TABLES, CHARTS AND SCHEDULES

TOPICS

1. Square and Square Root Tables
2. Charts, Records and Schedules (tabulated data, flight schedules and timetables)

Square and Square Root Tables

The statistical/four-figure table can be used to find the squares and square roots of four-digit numbers.

Example 1:

1. With the use of tables, evaluate:

(a) \(33.62^2\) (b) \(0.36^2\)

Solution:

(a) \(33.62^2\)

\(33.62\) lies between \(30\) and \(40\). Therefore \(33.62^2\) lies between \(30^2\) and \(40^2\)

\(30^2 = 900\)

\(40^2 = 1600\)

Thus, \(33.62^2\) lies between \(900\) and \(1600\)

Locate \(33\) under the letter \(x\). Move to the right and locate the number under \(6\). This number is \(1129\). Locate the number under difference \(2\).

This number is \(1\). Add \(1\) to \(1129\) to give \(1130\).

Therefore, \(33.62^2 = 1130\)

(b) \(0.36 = 3.6 × 10^{-1}\)

\(0.36^2 = (3.6 × 10^{-1})^2\)

\(= 3.6^2 × 10^{-2}\)

\(3.6\) is between \(3\) and \(4\)

\(3^2 = 9\)

\(4^2 = 16\)

Therefore \(3.6^2\) is between \(9\) and \(16\).