
Read and expand the numbers wherever there are blanks.
Number Number Name Expansion 20000 Twenty thousand \[2 \times 10000\] 26000 Twenty six thousand \[2 \times 10000 + 6 \times 1000\] 38400 Thirty eight thousand four hundred \[3 \times 10000 + 8 \times 1000 + 4 \times 100\] 65740 Sixty five thousand seven hundred forty \[6 \times 10000 + 5 \times 1000 + 7 \times 100 + 4 \times 10\] 89324 Eighty nine thousand three hundred twenty four \[8 \times 10000 + 9 \times 1000 + 3 \times 100 + 2 \times 10 + 4 \times 1\] 50000 41000 47300 57630 29485 29085 20085
Write five more 5-digit numbers, read them, and expand them.
| Number | Number Name | Expansion |
| 20000 | Twenty thousand | \[2 \times 10000\] |
| 26000 | Twenty six thousand | \[2 \times 10000 + 6 \times 1000\] |
| 38400 | Thirty eight thousand four hundred | \[3 \times 10000 + 8 \times 1000 + 4 \times 100\] |
| 65740 | Sixty five thousand seven hundred forty | \[6 \times 10000 + 5 \times 1000 + 7 \times 100 + 4 \times 10\] |
| 89324 | Eighty nine thousand three hundred twenty four | \[8 \times 10000 + 9 \times 1000 + 3 \times 100 + 2 \times 10 + 4 \times 1\] |
| 50000 | ||
| 41000 | ||
| 47300 | ||
| 57630 | ||
| 29485 | ||
| 29085 | ||
| 20085 |
Answer
567.3k+ views
Hint: We will first write the number names and expansion of the numbers which are lacking both of these things. We will then write random 5-digit numbers and also their number name and expansion.
Complete step by step answer:
We know that for a five digit number, we need five place values which are ones, tens, hundreds, thousands, and ten thousands which are represented in the following order and sequence:-
TTh Th H T O
Number 1:
We can clearly see that TTh has 5 and all the other places have 0 in them.
Since we have a five in Ten thousands place. So, we have $5 \times 10$ that is 50 thousand.
Therefore, it becomes fifty thousand since all the other places are zero.
Now, we need to write this in expanded form:
Since 5 is in the ten Thousands place. Therefore, we have $5 \times 10000$.
Rest all will be 0. So, we have $0 \times 1000,0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[50,000 = 5 \times 10000 + 0 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[50,000 = 5 \times 10000\]
Number 2:
We can clearly see that TTh has 4 and Th has 1 and all the other places have 0 in them.
Since we have a four in ten thousands place. So, we have $4 \times 10$ that is 40 thousand.
Now, we also have 1 in thousands place. Therefore, it becomes forty one thousand. Now, since all the other places are zero.
Hence, the number in words is Forty one thousand.
Now, we need to write this in expanded form:
Since 4 is in the ten thousands place. Therefore, we have $4 \times 10000$.
Similarly, there is a 1 in Thousands place. So, we then have: $1 \times 1000$.
Rest all will be 0. So, we have $0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[41,000 = 4 \times 10000 + 1 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[41,000 = 4 \times 10000 + 1 \times 1000\]
Number 3:
Since, we have a four in ten thousands place. So, we have $4 \times 10$ that is 40 thousand.
Now, we also have 7 in thousands place and 3 in hundreds place. Therefore, it becomes forty-seven thousand three hundred since all the other places are zero.
Hence, the number in words is Forty seven thousand three hundred.
Now, we need to write this in expanded form:
Since 4 is in the Ten Thousands place. Therefore, we have $4 \times 10000$.
Similarly, there is a 7 in Thousands place. So, we then have: $7 \times 1000$. And there is a 3 in hundreds place. So, we have $3 \times 100$.
Rest all will be 0. So, we have $0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[47,300 = 4 \times 10000 + 7 \times 1000 + 3 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[47,300 = 4 \times 10000 + 7 \times 1000 + 3 \times 100\]
Number 4:
Since we have a five in Ten thousand place. So, we have $5 \times 10$ that is 50 thousand.
Now, we also have 7 in thousand place, 6 in the hundreds place, and 3 in tens place which means $3 \times 10$ that is 30. Therefore, it becomes fifty-seven thousand six hundred thirty since ones place is zero.
