- Written byJyoti Saxena
- Last change 01/25/2023
Tens and Ones:A number system is a method of consistently representing numbers using digits or other symbols. The position of a digit in a number system indicates 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 \( 30\). Although the same digit is present in different numbers, the digit's value depends on its position in that number.
The first two place values for a given number are ones and tens, and the first three place values for a given number are ones to tens. This article covers all concepts related to placing the digits in a given number of digits \(3\) in the hundreds, tens, and ones places. Scroll down to learn more about the tens of thousands concept.
Ones and Tens: place value of a number
In a number, the place value (local value) of a non-zero digit is the value of that digit according to its position. In mathematics, place value describes the position of a digit within a number. The position of each digit is expanded if we represent the number in general form. Positions start from a unitary place, which we also call the position of ones. Numbers are arranged in the order of their values from right to left: ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, etc.
Imagine a two-digit number, say \(21\).
Obviously \(21=20+1\)
\(⇒2\) is in the tens place and \(1\) in the ones place.
In the number \(21\), the place value of \(2\) is \(20\) and the place value of \(1\) is \(1\).
The value of a digit depends on the position it occupies in a number. The place value of the digit \(0\) is always \(0\), regardless of its position in any number.
Let's take another example.
Take a two-digit number, say \(66\)
Of course \(66=60+6\)
\(⇒6\) is in the tens place and \(6\) in the ones place.
In the number \(66\), the place value of \(6\) is \(60\) in the tens place, and the place value of \(6\) is in the ones place.
par 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 the digit \(3\) in the number \(34\) is \(3\) itself.
In \(23\), the nominal value of \(3\) is \(3\).
tens and ones
A number can have many digits and each digit has a special place and value.
Let's understand with an example.
Imagine 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 in the tens place and \(7\) in the ones place.
In other words, we can say that in \(87\) the place value of \(8\) is \(80\) (\(8\) tens, so \(8×10\)), and the place value value of \(7\) is \(7\) (\(7\) tens, i.e. \(7×1\)).
So we can say that for a two-digit number, the leftmost digit is in the tens place and the rightmost digit is in the ones place.
An activity to memorize ones and tens
To better understand tens and ones, we can use blocks, colored pencils, popsicles, beans, or rocks. Put a pile of them on a table and show that it is easier to count them individually and in groups of ten to count the biggest numbers. First form groups of ten, then count the groups of ten and each block separately.
The number of blocks given above is a slash and consists of \(10\) one or unit blocks. Therefore, each block \(1\) represents ten.
For example, after sorting the block into groups of ten and some with leftover blocks, we have:
We can say: "Here I have four \(10\) groups and \(4\) individual blocks". There are four tens and four ones.
Have popsicles this time too. Group them in groups of ten and some with leftovers if any. Count the ten groups and individually.
And so we can say: "Here I have \(1\) ten palettes in a group and \(2\) leftover palettes". That's a ten and two one. With it we can learn words like ten, twenty, thirty, forty, etc.
Representation of tens and ones
As discussed above, there are many ways to represent tens and ones, but we generally use blocks.
To represent \(1\) tens, we express it as
To represent \(2\) tens, we express it as
To represent \(3\) tens, we express it as
etc.
Those of one are represented by the individual blocks. For example, the number \(7\) can be represented as shown below.
To represent \(3\) we can represent it as
Different ways to represent a number
There are many ways to communicate or represent a number. We can represent a number in base 10 notation, also known as 10 and 1 block notation.
The example of how \(62\) is represented is shown in the image below, which will help us understand the different representations of the number.
Examples of tens and ones
Now we are almost experts in representing the number in tens and ones by place value. Let's master ourselves by solving some good examples based on ones and tens.
Example1:Express \(47\) in block form.
Solution: We can represent \(47\) in block form as;
example 2: Count the blocks and write down the number obtained.
Solution: In the figure there is a tens bar and \(9\) individual blocks. So we can write it as \(1×10+9×1=10+9=19\)
So the number formed is \(19\).
Example3:Find the face value and substitute the value of \(5\) into the number \(59\).
Solution: The par value of the digit \(5\) is \(59\) is \(5\), while the place value of \(5\) is \(59\) is \(50\).
