Question

21 9. Estimate the following quotients by rounding off each number to its nearest hundreds (1) 2472 ÷ 493 (ii) 7459 ÷ 286 ​

Answer 1

(1) is 100 and (2) is 100.

• Estimation is a sort of rounding off. In courses like math and physics as well as in daily life, estimation is applied. Many physical values, including money, travel distance, length measured, and others, are estimated by rounding the actual value to the closest whole number.
• When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off. Simply put, the number of figures that are known with some degree of certainty constitutes the number of important figures in a result.

Here, according to the given information, the first division is,

2472 ÷ 493.

Now, here, the quotient is, 5.

Then, 5 can be rounded up to 100.

The next question is,  7459 ÷ 286 .

The quotient here is 26.

Here, too, 26 can be rounded up to 100.

Hence, (1) is 100 and (2) is 100.

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