Question

estimate. which sign makes the statement true?
17? \\(\frac{8}{9}\\) × 85

< =

submit

Explanation:

Step1: Calculate \(\frac{8}{9} \times 85\)

First, we can rewrite \(85\) as \(\frac{85}{1}\), so \(\frac{8}{9} \times \frac{85}{1}=\frac{8\times85}{9}=\frac{680}{9}\approx75.56\) (we can also estimate by noting that \(\frac{8}{9}\) of \(81\) is \(72\), and \(\frac{8}{9}\) of \(4\) is about \(3.56\), so \(72 + 3.56\approx75.56\))

Step2: Compare \(17\) and \(75.56\)

We know that \(17\) is less than \(75.56\)

Answer:

\(17\ <\ \frac{8}{9} \times 85\) (So the correct sign is \(<\))