Question

Vivian approximated the value of the cube root of 1010 to be 10.0. William claimed that 10.1 is a closer approximation. Whose approximation, Vivian’s or William’s, is closer to the cube root of 1010. Explain your reasoning.

Answer 1

10.0 ------- Vivian is correct

Step-by-step explanation

Firstly, find the cube root of 1010

`\sqrt[3]{1010\text{ }}\text{ = 10.033}`

In the above calculation, the cube root of 1010 is 10.003

The correct approximation of the above value is 10.0. This is because the hundredth value is not upto 5

Recall, figures from 1 - 4 are rounded to zero and figures from 5- 9 are rounded up to 1

since 3 is not upto 5, so it is rounded down to zero

Therefore, Vivian is correct