Question

Order the set of number from least to greatest .

Answer 1

Answer (Please vote me Brainliest if this helps!):

The answer is D

Step-by-step explanation:

Lets start off with the square roots:

$\sqrt{16}$ = 4

$\sqrt{18}$ = $3\sqrt{2}$ = 4.24264...

Mixed fraction:

$4\frac{2}{3}$ = 4.667

Therefore the answer is D.

Answer 2

9514 1404 393

Answer:

  d. √16, 4.23_23, √18, 4 2/3

Step-by-step explanation:

There are a couple of different ways to compare these numbers. Maybe one of the most straightforward is to find the decimal equivalent, rounded to hundredths.

  4.23_23 ≈ 4.23

  4 2/3 ≈ 4.67

  √18 ≈ 4.24

  √16 = 4.00

These can be sorted least-to-greatest by putting the first number (4.23) between the last two (4.00, 4.24) and reading the new list last-to-first.

  4.00, 4.23, 4.24, 4.67   ⇔   √16, 4.23..., √18, 4 2/3

_____

Additional comment

Another way to work this problem is to square the numbers not under a radical. 4.23...² ≈ 17.91 and (4 2/3)² ≈ 21.78. The ordering of the squares is the same as the ordering of their square roots.

  16 < 17.91 < 18 < 21.78   ⇔   √16 < 4.23... < √18 < 4 2/3