Question

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Answer 1

Use the number line to approximate the location of the following numbers;

`\begin{gathered} (1)\text{ }\sqrt[]{9}=3 \\ (2)\text{ }\sqrt[]{15} \\ \text{Note that this lies between 3 and 4. } \\ \text{That is between }\sqrt[]{9\text{ }}\text{ and }\sqrt[]{16}\text{ (more than half the distance between 3 and 4)} \\ (3)\text{ }-(7)/(4) \\ =-1(3)/(4) \\ \text{This lies beyond half the distance between -1 and -2} \\ (4)\text{ }(4)/(9) \\ \text{This is less than 0.5 (0.4444}\ldots)\text{ and therefore lies just before half the distance between 0 and 1} \end{gathered}`