Hence, the number in words is fifty-seven thousand six hundred thirty.
Now, we need to write this in expanded form:
Since 5 is in the Ten Thousands place. Therefore, we have $5 \times 10000$.
Similarly, there is a 7 in Thousands place. So, we then have $7 \times 1000$, there is a 6 in the hundreds place. So, we have $6 \times 100$. And there is a 3 in tens place. So, we have $3 \times 10$.
The rest is 0. So, we have $0 \times 1$.
Hence, the expanded form is \[57,630 = 5 \times 10000 + 7 \times 1000 + 6 \times 100 + 3 \times 10 + 0 \times 1\].
We can write it as:-
\[57,630 = 5 \times 10000 + 7 \times 1000 + 6 \times 100 + 3 \times 10\]
Number 5:
Since, we have a two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 9 in thousand place, 4 in hundreds place, 8 in tens place which means $8 \times 10$ and 5 in ones place. Therefore, it becomes twenty nine thousand four hundred eighty five.
Hence, the number in words is: Twenty nine thousand four hundred eighty five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousands place. Therefore, we have $2 \times 10000$.
Similarly, there is a 9 in Thousands place. So, we then have: $9 \times 1000$, there is a 4 in the hundreds place. So, we have $4 \times 100$, there is a 8 in tens place. So, we have $8 \times 10$. And, we have 5 in ones place. So, we have $5 \times 1$.
Hence, the expanded form is \[29,485 = 2 \times 10000 + 9 \times 1000 + 4 \times 100 + 8 \times 10 + 5 \times 1\].
Number 6:
Since we have two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 9 in thousand place, 0 in the hundreds place, 8 in tens place which means $8 \times 10$, and 5 in ones place. Therefore, it becomes twenty-nine thousand eighty five.
Hence, the number in words is: Twenty nine thousand eighty five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousands place. Therefore, we have $2 \times 10000$.
Similarly, there is a 9 in Thousands place. So, we then have $9 \times 1000$, there is 8 in tens place. So, we have $8 \times 10$. And, we have 5 in ones place. So, we have $5 \times 1$.
Hence, the expanded form is \[29,085 = 2 \times 10000 + 9 \times 1000 + 0 \times 100 + 8 \times 10 + 5 \times 1\].
We can write it as:-
\[29,085 = 2 \times 10000 + 9 \times 1000 + 8 \times 10 + 5 \times 1\]
Number 7:
Since, we have a two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 0 in thousand places, 0 in the hundreds place, 8 in tens place which means $8 \times 10$, and 5 in one place. Therefore, it becomes twenty thousand eighty-five.
Hence, the number in words is Twenty thousand eighty-five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousand place. Therefore, we have $2 \times 10000$.
So, we have $8 \times 10$. And, we have 5 in one place. So, we have $5 \times 1$. (Rest all are zero)
Hence, the expanded form is \[20,085 = 2 \times 10000 + 0 \times 1000 + 0 \times 100 + 8 \times 10 + 5 \times 1\].
We can write it as:
\[20,085 = 2 \times 10000 + 8 \times 10 + 5 \times 1\]
Now, let 5 more numbers be 10000, 30000, 40000, 60000 and 70000.
Using the number name and expansion of 20000 given to us, we will get:-
$\therefore$ The final answer is:
Note:
The students must remember the spellings of all the words they might require in writing the numbers in word form.
The students must know the difference between place value and face value. One of the most important differences is that place value refers to the position of the digit and the face value represents the actual value of the digit. For example, 5 on Th place (place value) will have the face value of 5 is $5 \times 1000$ (face value).
Complete step by step answer:
We know that for a five digit number, we need five place values which are ones, tens, hundreds, thousands, and ten thousands which are represented in the following order and sequence:-
TTh Th H T O
Number 1:
| TTh | Th | H | T | O |
| 5 | 0 | 0 | 0 | 0 |
We can clearly see that TTh has 5 and all the other places have 0 in them.
Since we have a five in Ten thousands place. So, we have $5 \times 10$ that is 50 thousand.
Therefore, it becomes fifty thousand since all the other places are zero.
Now, we need to write this in expanded form:
Since 5 is in the ten Thousands place. Therefore, we have $5 \times 10000$.
