) individual blocks. So, we can write it as \(1×10+9×1=10+9=19\)

Hence, the number formed is \(19\).

Example 3: Find the face value and place the value of \(5\) in the number \(59\).

Solution: The face value of digit \(5\) is \(59\) is \(5\), whereas the place value of \(5\) is \(59\) is \(50\).

Example 4: Represent the number \(27\) in the form of blocks and rods.

Solution: We can write \(27\) as \(20+7\)
\(⇒2×10+7×1\)
We need \(2\) rods of tens and \(7\) individual blocks.
Thus, \(27\) can be represented as

Tens and Ones: Place Value, Face Value, Represent Numbers (18)

Solved Examples – Tens And Ones

Q.1. A number has \(8\) tens and \(2\) ones. What is the number?
Ans: The place value of the given numbers are:
\(8\) tens \(=80\) and \(2\) ones \(=2\).
Adding these numbers together, we \(80+2=82\).
Hence, the required answer is \(82\).

Q.2. Count the tens and ones blocks and write the number.

Tens and Ones: Place Value, Face Value, Represent Numbers (19)

Ans: By separating the ten’s block and one’s block, we can write it as

Tens and Ones: Place Value, Face Value, Represent Numbers (20)

Hence, the number is \(23\).

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Q.3. Represent \(15\) in the form of blocks.
Ans: Let us write \(15\) in the expanded form first.
\(⇒15=1×10+5\).
Thus, we have to draw \(1\) ten’s block and \(5\) single blocks.
Therefore, we can represent \(15\) in the form of blocks, as shown below;

Tens and Ones: Place Value, Face Value, Represent Numbers (21)

Q.4. Form the blocks and separate them as tens and ones for each of the following given numbers.
a) \(64\) b) \(73\)
Ans: First, let us express the numbers in expanded form:
a) \(64=6×10+4\)
Thus, there will be \(6\) ten-blocks and \(4\) individual blocks.
Hence, \(64\) can be represented in the form of blocks as follows:\

Tens and Ones: Place Value, Face Value, Represent Numbers (22)

b) \(73=7×10+3\)
Thus, there will be \(7\) ten blocks and \(3\) individual blocks.
Hence, \(73\) can be represented in the form of blocks as follows:

Tens and Ones: Place Value, Face Value, Represent Numbers (23)

Q.5. Count the number of tens and one’s blocks and write the number formed.

Tens and Ones: Place Value, Face Value, Represent Numbers (24)

Answer: Here, \(4\) blocks are of tens and \(5\) blocks of ones.
Therefore, \(4×10+5=40+5=45\)
Hence, the answer is \(45\).

Summary

In this article, we discussed the position of a digit in a number that tells the value of a digit in the given number. This position of a digit can be specified in every number with the help of the place value. We learned the concept of tens and ones. In addition to this, we also learned the different ways to represent a block of tens, and lastly, with the help of examples, we made ourselves fully aware of the concept related to tens and ones.

Frequently Asked Questions About Tens and Ones

Let’s look at some of the commonly asked questions about tens and ones:

Q.1. How do you introduce ones and tens?
Ans: To introduce the concept of tens and ones, make use of blocks, crayons, popsicles, beans or rocks. Place a pile of them on a table and show that it is easier tocount them individually and in groups of ten to count the bigger numbers. So first, make groups of ten, then count the ten groups and the leftover individual blocks separately.

Q.2. What is the place value of \(1\) is \(31\)?
Ans: We can write \(31\) in expanded form as \(31=3×10+1×1\).
Thus, \(3\) is at ten’s place, and \(1\) is at one’s place.
Hence, the place value of \(1\) is one’s place.

Q.3. What are tens and ones?
Ans: In a two-digit number, the value of the digit depends on its position in that number. At one’s place, the digit which is at the extreme right is known to be like one’s, whereas the digit placed at the leftmost is known to be at ten’s. For example, consider a two-digit number say \(39\).
The number \(39\) in expanded form can be written as \(39=30+9=3×10+9\).
\(⇒3\) is at ten’s place, and \(9\) is at the unit’s place.
Thus we can say, in \(87\), the place value of \(8\) is \(80\) (\(8\) tens, i.e., \(8×10\)), and the place value of \(7\) is \(7\) (\(7\) tens, i.e., \(7×1\)).

Q.4. What is the same as \(20\) ones?
Ans: \(20\) can be written as \(2×10\), which is \(2\) tens.
Thus, \(20\) ones are the same as \(2\) tens.

Q.5. How many ones make a ten?
Ans: \(10\) individual blocks of ones piled or bundled together make one ten.

