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There are a variety of strategies that people use for developing this ability. For instance, while adding 1821,695 and 250, a person could estimate it mentally
i) by rounding off the numbers and computing with these numbers:
1800+700+200 or1800+700+300
ii) by considering the leftmost digits to form a rough estimate, and then adjusting this estimate by considering the other digits:
first 1000 + 660 + 200, and then add 800 + 100 + 50.
There are several other ways like clustering, combining compatible numbers, and so on Which stately is used depends on the problem under consideration. These, and other strategies, can only be developed by careful instruction, discussion and practice. Consider the following situation, related to this issue.
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
-nCr
A Pythagorean triple is a set of positive integers (a,b,c) like a2 + b2 = c2. Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary? Ans. There are 10 choices for the president
If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans: Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12
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Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the
Illustration 1 In a described exam the scores for 10 students were given as: Student Mark (x) |x-x¯| A 60
The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T
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