Question

22. Rounding to the nearest tenth, which of the following give an underestimate? 39 45 x 1 . 0 2754x074 0 991x8.74 |x 78.95 x 1.26 [ 18.19 x 2.28

Answer 1

Given:

To round off to the nearest tenth of the given numbers and identify the underestimate term.

Consider the first term.

$\begin{gathered} 39.45\times1.7 \\ =67.065 \\ \approx67.1 \end{gathered}$

Consider the second term.

$\begin{gathered} 27.54\times0.74 \\ =20.3796 \\ \approx20.4 \end{gathered}$

Consider the third term.

$\begin{gathered} 9.91\times8.74 \\ =86.6134 \\ \approx86.6 \end{gathered}$

Consider the fourth term.

$\begin{gathered} 78.95\times1.26 \\ =99.477 \\ \approx99.5 \end{gathered}$

Consider the fifth term.

$\begin{gathered} 18.19\times2.28 \\ =41.4732 \\ \approx41.5 \end{gathered}$

Thus, the obtained results are 67.1, 20.4, 86.6, 99.5, 41.5.

By comparing the results the underestimate term will be 20.4

Hence, option (b) is the correct answer.