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We hope this detailed article on tens and ones helped you in your studies. If you have any doubts or queries regarding this topic, feel free to ask us in the comment section below. Happy learning!

FAQs

What is face value place and place value? ›

Place value is defined as the digit multiplied wherever it is placed, either by hundreds or thousands. Face value is simply defined as the digit itself within a number. Example: Place value of 5 in 350 is: 5*10= 50. Example: Face value of 5 in 350 is: 5. The place value of 0 is 0.

What is the place value of ones and tens? ›

The first digit on the right of the decimal point means tenths i.e. 110. The next place becomes ten times smaller and is called the hunderdths i.e. 1100 and so on. In 27.356, 27 is the whole number part, 2 is in tens place and its place value is 20,7 is in ones place, and its place value is 7.

On which place digit The place value and face value are equal? ›

The face value of 1 is 1, 0 is 0 and 0 is 0. Hence the answer is option (a) as 0 is the only number whose face value and place value are equal.

What is face value of number? ›

In Mathematics, face value is the actual value of the digit in a number. For example, if 567 is a number, then the face value of 6 is 6 only, whereas its place value is tens (i.e. 60).

What is the face value of 8? ›

Learn the Difference Between Place and Face Value
Place valueFace value
The Place value of digit 0 in a given number is always 0.The Place value of digit 0 is 0.
Example: The Place value of digit 8 in 5,831 = 8 × 100 = 800.Example: The Face value of digit 8 in 5,831 = 8
3 more rows

What is the face value of 9 in 59? ›

This is Expert Verified Answer

the place value of 9 is 9 (nine). Therefore face value of 9 in 59 is 9.

What is the face value of 6 in 64? ›

Since 6 is in the tens place, the place value of 6 in 64 is 6 tens, i.e., 6 × 10 = 60.

What is the meaning of tens and ones in math? ›

What are tens and ones? Ans: In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.

How many tens and ones are in the number 15? ›

So, 15 has 1 ten and 5 ones.

What is the face value of 4 in 406? ›

4 in 406 is 4.

Which digits have the same face value and place value in 9/20 78634? ›

In a number, the digit that have same face value and place value are the ones digit and all the zeroes of the number. Therefore, in 9,20,78,634, 4 (the ones digit) and 0 (the lakhs digit) have the same face value and place value.

Which digit have the face value and place value in 92078634? ›

The given number is 92078634 and 9, 20, 78, 634 we know that 4 which are the ones digit and 0 which is the lakhs digit have same face and place value.

What is the face value of 4? ›

The face value of a digit is the number itself. For example, in the number 452, the face value of 4 is 4. The place value of a number depends upon the position of the digit in the number. The face value is independent of the position of the digit in the number.

What is the face value of 3? ›

Now, let us find the face value and place value of all the digits in number 9283. Face value 3 is 3 and place value of 3 is 3. Face value 8 is 8 and place value of 8 is 80.

How do you write face value? ›

Place Value And Face Value | Mathematics Grade 2 | Periwinkle

What is the face value of 6 in 28639? ›

Answer: 594 is the answer.

What is face value of 10? ›

Face Value Vs Book Value

Meaning, book value helps you determine the total amount the shareholders would receive if the company shuts its doors. For example, a company issued shares worth 10 lakh, at ₹10 face value, and the company's equity capital stands at ₹1 crore — face value (Rs 10) * outstanding shares (10 lakh).

What is the face value of 7 in 478? ›

the place value of 7 is 70.

What is the face value of 7 in 3752? ›

Answer. Answer: a)face value of 7 is 7.

What is the face value of 6 in 9657 *? ›

There are innumerable numbers. Each digit has its place value as well as face value. The face value of a digit in a number is the value of the digit itself. Here 9576 face value of 6 is 6.

What is the face value of 0 in 209? ›

The place value of 0 in 209 is tens.

What is the face value of 5 in 5432? ›

Face value: The face value of a digit is the digit itself, at whatever place it may be. It is unchangeable. Like in 5432 face value of 2 is 2, the face value of 3 is 3, the face value of 4 is 4 and the face value of 5 is 5.

What is the place value of 8 in 98? ›

Place Values of the Digits in 98
PlacesTensOnes
Digits98
Multipliers101
Place Values908

What is the value of the 4 in 475? ›

Face value means the digit itself though it is at any place in the given number. But place value means the value of digit in its place in the given number. Here the place value of 4 in 475 can be determined by as 4 is in 100's place in 475. Hence, the place value of 4 in 475 is 4x100 = 400.

