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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.
Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As: r 2 - 4r + 9 = 0
Parametric objective-function problems
Leo works at the Bagel Shop after school and on Saturdays. He is paid $4.00 per hour after school and $5.00 per hour on Saturday. Last week Leo worked a total of 12 hours and made
Find the normalized differential equation which has {x, xex} as its fundamental set
predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.
Peggy's town has an average temperature of 23° Fahrenheit in the winter. What is the average temperature on the Celsius scale? If the total amount for both is 80, after that th
A tower and a monument stand on a level plane. the angles of depression on top and bottom of the monument viewed from the top of the tower are 13 degrees and 31 degrees, respective
THE MULTIPLICATION ALGORITHM : Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas
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