What are some strategies you can use to mentally solve this expression?
What is an example of a calculation using one operation (addition, subtraction, multiplication, or division) that cannot be easily computed mentally? What are some strategies you can use to mentally solve this expression? Which mathematical properties does your strategy require?
square roots are alot like women. if they’re…
oh…wait…just one operation. let’s see…
i have a difficult time squaring (multiplying) a million by a million. the strategy is to use exponents but when i put all those zeroes in the answer…it’s difficult to comprehend mentally.
Also…any situation involving a formula, ‘work’ for example. how to figure work. the strategy: 1) know the formula (i.e. work = force * distance [physics] or work = rate * time [business]) and 2) use dimensional analysis to solve and check the answer (i.e. work units might be letters so the rate would be letters per time and the time units = minutes)
last thought…never use an answer without reflecting upon the feasibility of it. i mean…does it really make sense that a baseball pitcher hurls a slider at 217 mph? probably not.
Well…
Good luck.
Oh, there are many, many operations that can’t be computed mentally very easily. Just look at functions with irrational outputs, like non-integer powers, trig functions, etc. To calculate them mentally is infeasible, although technically possible.
If you wanted to calculate values of these irrational functions, you would need knowledge of infinite series, power series, taylor series, taylor’s theorem, and factorials. To do it mentally you would have to be able to calculate larger powers of a number, and add multiple large fractions together. Like I said, it’s infeasible.
References :
square roots are alot like women. if they’re…
oh…wait…just one operation. let’s see…
i have a difficult time squaring (multiplying) a million by a million. the strategy is to use exponents but when i put all those zeroes in the answer…it’s difficult to comprehend mentally.
Also…any situation involving a formula, ‘work’ for example. how to figure work. the strategy: 1) know the formula (i.e. work = force * distance [physics] or work = rate * time [business]) and 2) use dimensional analysis to solve and check the answer (i.e. work units might be letters so the rate would be letters per time and the time units = minutes)
last thought…never use an answer without reflecting upon the feasibility of it. i mean…does it really make sense that a baseball pitcher hurls a slider at 217 mph? probably not.
Well…
Good luck.
References :