1. Fill in the blanks.
A. 69,365 rounded off to the highest place is ________.
B. 47,35,223 rounded off to the highest place is ________.
2. Estimate the answers.
A. 74,345 + 65,987
B. 124,657 + 54,385
C. 4,32,907 - 2,42,357
D. 676,004 - 199,205
E. 23,754 x 686
F. 3,25,476 x 119
G. 74,454 + 738
H. 765,442 + 4,834
3. The number of male students in a city is 29,580 and that of female students is 21,344. About how many fewer females are there than males?
Answer (2)
Let's tackle the questions one by one, starting with rounding numbers and estimating the answers.
Fill in the blanks:
A. To round 69,365 to its highest place, which is the ten-thousands place, we look at the thousands digit (9). Since it's 5 or greater, we round up. So, 69,365 rounds to 70,000.
B. Rounding 47,35,223 to its highest place, the ten-million place, we look at the millions digit (7). Since it's 5 or greater, we round up. So, 47,35,223 rounds to 50,00,000.
Estimate the answers:
A. For 74,345 + 65,987, round each number to the nearest ten thousand: 74,000 + 66,000 = 140,000.
B. For 124,657 + 54,385, round each number to the nearest ten thousand: 125,000 + 54,000 = 179,000.
C. For 4,32,907 - 2,42,357, round each number to the nearest hundred thousand: 4,30,000 - 2,40,000 = 190,000.
D. For 676,004 - 199,205, round each number to the nearest hundred thousand: 680,000 - 200,000 = 480,000.
E. For 23,754 x 686, approximate by rounding each number to a convenient figure: 24,000 x 700 = 16,800,000.
F. For 3,25,476 x 119, approximate by rounding: 3,25,000 x 120 = 39,000,000.
G. For 74,454 + 738, rounding to the nearest thousand for the first and rounding the second: 74,000 + 1,000 = 75,000.
H. For 765,442 + 4,834, approximate by rounding: 765,000 + 5,000 = 770,000.
Compare the number of male and female students:
The number of male students is 29,580 and the number of female students is 21,344. To find how many fewer females there are, subtract the number of female students from the number of male students: 29,580 - 21,344 = 8,236.
So, there are approximately 8,236 fewer female students than male students.
When rounding, 69,365 rounds to 70,000 and 47,35,223 rounds to 50,00,000. Estimates for the sums and differences vary; for example, 74,345 + 65,987 estimates to 140,000 while the difference 4,32,907 - 2,42,357 estimates to 190,000. Finally, there are about 8,236 fewer female students than male students in the city.
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