Question

Approximate the number to the nearest (a) integer and (b) tenth: $-\sqrt{87}$.

Answer 1

Given number: $-\sqrt{87}$.

We know that

$-\sqrt{81}=-9$ and $-\sqrt{100}=-10$

So, $-\sqrt{87}$ will lie in between $-9$ and $-10$.

Now, $-\sqrt{87}=-9.3273...$

(a) Approximate the numbers $-\sqrt{87}$ to the nearest integer.

Let $-\sqrt{87}=-9.32$

The value of $-\sqrt{87}$ lies between $-9$ and $-10$ but is more closer to the integer $-9$.

Approximate value of $-\sqrt{87}$ to the nearest integer is $-9$.

(b) Approximate value of $-\sqrt{87}$ to the nearest tenth:

Round the number to the nearest tenth by removing the digits after one digit of decimal point.

Approximate value of $-\sqrt{87}$ to the nearest tenth is $-9.3$.

Hence, approximate value of $-\sqrt{87}$ to the nearest integer is $-9$.

and approximate value of $-\sqrt{87}$ to the nearest tenth is $-9.3$.