Mathematics
Estimate the following quotients by rounding off each number to its nearest hundreds:
(i) 2472 ÷ 493
(ii) 7459 ÷ 286
Answer
(i) 2472 ÷ 493
Rounding off 2472 to its nearest hundreds: tens digit is 7 (≥ 5), so 2472 → 2,500.
Rounding off 493 to its nearest hundreds: tens digit is 9 (≥ 5), so 493 → 500.
Estimated quotient = 2,500 ÷ 500 = 5.
Hence, the estimated quotient = 5.
(ii) 7459 ÷ 286
Rounding off 7459 to its nearest hundreds: tens digit is 5, so 7459 → 7,500.
Rounding off 286 to its nearest hundreds: tens digit is 8 (≥ 5), so 286 → 300.
Estimated quotient = 7,500 ÷ 300 = 25.
Hence, the estimated quotient = 25.
Related Questions
Estimate the following products by rounding off each of its factors nearest to its hundreds:
(i) 5281 × 3491
(ii) 1387 × 888
Estimate the following quotients by rounding off each number to its nearest tens:
(i) 423 ÷ 29
(ii) 777 ÷ 27
Fill in the blanks:
(i) The digit … has the highest place value in the number 2309
(ii) The digit … has the highest face value in the number 2039
(iii) The digit … has the lowest place value in the number 2039
(iv) Both Indian and International systems of numeration have … period in common.
(v) In the International system of numeration, commas are placed from … after every … digits.
(vi) The bigger number from the numbers 57,631 and 57,361 is ….
(vii) 1 crore = … million
(viii) The smallest 4-digit number with 3 different digits is …
(ix) The greatest 4-digit number with 3 different digits is …
(x) 15 km 300 m = …. m
(xi) 7850 cm = … m … cm
(xii) The number 5079 when estimated to the nearest hundreds is …
State whether the following statements are true (T) or false (F):
(i) The difference between the place value and the face of the digit 7 in the number 2701 is 693.
(ii) The smallest 4-digit number -1 = the greatest 3-digit number.
(iii) The place of a digit is independent of whether the number is written in the Indian system or International system of numeration.
(iv) In the International system, a number having less number of digits is always smaller than the number having more number of digits.
(v) The estimated value of 9999 to the nearest tens is 10000