Rest all will be 0. So, we have $0 \times 1000,0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[50,000 = 5 \times 10000 + 0 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[50,000 = 5 \times 10000\]
Number 2:
| TTh | Th | H | T | O |
| 4 | 1 | 0 | 0 | 0 |
We can clearly see that TTh has 4 and Th has 1 and all the other places have 0 in them.
Since we have a four in ten thousands place. So, we have $4 \times 10$ that is 40 thousand.
Now, we also have 1 in thousands place. Therefore, it becomes forty one thousand. Now, since all the other places are zero.
Hence, the number in words is Forty one thousand.
Now, we need to write this in expanded form:
Since 4 is in the ten thousands place. Therefore, we have $4 \times 10000$.
Similarly, there is a 1 in Thousands place. So, we then have: $1 \times 1000$.
Rest all will be 0. So, we have $0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[41,000 = 4 \times 10000 + 1 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[41,000 = 4 \times 10000 + 1 \times 1000\]
Number 3:
| TTh | Th | H | T | O |
| 4 | 7 | 3 | 0 | 0 |
Since, we have a four in ten thousands place. So, we have $4 \times 10$ that is 40 thousand.
Now, we also have 7 in thousands place and 3 in hundreds place. Therefore, it becomes forty-seven thousand three hundred since all the other places are zero.
Hence, the number in words is Forty seven thousand three hundred.
Now, we need to write this in expanded form:
Since 4 is in the Ten Thousands place. Therefore, we have $4 \times 10000$.
Similarly, there is a 7 in Thousands place. So, we then have: $7 \times 1000$. And there is a 3 in hundreds place. So, we have $3 \times 100$.
Rest all will be 0. So, we have $0 \times 100,0 \times 10$ and $0 \times 1$.
Hence, the expanded form is \[47,300 = 4 \times 10000 + 7 \times 1000 + 3 \times 100 + 0 \times 10 + 0 \times 1\].
We can write it as:-
\[47,300 = 4 \times 10000 + 7 \times 1000 + 3 \times 100\]
Number 4:
| TTh | Th | H | T | O |
| 5 | 7 | 6 | 3 | 0 |
Since we have a five in Ten thousand place. So, we have $5 \times 10$ that is 50 thousand.
Now, we also have 7 in thousand place, 6 in the hundreds place, and 3 in tens place which means $3 \times 10$ that is 30. Therefore, it becomes fifty-seven thousand six hundred thirty since ones place is zero.
Hence, the number in words is fifty-seven thousand six hundred thirty.
Now, we need to write this in expanded form:
Since 5 is in the Ten Thousands place. Therefore, we have $5 \times 10000$.
Similarly, there is a 7 in Thousands place. So, we then have $7 \times 1000$, there is a 6 in the hundreds place. So, we have $6 \times 100$. And there is a 3 in tens place. So, we have $3 \times 10$.
The rest is 0. So, we have $0 \times 1$.
Hence, the expanded form is \[57,630 = 5 \times 10000 + 7 \times 1000 + 6 \times 100 + 3 \times 10 + 0 \times 1\].
We can write it as:-
\[57,630 = 5 \times 10000 + 7 \times 1000 + 6 \times 100 + 3 \times 10\]
Number 5:
| TTh | Th | H | T | O |
| 2 | 9 | 4 | 8 | 5 |
Since, we have a two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 9 in thousand place, 4 in hundreds place, 8 in tens place which means $8 \times 10$ and 5 in ones place. Therefore, it becomes twenty nine thousand four hundred eighty five.
Hence, the number in words is: Twenty nine thousand four hundred eighty five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousands place. Therefore, we have $2 \times 10000$.
Similarly, there is a 9 in Thousands place. So, we then have: $9 \times 1000$, there is a 4 in the hundreds place. So, we have $4 \times 100$, there is a 8 in tens place. So, we have $8 \times 10$. And, we have 5 in ones place. So, we have $5 \times 1$.
Hence, the expanded form is \[29,485 = 2 \times 10000 + 9 \times 1000 + 4 \times 100 + 8 \times 10 + 5 \times 1\].
Number 6:
| TTh | Th | H | T | O |
| 2 | 9 | 0 | 8 | 5 |
Since we have two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 9 in thousand place, 0 in the hundreds place, 8 in tens place which means $8 \times 10$, and 5 in ones place. Therefore, it becomes twenty-nine thousand eighty five.
