Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

970299 z cobe root of what and how

OpenStudy (anonymous):

\[(99)^3\]

OpenStudy (anonymous):

how zaisha

OpenStudy (anonymous):

(99)^3=970299 .. type that on a calculate and see or else multiply 99*99*99

OpenStudy (anonymous):

\[99*99*99=970299\]

OpenStudy (anonymous):

but in competative exmz calculators r nt allowed na

OpenStudy (anonymous):

so just multiply 99*99*99 ..then you will get the answer

OpenStudy (anonymous):

there z very less tym to ans nd how could i knw itz 99 yhen multiply

OpenStudy (anonymous):

there is a trick to follow.. First, memorize the cubes of the digits 1 through 9: 1, 8, 27, 64, 125, 216, 343, 512, 729.

OpenStudy (anonymous):

Next memorize the "endings" of the cubes. For example, the ending of 93 is 9, because 93 = 729. The "ending" (or last digit) is 9.

OpenStudy (anonymous):

So let's make a list. "1 cubed ends in 1" is abbreviated "1 --> 1". 1 --> 1 2 --> 8 3 --> 7 4 --> 4 5 --> 5 6 --> 6 7 --> 3 8 --> 2 9 --> 9

OpenStudy (anonymous):

Now how to do the trick! Tell a friend to secretly pick any two-digit number and then have him or her use a calculator to cube it. Let's say he picks 76. So using the calculator he computes 76 x 76 x 76 . He then tells you the cube: 438,976. To instantly determine his original number (ie, compute the cube root), follow these easy steps: Drop the last three digits and find the largest cube contained in 438. This is 73 = 343, so the tens-digit is 7. (This is why you had to memorize the cubes of the digits 1 through 9) Now go back to the last three digits. Look at the last digit, 6. That's the same ending as 63, so your units-digit is 6. (This is why you had to memorize the "endings" of the cubes for digits 1 through 9) So the cube root of 438,976 is 76

OpenStudy (anonymous):

thnaxxx so much dear zaisha

OpenStudy (anonymous):

no problem

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!