Question

find the cube roots of the 10648 through estimation​

Answer 1

Answer:

Let us consider the given number as two groups starting from the unit digit.

Here the groups are: 648 which is the first group and 10 which is the second group. From the first group we calculate the unit digit.

The unit digit of 648 is 8=2³. Therefore the unit digit of our required number is 2.

Now considering the second group for the 10's digit.

8>10>27

i.e2³>10>3³

Here we choose the smaller number that is 2 as our 10's digit ,

³√10648=22

hope this answer useful to you

Answer 2

Answer:

Given:

• the number 1068

To find:

• the cube root by estimation method.

Solving Question:

What is a Estimation method ?

   It is a shortcut method to find the cube root of a large number ,without using the long division or any method.

• let's start with the number 10648.Take 3 digits from the rightmost and group it $\implies \overline{10}\:\:\:\overline{648}$    

                                           

• Take the first group $\overline{648}$ it will give the unit place digit. The number,here, ends in 8 ,therefore the unit digit is 2 because its cube  only ends in 8.

• Then, take the second group $\overline{10}$ and find the range of the number. The number 10 lies between the cube of 2 and 3$\implies 2^3=8 \:and\:3^3=27\\\\thus\:2^3<10>3^3$.Hence tens digit is 2

Thus, the number is 22.