2.2 Estimate the answer of each of the following by rounding off both numbers to the nearest hundred. \( \begin{array}{ll}2.2 .1 & \text { a) } 2371+1625 \\ 2.22 & \text { b) } 5362 \div 893 \\ 2.3 & \text { Determine the value of a certain number, when multiplied by itself, it gives the same } \\ \text { value as } 567 \times 63 \text {. }\end{array} \) (2) [10]

To estimate the answers by rounding both numbers to the nearest hundred, let’s do some quick calculations! For the first sum \(2371 + 1625\): - Rounding 2371 to the nearest hundred gives us 2400, - Rounding 1625 to the nearest hundred gives us 1600. - Adding them together: \(2400 + 1600 = 4000\). For the second division \(5362 \div 893\): - Rounding 5362 to the nearest hundred gives us 5400, - Rounding 893 to the nearest hundred gives us 900. - Dividing them: \(5400 \div 900 \approx 6\). Now, for the last part, we need to find a number which, when multiplied by itself, equals \(567 \times 63\). Calculating \(567 \times 63\) gives us 35,661. To find the number, take the square root: \(\sqrt{35661} \approx 189\). So, \(4000\) and \(6\) are our estimates for the arithmetic problems, and the number that multiplied by itself gives \(35,661\) is approximately \(189\).