How do you identify tens and ones? ›

Place Value: Ones and Tens | Math for Grade 2 | Kids Academy - YouTube

How do you explain tens and ones to first graders? ›

Ones and Tens - Place Value Blocks | Math for 1st Grade | Kids Academy

How do you write numbers in tens and ones? ›

Learn Counting Numbers in Tens and Ones - Numbers 10 to 19 - YouTube

How many tens are there in 70? ›

Now, we can see that there are seven tens in 70. 10, 20, 30, 40, 50, 60, 70. There are seven tens in 70 ones.

How many tens and ones are in 181? ›

181 has one hundred, eight tens, and one one.

How many ones are there in 28? ›

2 tens and 8 ones .

What is the face value of 9 in 792? ›

Place Values of the Digits in 792
PlacesHundredsTens
Digits79
Multipliers10010
Place Values70090

What is the face value of 8 in 867? ›

Place value is how much each digit is worth, based on what place it has in a number. You can find a digit's place value by multiplying it times its place. For example, the 8 in 867 actually has a place value of 800 (or 8×100), since it's in the hundreds place.

What is the place value of 6 in 624? ›

Place Values of the Digits in 624
PlacesHundredsTens
Digits62
Multipliers10010
Place Values60020

Which digits have the same place value and face value in 76085493? ›

Answer: Digit have the same face value and place value in 92078634 is 4.

Which digit has the same place value and face value in 3769584? ›

Answer: The digit is 4 , it has same face value and place value .

Which digit has the same face value and place value in 76185493? ›

based in the above expression the digit thay have the same place and face value is 3.

Which digits have same face value and place value in 7 60 96504? ›

Answer: 0 and 4 have same place value and face value .

Which digit have the same place value and face value in 680 34567? ›

0 and 7 will have the same place value and face value in 6,80,34,567.

What is the place value? ›

What Is Place Value in Math? Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value. The number 42,316 is different from 61,432 because the digits are in different positions.

What is the face value of 5 in 5432? ›

Face value: The face value of a digit is the digit itself, at whatever place it may be. It is unchangeable. Like in 5432 face value of 2 is 2, the face value of 3 is 3, the face value of 4 is 4 and the face value of 5 is 5.

What is the face value of 6 in 28639? ›

Answer: 594 is the answer.

What is the face value of 4 in 406? ›

4 in 406 is 4.

What is the place value of 7 in 1743? ›

Question 9. What is the place value of 7 in 1743? Hence, the place value of 7 = 700.

What is the face value of 7 in 470? ›

Answer: it's 7. face value is always same as the no.

What is the face value of 6 in 64? ›

Since 6 is in the tens place, the place value of 6 in 64 is 6 tens, i.e., 6 × 10 = 60.

What is the face value of 3 in 735? ›

Answer. Answer: The place value of 3 is tenes and 7 is hundreds .

What is the face value of 6 in 6973? ›

Face value of 6 is 6 and Place value is 6000 (look at the digit "856973" count after 6 so there are 3 digits, we will write 60000). Hope you understand @Sneha.
...
Discussion :: Numbers - General Questions (Q. No. 84)
[A].973
[D].None of these
2 more rows

What is the face value of 4? ›

The face value of a digit is the number itself. For example, in the number 452, the face value of 4 is 4. The place value of a number depends upon the position of the digit in the number. The face value is independent of the position of the digit in the number.

What is the difference of the place value and face value of 2 in 829? ›

Thus, 18 is the difference of the place value and face value of 2 in 829 .

What is the face value of 9 in 792? ›

Place Values of the Digits in 792
PlacesHundredsTens
Digits79
Multipliers10010
Place Values70090

What is the face value of 8 in 867? ›

Place value is how much each digit is worth, based on what place it has in a number. You can find a digit's place value by multiplying it times its place. For example, the 8 in 867 actually has a place value of 800 (or 8×100), since it's in the hundreds place.

What is the face value of 6 in 9657 *? ›

There are innumerable numbers. Each digit has its place value as well as face value. The face value of a digit in a number is the value of the digit itself. Here 9576 face value of 6 is 6.

What is the place value of 7 in the number 710621684? ›

The number \[710,621,684\] can also be written in an expanded form which is as follows. The place value of zero is not shown in expanded form because when zero gets multiplied with any number then the result comes out to be zero. So, the value of \['7'\] in \[710,621,684\] will be \[700,000,000\].

What is the difference of the place values of 7's in 37475? ›

Place value of this 7 = 7 × 1000 = 7000. Therefore, the difference of place value of two 7's is 6930.

What is the difference between the place value of 7 in 678072? ›

The Difference between the place values of 7 in 678072 is 6,99,930.

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