Data Integration and Migration Tool for Aid Transparency in Rwanda
The Ministry of Finance and Economic Planning in Rwanda implemented a data transfer web service and data conversion interface to enhance aid transparency. The system enables the seamless transfer of data between the IATI registry and DAD Rwanda, reducing manual entry burdens and improving data comparability.
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27 February 2025 Calculation of powers and roots LO: To calculate powers and roots. www.mathssupport.org
Square numbers 4 cm 3 cm 2 cm 1 cm 4 cm 3 cm 1 cm 2 cm 1 cm 2 cm 3 cm 4 cm This is a square whose side length is What is the area of this square? 3 3 4 4 2 2 1 1 To find the area we have to multiply = 12 = 22 = 32 = 42 In exponential form = 1 = 4 = 9 = 16 The area is www.mathssupport.org
Square numbers When we multiply a number by itself we say that we are squaring the number. To square a number we can write a small 2 after it. For example, the number 3 multiplied by itself can be written as 3 3 or 32 The value of three squared is 9. The result of any whole number multiplied by itself is called a square number. www.mathssupport.org
Square root The area of this square is 64 cm2. 8 cm 8 cm What is the length of the sides? We have to find a number that multiplied by itself is 64 64 = 8 Mathematically we say: www.mathssupport.org
Square roots Finding the square root is the inverse of finding the square: squared 82= 8 64 64 = square rooted We write 64 = 8 The square root of 64 is 8. www.mathssupport.org
Use the calculator to find square roots In some calculators to find 49 Use the x2 SHIFT and then And now you type 49 to find out 49. The calculator shows the answer as 7 49 = 7 But and 7 7 = 49 7 7 = 49 Therefore, the square root of 49 is 7 or 7. www.mathssupport.org
Negative square roots When we use the symbol we usually mean the positive square root. We can also write to mean both the positive and the negative square root. Therefore the equation, x2= 25 has 2 solutions, or x = 5 x = 5 www.mathssupport.org
Cube numbers 13 23 33 43 53 63 6 2 2 6 6 4 3 1 1 1 2 3 3 4 4 5 5 5 How many small cubes are there in total? 1 125 8 27 64 216 A number that is the cube of another integer is called a perfect cube number www.mathssupport.org
Cubes The numbers 1, 8, 27, 64, 125 and 216 are all: Cube numbers 1 cubed or 1 to the power of 3 13 = 1 1 1 = 1 2 cubed or 2 to the power of 3 23 = 2 2 2 = 8 3 cubed or 3 to the power of 3 33 = 3 3 3 = 27 4 cubed or 4 to the power of 3 43 = 4 4 4 = 64 5 cubed or 5 to the power of 3 53 = 5 5 5 = 125 6 cubed or 6 to the power of 3 63 = 6 6 6 = 216 www.mathssupport.org
Cube roots Finding the cube root is the inverse of finding the cube: cubed 3 53= 5 125 125 = cube rooted We write 3 125 = 5 The cube root of 125 is 5. www.mathssupport.org
Index notation We use index notation to show repeated multiplication by the same number. For example: we can use index notation to write 2 2 2 2 2 as Index or power 25 base This number is read as two to the power of five . 25 = 2 2 2 2 2 = 32 www.mathssupport.org
Index notation Evaluate the following: 62 = 6 6 =36 When we raise a negative number to an odd power the answer is negative. 34 = 3 3 3 3 =81 ( 5)3 = 5 5 5 = 125 27 = 2 2 2 2 2 2 2 =128 When we raise a negative number to an even power the answer is positive. ( 1)5 = 1 1 1 1 1 = 1 ( 4)4 = 4 4 4 4 =256 www.mathssupport.org
Using a calculator to find powers Depending on the calculator you are using the power key could be ^ , xyor x . For example: to calculate the value of 74 we key in: 7 4 = xy or 7 4 = x or 7 4 ^ EXE The calculator shows this as 2401. 74 = 7 7 7 7 = 2401 www.mathssupport.org
Thank you for using resources from A close up of a cage Description automatically generated For more resources visit our website https://www.mathssupport.org If you have a special request, drop us an email info@mathssupport.org Get 20% off in your next purchase from our website, just use this code when checkout: MSUPPORT_20 www.mathssupport.org