Hence, the number in words is: Twenty nine thousand eighty five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousands place. Therefore, we have $2 \times 10000$.
Similarly, there is a 9 in Thousands place. So, we then have $9 \times 1000$, there is 8 in tens place. So, we have $8 \times 10$. And, we have 5 in ones place. So, we have $5 \times 1$.
Hence, the expanded form is \[29,085 = 2 \times 10000 + 9 \times 1000 + 0 \times 100 + 8 \times 10 + 5 \times 1\].
We can write it as:-
\[29,085 = 2 \times 10000 + 9 \times 1000 + 8 \times 10 + 5 \times 1\]
Number 7:
| TTh | Th | H | T | O |
| 2 | 0 | 0 | 8 | 5 |
Since, we have a two in Ten thousands place. So, we have $2 \times 10$ that is 20 thousand.
Now, we also have 0 in thousand places, 0 in the hundreds place, 8 in tens place which means $8 \times 10$, and 5 in one place. Therefore, it becomes twenty thousand eighty-five.
Hence, the number in words is Twenty thousand eighty-five.
Now, we need to write this in expanded form:
Since 2 is in the Ten Thousand place. Therefore, we have $2 \times 10000$.
So, we have $8 \times 10$. And, we have 5 in one place. So, we have $5 \times 1$. (Rest all are zero)
Hence, the expanded form is \[20,085 = 2 \times 10000 + 0 \times 1000 + 0 \times 100 + 8 \times 10 + 5 \times 1\].
We can write it as:
\[20,085 = 2 \times 10000 + 8 \times 10 + 5 \times 1\]
Now, let 5 more numbers be 10000, 30000, 40000, 60000 and 70000.
Using the number name and expansion of 20000 given to us, we will get:-
| 10000 | Ten thousand | \[1 \times 10000\] |
| 30000 | Thirty thousand | \[3 \times 10000\] |
| 40000 | Forty thousand | \[4 \times 10000\] |
| 60000 | Sixty thousand | \[6 \times 10000\] |
| 70000 | Seventy thousand | \[7 \times 10000\] |
$\therefore$ The final answer is:
| Number | Number Name | Expansion |
| 20000 | Twenty thousand | \[2 \times 10000\] |
| 26000 | Twenty six thousand | \[2 \times 10000 + 6 \times 1000\] |
| 38400 | Thirty eight thousand four hundred | \[3 \times 10000 + 8 \times 1000 + 4 \times 100\] |
| 65740 | Sixty five thousand seven hundred forty | \[6 \times 10000 + 5 \times 1000 + 7 \times 100 + 4 \times 10\] |
| 89324 | Eighty nine thousand three hundred twenty four | \[8 \times 10000 + 9 \times 1000 + 3 \times 100 + 2 \times 10 + 4 \times 1\] |
| 50000 | Fifty thousand | \[5 \times 10000\] |
| 41000 | Forty one thousand | \[4 \times 10000 + 1 \times 1000\] |
| 47300 | Forty seven thousand three hundred | \[4 \times 10000 + 7 \times 1000 + 3 \times 100\] |
| 57630 | Fifty seven thousand six hundred thirty | \[5 \times 10000 + 7 \times 1000 + 6 \times 100 + 3 \times 10\] |
| 29485 | Twenty nine thousand four hundred eighty five | \[2 \times 10000 + 9 \times 1000 + 4 \times 100 + 8 \times 10 + 5 \times 1\] |
| 29085 | Twenty nine thousand eighty five | \[2 \times 10000 + 9 \times 1000 + 8 \times 10 + 5 \times 1\] |
| 20085 | Twenty thousand eighty five | \[2 \times 10000 + 8 \times 10 + 5 \times 1\] |
| 10000 | Ten thousand | \[1 \times 10000\] |
| 30000 | Thirty thousand | \[3 \times 10000\] |
| 40000 | Forty thousand | \[4 \times 10000\] |
| 60000 | Sixty thousand | \[6 \times 10000\] |
| 70000 | Seventy thousand | \[7 \times 10000\] |
Note:
The students must remember the spellings of all the words they might require in writing the numbers in word form.
The students must know the difference between place value and face value. One of the most important differences is that place value refers to the position of the digit and the face value represents the actual value of the digit. For example, 5 on Th place (place value) will have the face value of 5 is $5 \times 1000$ (face value).
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