Question

1. the list of values below is ordered from greatest to least. 6,5\frac{4}{5},|7|,sqrt{30},5.3 select two values that could represent the missing number. 5.4

\frac{22}{sqrt{16}}
2sqrt{10}
\frac{18}{pi}

Explanation:

Step1: Simplify given numbers

$5\frac{4}{5}=\frac{5\times5 + 4}{5}=\frac{29}{5}=5.8$, $|7| = 7$, $\sqrt{30}\approx5.48$.

Step2: Simplify options

• Option 1: $5.4$ is less than $\sqrt{30}\approx5.48$, so it is too small.
• Option 2: $\frac{22}{\sqrt{16}}=\frac{22}{4} = 5.5$. Since $5.3<5.48<5.5<5.8$, this could be a missing - number.
• Option 3: $2\sqrt{10}=\sqrt{4\times10}=\sqrt{40}\approx6.32$. Since $\sqrt{40}\approx6.32>5.8$, it is too large.
• Option 4: $\frac{18}{\pi}\approx\frac{18}{3.14}\approx5.73$. Since $5.3<5.48<5.73<5.8$, this could be a missing - number.

Answer:

$\frac{22}{\sqrt{16}}$, $\frac{18}{\pi}$