Example 4:Represent the number \(27\) in the form of blocks and sticks.
Solution: We can write \(27\) as \(20+7\)
\(⇒2×10+7×1\)
We need \(2\) tens and \(7\) single blocks.
So \(27\) can be represented as
Worked Examples - Tens and Ones
Q.1. has a number\(8\)tens and\(2\)some. What's the number?
Responder: The place value of the given numbers is:
\(8\) tens \(=80\) and \(2\) ones \(=2\).
If we add these numbers together, we get \(80+2=82\).
Therefore, the required answer is \(82\).
Q.2. Count the tens and ones blocks and write down the number.
Responder: By separating the tens block and the ones block, we can write it as
So the number is \(23\).
P.3. represent\(15\)in the form of blocks.
Responder: First, let's write \(15\) in expanded form.
\(⇒15=1×10+5\).
Therefore, we need to draw \(1\) blocks of ten and \(5\) individual blocks.
Therefore we can represent \(15\) in terms of blocks as shown below;
Q.4. Make the blocks and separate them as tens and ones for each of the following given numbers.
A)\(64\)B)\(73\)
Responder: First, let's express the numbers in expanded form:
a) \(64=6×10+4\)
So there are \(6\) blocks of ten and \(4\) individual blocks.
Therefore \(64\) can be represented in block form as follows:\
b) \(73=7×10+3\)
Thus, there are \(7\) ten blocks and \(3\) individual blocks.
Therefore \(73\) can be represented in block form as follows:
Q.5. Count the number of tens and ones blocks and write down the number formed.
Responder:Here \(4\) blocks are tens and \(5\) blocks are units.
Also \(4×10+5=40+5=45\)
So the answer is \(45\).
Summary
In this article, we discuss the position of a digit in a number, which indicates the value of a digit in the given number. This one-digit position can be specified in any number using place value. We learned the concept of tens and ones. In addition, we also got to know the different ways of representing a block of ten and finally, based on examples, we got to know the concept of tens and units.
Frequently asked questions about tens and ones
Let's look at some of the most frequently asked questions about tens and ones:
Q.1. How are units and tens entered?
Responder:To introduce the concept of tens and ones, use blocks, crayons, popsicles, beans, or rocks. Put a pile of them on a table and show that it is easier to count them individually and in groups of ten to count the biggest numbers. So first form groups of ten, then count the ten groups and the remaining individual blocks separately.
Q.2. What is the value of\(1\)es\(31\)?
Responder:We can write \(31\) in expanded form as \(31=3×10+1×1\).
So \(3\) is in the tens place and \(1\) in the ones place.
Therefore, the place value of \(1\) is unity.
Q.3. What are tens and ones?
Responder:In a two-digit number,The value of the digit depends on its position in that number. In place of units, the rightmost digit is known as one, while the leftmost digit is known as ten. For example, imagine a two-digit number, say \(39\).
The number \(39\) in expanded form can be written as \(39=30+9=3×10+9\).
\(⇒3\) is in the tens place and \(9\) in the ones place.
Therefore, we can say that in \(87\) the place value of \(8\) \(80\) (\(8\) tens, i.e. \(8×10\)) and the place value of \ ( 7\) is \(7\) (\(7\) tens, i.e. \(7×1\)).
Q.4. which is the same as\(20\)some?
Responder:\(20\) can be written as \(2×10\), which is \(2\) tens.
So \(20\) ones equals \(2\) tens.
Q.5. How many ones make a ten?
Responder:\(10\) individual blocks of ones, stacked or grouped, make a ten.
We hope this detailed article on tens and ones has helped you learn. If you have any doubts or questions regarding this topic, feel free to ask us in the comments section below. Have fun with your studies!
FAQs
What is the place value of 0 in 2058? ›
To write 2058 in words, we shall use the place value chart. In the place value chart, put 2 in the thousands, 0 in the hundreds, 5 in the tens, and 8 in the ones, respectively.
What is the value of the number in the tens place? ›A place in the place-value system that has a value of 10. In the number 23, 2 is in the tens place. Numerals from 0 to 9 that form part of a number.
How do you write the place value of a number? ›Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundred or 700. However, the place value of 7 in 7,432 is 7 thousand or 7,000.
What is number value and place value? ›Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that while a digit can be the same, its value depends on where it is in the number.
