Question

Put the following numbers in order from least to greatest: π/2,-4,0.09,17,√3,-1/7,√225

Answer 1

`-4, -1/7, 0.09, \pi/2, \sqrt3, √(225), 17`

Explanation:

So we have the numbers:

`\pi/2, -4, 0.09, 17, \sqrt3, -1/7, √(225)`

(And without using a calculator) approximate each of the values.

π is around 3.14, so π/2 is around 1.57.

17 squared is 289, so 1.7 squared is 2.89. Thus, the square root of 13 is somewhere between 1.7 and 1.8.

-1/7 can be divided to be about -0.1429...

And the square root of 225 is 15.

Now, use the approximations to place the numbers:

`\pi/2\approx1.57; -4; 0.09;17;\sqrt3 \approx1.7; -1/7\approx-0.14;√(225)=15`

The smallest is -4.

Next is -1/7 or about -0.14

Followed by the first positive, 0.09.

And then with π/2 or 1.57

And then a bit bigger with the square root of 3 or 1.7.

And then with the square root of 225 or 15.

And finally the largest number 17.

Thus, the correct order is:

`-4, -1/7, 0.09, \pi/2, \sqrt3, √(225), 17`

Answer 2

-4, -1/7,0.09,π/2,√3 ,√225,17

Explanation:

π/2, is approx 1.5

-4,

0.09,

17,

√3 is approx 1.7

,-1/7, is approx -.143

√225 = 15

From most negative to greatest

-4, -1/7,0.09,π/2,√3 ,√225,17