Write the following numbers in the generalised form:
(i) 89
(ii) 207
(iii) 369
Answer
643.8k+ views
Hint: Break the numbers in a place value table for a better understanding and then write it in the generalised form, which is “A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values”.
Complete step by step solution:
Let make a table for the given question first
So for question (i) can be written as \[89 = 8 \times 10 + 9\]
Because we can easily see that 8 is in the tens place of the table and 9 is on the ones place of the table so we multiplied 8 with 10 and then added it with 9 multiplied by 1.
Similarly (ii) can be written as \[207 = 2 \times 100 + 0 \times 10 + 7\]
As we can see that 2 is in the hundreds place of the table so we have multiplied 2 with 100 and then added it with 0 because it is in the tens place of the table and 7 is on the ones place of the table so we multiplied 0 with 10 and then added it with 7 multiplied by 1.
And (iii) can be written as \[369 = 3 \times 100 + 6 \times 10 + 9\]
Here also we can observe 3 is in the hundreds place of the table so we have multiplied 3 with 100 and then added it with 6 because it is in the tens place of the table and 9 is on the ones place of the table so we multiplied 0 with 10 and then added it with 9 multiplied by 1.
Note:
Whenever writing a generalised form of a number, regardless that the number is in millions or in crores first of all, always make a place value table so you will never make any mistake while writing the generalised form.
Complete step by step solution:
Let make a table for the given question first
| Hundred | Tens | Ones | Actual number | |
| (i) | 0 | 8 | 9 | 89 |
| (ii) | 2 | 0 | 7 | 207 |
| (iii) | 3 | 6 | 9 | 369 |
So for question (i) can be written as \[89 = 8 \times 10 + 9\]
Because we can easily see that 8 is in the tens place of the table and 9 is on the ones place of the table so we multiplied 8 with 10 and then added it with 9 multiplied by 1.
Similarly (ii) can be written as \[207 = 2 \times 100 + 0 \times 10 + 7\]
As we can see that 2 is in the hundreds place of the table so we have multiplied 2 with 100 and then added it with 0 because it is in the tens place of the table and 7 is on the ones place of the table so we multiplied 0 with 10 and then added it with 7 multiplied by 1.
And (iii) can be written as \[369 = 3 \times 100 + 6 \times 10 + 9\]
Here also we can observe 3 is in the hundreds place of the table so we have multiplied 3 with 100 and then added it with 6 because it is in the tens place of the table and 9 is on the ones place of the table so we multiplied 0 with 10 and then added it with 9 multiplied by 1.
Note:
Whenever writing a generalised form of a number, regardless that the number is in millions or in crores first of all, always make a place value table so you will never make any mistake while writing the generalised form.
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