1. Write one rational number which is equal to its reciprocal.
2. Express in standard form: 0.00073
3. Find the square root of 24649 by long division method.
4. Find the smallest number by which 21296 must be multiplied to make a perfect cube.
5. Find the cube root of 1331 and hence find the value of
![\sqrt[3]{1.331} - \sqrt[3]{0.001331} \sqrt[3]{1.331} - \sqrt[3]{0.001331}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B1.331%7D++-++%5Csqrt%5B3%5D%7B0.001331%7D+)
6. Find the largest 3-digit perfect square number.
7. A car travels - km in 15 minutes. Find the speed of the car.
8. Find the value of p:
![({625})^{2p - 3} = {5}^{4p} ({625})^{2p - 3} = {5}^{4p}](https://tex.z-dn.net/?f=+%28%7B625%7D%29%5E%7B2p+-+3%7D+%3D++%7B5%7D%5E%7B4p%7D++)
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Answer:
1. 1/1 2. 73/10000 3. (Unknown) 4. Answer is 4 5. (Unknown) 6. 961
Step-by-step explanation:
1. If you reciprocal 1/1 it will be the equal to its reciprocal
2. 0.00073 in standard form = p/q where q is not equal to 0
= 73/10000
4. As 21296 is an even number, it can be multiplied by 4 to make a perfect cube.
6. As the largest 3 digit number is 999, if you add 38 to it, it becomes a 4 digit number so you need to subtract 38 from 999 = 961
38 is the square number.
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