Write the following numbers in order of size, starting with the smallest. $-\sqrt{9.87}$, $-\dfrac{22}{7}$, -314.2%, $-3.143$ Answer ... , ... , ... , ...

1. Convert or approximate each number as a decimal for comparison.

$-\sqrt{9.87}\approx -3.1417$

$-\dfrac{22}{7}\approx -3.142857\ldots$

$-314.2\%=-\dfrac{314.2}{100}=-3.142$

$-3.143=-3.143$

2. Arrange the negative decimals from smallest to largest.

For negative numbers, the more negative value is smaller.

$-3.143<-3.142857\ldots<-3.142<-3.1417\ldots$

So the original numbers in increasing order are

$-3.143,\ -\dfrac{22}{7},\ -314.2\%,\ -\sqrt{9.87}$