
Write the place name and place value of each digit in the following numbers.
1. $35,705$
2. $7,82,899$
3. $82,74,508$
Answer
486.6k+ views
Hint: As we know place name is the position of digit in the number like ones, tens, hundreds, thousands and so on. Also, the place value of a digit is the value of its position multiplied by the digit itself. So, the place value is calculated by multiplication of digit by the value of its position like $5 \times 10 = 50$ for digit $5$ and place name Tens.
Complete step-by-step answer:
1.$35,705$
The given number has $5$ digits.
The digit $5$ has:
Place name=Ones
Place value $ = 5 \times 1 = 5$
The digit $0$ has:
Place name=Tens
Place value $ = 0 \times 10 = 0$
The digit $7$ has:
Place name=Hundreds
Place value $ = 7 \times 100 = 700$
The digit $5$ has:
Place name=Thousands
Place value $ = 5 \times 1000 = 5000$
The digit $3$ has:
Place name=Ten thousands
Place value $ = 3 \times 10,000 = 30,000$
2. $7,82,899$
The given number has $6$ digits.
The digit $9$ has:
Place name=Ones
Place value $ = 9 \times 1 = 9$
The digit $9$ has:
Place name=Tens
Place value $ = 9 \times 10 = 90$
The digit $8$ has:
Place name=Hundreds
Place value $ = 8 \times 100 = 800$
The digit $2$ has:
Place name=Thousands
Place value $ = 2 \times 1000 = 2000$
The digit $8$ has:
Place name=Ten thousands
Place value $ = 8 \times 10,000 = 80,000$
The digit $7$ has:
Place name=Lakhs
Place value $ = 7 \times 1,00,000 = 7,00,000$
3. $82,74,508$
The given number has $7$ digits.
The digit $8$ has:
Place name=Ones
Place value $ = 8 \times 1 = 8$
The digit $0$ has:
Place name=Tens
Place value $ = 0 \times 10 = 0$
The digit $5$ has:
Place name=Hundreds
Place value $ = 5 \times 100 = 500$
The digit $4$ has:
Place name=Thousands
Place value $ = 4 \times 1000 = 4000$
The digit $7$ has:
Place name=Ten thousands
Place value $ = 7 \times 10,000 = 70,000$
The digit $2$ has:
Place name=Lakhs
Place value $ = 2 \times 1,00,000 = 2,00,000$
The digit $8$ has:
Place name=Ten lakhs
Place value $ = 8 \times 10,00,000 = 80,00,000$
Note: The place name and place value can also be shown in tabular form as shown below:
Let us take part first $35,705$
Its tabular form is represented as:
Complete step-by-step answer:
1.$35,705$
The given number has $5$ digits.
The digit $5$ has:
Place name=Ones
Place value $ = 5 \times 1 = 5$
The digit $0$ has:
Place name=Tens
Place value $ = 0 \times 10 = 0$
The digit $7$ has:
Place name=Hundreds
Place value $ = 7 \times 100 = 700$
The digit $5$ has:
Place name=Thousands
Place value $ = 5 \times 1000 = 5000$
The digit $3$ has:
Place name=Ten thousands
Place value $ = 3 \times 10,000 = 30,000$
2. $7,82,899$
The given number has $6$ digits.
The digit $9$ has:
Place name=Ones
Place value $ = 9 \times 1 = 9$
The digit $9$ has:
Place name=Tens
Place value $ = 9 \times 10 = 90$
The digit $8$ has:
Place name=Hundreds
Place value $ = 8 \times 100 = 800$
The digit $2$ has:
Place name=Thousands
Place value $ = 2 \times 1000 = 2000$
The digit $8$ has:
Place name=Ten thousands
Place value $ = 8 \times 10,000 = 80,000$
The digit $7$ has:
Place name=Lakhs
Place value $ = 7 \times 1,00,000 = 7,00,000$
3. $82,74,508$
The given number has $7$ digits.
The digit $8$ has:
Place name=Ones
Place value $ = 8 \times 1 = 8$
The digit $0$ has:
Place name=Tens
Place value $ = 0 \times 10 = 0$
The digit $5$ has:
Place name=Hundreds
Place value $ = 5 \times 100 = 500$
The digit $4$ has:
Place name=Thousands
Place value $ = 4 \times 1000 = 4000$
The digit $7$ has:
Place name=Ten thousands
Place value $ = 7 \times 10,000 = 70,000$
The digit $2$ has:
Place name=Lakhs
Place value $ = 2 \times 1,00,000 = 2,00,000$
The digit $8$ has:
Place name=Ten lakhs
Place value $ = 8 \times 10,00,000 = 80,00,000$
Note: The place name and place value can also be shown in tabular form as shown below:
Let us take part first $35,705$
Its tabular form is represented as:
Digit | Place Name | Place Value |
$5$ | Ones | $5 \times 1 = 5$ |
$0$ | Tens | $0 \times 10 = 10$ |
$7$ | Hundreds | $7 \times 100 = 700$ |
$5$ | Thousands | $5 \times 1000 = 5000$ |
$3$ | Ten thousands | $3 \times 10,000 = 30,000$ |
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