What is the place value of 0 in 409? ›How to Write 409 in Words? To write 409 in words, we shall use the place value chart. In the place value chart, write 4 in the hundreds, 0 in the tens, and 9 in the ones, respectively.
What is the place value of 0 in 707? ›The place value of 0 in any number is always taken as 0. For example, the place value of 0 in 100 is zero and the place value of 0 in 707 is also zero.
What is the place value of 0 in 103? ›The ones place has a value 1, tens place has a value 10, hundreds place has a value 100 and thousands place has a value 1000. Using this, we shall find the place value of 0 in 103. The digit 0 is in the tens place which means it is to be multiplied by 10 to give its place value. Hence, the place value of 0 in 103 is 0.
What is the numerical value of 13? ›Therefore, 13 in roman numerals is written as XIII = X + III = 10 + 3 = XIII.
What are number values? ›The value refers to the worth of each digit depending on where it lies in the number. We calculate it by multiplying the place value and face value of the digit. Value = Place Value × Face Value. For instance: If we consider the number 45. Here digit 4 is in the tens column.
What is the place value of 4 in 64? ›Now let us look at the digit 4 in the number 64. It is in the ones place of the number. So, its place value is 4.
How do you write 22 in tens? ›
For 22 we see that the digits in units = 2, tens = 2. Therefore 22 in words is written as Twenty Two.
What is 16 in tens and ones? ›So, 16 has 1 ten and 6 ones.
What is an example of unit number? ›In math, the word unit can be defined as the rightmost position in a number or the one's place. Here, 3 is the unit's number in the number 6713. A unit may also mean the standard units used for measurement.
What is an example of a numeric value? ›A numeric value is any real or integer number such as 3.68 or 52.
What is numeric values only? ›A numeric value contains only numbers, a sign (leading or trailing), and a single decimal point.
What is value with example? ›Values can be defined as those things that are valued by someone. In other words, values are what is considered 'important' by an individual or an organization. Examples include courage, honesty, freedom, innovation etc.
What is place value and value examples? ›What is Place Value and Face Value with Example? The face value of a digit in any number is the digit itself, while its place value is its position in the number. For example, the face value of 7 in 2769 is 7 while its place value is 7 hundreds or 700.
What is an example of tens? ›All two-digit numbers are composed of tens and ones. For example, in the number 56, 5 is at the tens place, and 6 is at the ones place. Here, each rod represents 1 ten and is comprised of 10 ones. Factoid 1: The numbers 10, 20, 30, 40… can be written as 1 ten, 2 tens, 3 tens, 4 tens, and so on.
How do you write place value and decimal values? ›The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
How do you find the place value and value? ›We can find the place value of a digit by finding how many places the digit is to the right or left of the decimal point in a number. If it is n places to the left of the decimal point, we multiply the digit by 10^(n - 1) to get the digit's place value.
What is the place value and value of 64? ›
The number 64 has 4 in the ones place and 6 in the tens place.
What is the place value of 6 and 9? ›We write 9 and put two zeroes to its right. So, the place value of 9 in the number is 900. We write 6 and put one zero to its right. So, the place value of 6 in the number is 60.
What is the place value of 4 in 1234? ›In the number 1234, 4 is in the units place, 3 is in the tens place, 2 is in the hundreds place and 1 is in the thousands place.
What is the place value of 0 in 82019? ›(ii) The place value of zero (0) is always 0. It may hold any place in a number, its value is always 0. As, in 105, 350, 42017, 90218 the place value of 0 in each number is 0. 2.
What is the number of tens in 708? ›∴ The number of tens in 708 is 70. Hence option 4 is correct.
What is the place value of 6 in 6666? ›For example, consider a number 6666. The value of 6 in the tens place is 10 times the value of 6 in ones place, the value of 6 in the hundreds place is 100 times the value of 6 in the ones place, the value of 6 in the thousands place is 1000 times the values of 6 in the ones place, and so on.
What is the place value of 0 in 404? ›To write 404 in words, we shall use the place value chart. In the place value chart, write 4 in the hundreds, 0 in the tens, and 4 in the ones, respectively.
What is the place value of 0 in 502? ›How to write 502 in a place value chart? In the place value chart, write 2 in ones, 0 in tens, and then 5 in the hundreds place.
