Question 22 of 43intermediate🔧 ApplyNumerical4 marks

14,63,128 – 4,90,020 Roxie: "The difference is near 10,00,000 and is less than 10,00,000." Estu: "The difference is near 9,00,000 and is more than 9,00,000." (a) Are these estimates correct? Whose estimate is closer to the difference? (b) Will the difference be greater than 9,50,000 or less than 9,50,000? Why do you think so? (c) Will the difference be greater than 9,63,128 or less than 9,63,128? Why do you think so? (d) Exact value of 14,63,128 – 4,90,020 = _____

(a)
Answer

Both estimates are correct. The difference is 9,73,108 which is less than 10,00,000 and more than 9,00,000. Roxie's estimate (near 10,00,000) is closer because 10,00,000 - 9,73,108 = 26,892, while 9,73,108 - 9,00,000 = 73,108, and 26,892 < 73,108.

(b)
Answer

The difference will be greater than 9,50,000. We can estimate: 14,60,000 - 4,90,000 = 9,70,000 approximately, which is greater than 9,50,000.

(c)
Answer

The difference will be greater than 9,63,128. The exact difference is 9,73,108 which is 9,980 more than 9,63,128.

(d)
Answer

9,73,108

Explanation

(a) The actual difference is 9,73,108. Distance from 9,00,000 is 73,108. Distance from 10,00,000 is 26,892. So Roxie's estimate is closer. (b) Rough estimation shows the difference will be around 9,70,000. (c) Calculate exact difference and compare. (d) Subtract: 14,63,128 - 4,90,020 = 9,73,108

PreviousNext