What is the place value of 0 in 5065? ›2. Considering the place value of each digit with 5 in the thousands place, 0 in the hundreds place, 6 in the tens place, and 5 in the ones place, we get 5,065 = 5,000 + 60 + 5 as the expanded form.
What is the place value of 9 in 192? ›In the place value chart, write 1 in the hundreds, 9 in the tens, and 2 in the ones. Now let us make a place value chart to write the number 192 in words. = One hundred ninety-two.
What is the place value of 1 in 104? ›
Example: "104" means 1 Hundred, Zero Tens and 4 Ones.
What is the numerical value of 6? ›Other names of "Absolute Value" are "Numerical value" and "Magnitude". The absolute value of a number is its distance from 0. It is the magnitude of that number without considering its sign. Since 6 is six units away towards right from 0, the absolute value of 6 is just 6.
What is the numeric value of 7? ›| # | RN |
|---|---|
| 6 | VI |
| 7 | VII |
| 8 | VIII |
| 9 | IX |
The number 14 in Roman numerals is XIV.
What are the three types of numeric values? ›The exact numeric types are INTEGER , BIGINT , DECIMAL , NUMERIC , NUMBER , and MONEY .
How many numerical values are there? ›The numbering system consists of ten different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If a value is an alphanumeric, it contains letters and numbers.
What is numeric form? ›A numerical expression is a mathematical sentence involving only numbers and one or more operation symbols. Examples of operation symbols are the ones for addition, subtraction, multiplication, and division. They can also be the radical symbol (the square root symbol) or the absolute value symbol.
What is the place value of 6 in 62? ›Since 62 is a two-digit number, thus, place value of 6 is tens and 2 is ones.
What is the place value of 6 in 67? ›6 in 67 means 6 tens. 7 in 67 means7 ones. Hence, the place value of 6 in 67 is 6 tens or 60.
What is the place value of 4 in 243? ›For instance, the 2 in 243 is in the hundreds place. That stands for 2 hundreds or 200. The 4 is in the tens place, meaning 4 tens or 40.
How are 3 tens and 4 ones represented in a base 10 system? ›
How are 3 tens and 4 ones represented in a Base 10 system? 3 tens = 30; 4 ones =4. Put these values together to get 34.
How much is 5 tens and 3 ones? ›So, 5 tens and 3 ones = 50 + 3 = 53.
What is 6 tens and 3 ones? ›36 is 3 tens plus 6 ones. What is another way to make 36? 2. 45 is 4 tens plus 5 ones.
What is the tens and ones of 12? ›The 1 is in the TENS place, and the 2 is in the ONES place. That's because the number 12 is made up of 1 ten and 2 ones.
What is base 10 representation of a number? ›Base-10 numbers or decimal numbers are expressed in positional notation. In Decimal Notation, digit values (column values) represent powers of 10. Any one of the ten digits, 0, 1, 2, . . . 9, may occupy any position indicating how many of each digit value are being represented.
What is base 10 numeral form example? ›Base ten numerals are written with a combination of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, such that each position has a value in powers of ten. Base Ten Numerals Example: 150 and “One hundred and fifty” are both base ten numerals. The first is written using the digits. The latter is written in the word form.
What is the base 10 representation of 1000? ›Binary numbers are made up of 1s and 0s. The base 10 number for the binary number 1000 is 8.
How many tens and ones are in 15? ›So, 15 has 1 ten and 5 ones.
What is 7 tens and 7 ones? ›77 is 7 tens plus 7 ones.
How many tens and ones are in 32? ›32 = 3 tens and 2 ones.
How many tens and ones are in 36? ›
As given in the image, 36 = 3 tens + 6 ones.
How many tens is 23? ›23 is the same as 2 tens and 3 ones why not 2 ones and 3 tens?
How do you write 13 in tens and ones? ›- Now, it's easier to count our blocks. ...
- Tip: In math, instead of writing the word equals, we usually write the equal sign, = 13 = 1 Tens and 3 Ones.
- We can also think about 13 like this: 13 = 0 Tens and 13 Ones.
Let us look at the digit 6 in the number 64. It is in the tens place of the number. So, the place value of 6 is 60.