Indices+-+Claire

__**INDEX NOTATION, SQUARES AND SQUARE ROOTS**__

Welcome to my page. This page has been designed to tell you all about index notation, squares and square roots and how they work. Hope fully it will prepare you for the upcoming maths test.

**__INDICIES__** **EXAMPLE-**  **SUMMAR****Y** - You multiply the base by however many times the small number or index reads. So if the equation reads **4****5,** you multiply the 4 five times like this: 4 x 4 x 4 x 4 x 4 If the question says to expand your answer would be the same as above, however if the question said to write in index form, the answer would be 4 5. If it said to evaluate you would write the answer to the sum. In this case, it would be 1024. **REVISION QUESTIONS-** Have a go at expanding and evaluating these: **1.**14** 3 ** ** 2. ** 9** 6 **  ** 3. ** 25** 2 **  ** 4. ** 10 **5**   ** 5. ** 3 **4**   ANSWERS: <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**1.** 14 x 14 x 14 = 2744 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**2.** 9 x 9 x 9 x 9 x 9 x 9 = 531441  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**3.** 25 x 25 = 625  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**4.** 10 x 10 x 10 x 10 x 10 = 100,000  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**5.** 3 x 3 x 3 x 3 = 81 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">Now moving on to.......  <span style="color: #f77ed4; font-family: 'Comic Sans MS',cursive; font-size: 130%;">__**SQUARE NUMBERS**__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;"><span style="color: #10f9a5; font-family: 'Comic Sans MS',cursive; font-size: 130%;">**SUMMARY-** A number is squared or raised to the power of 2 when it is multiplied by itself. <span style="color: #2af8a6; font-family: 'Comic Sans MS',cursive; font-size: 130%;">** EXAMPLE- **



<span style="color: #f77ed4; font-family: 'Comic Sans MS',cursive; font-size: 130%;">__**SQUARE ROOTS**__

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;"> **SUMMARY** - The square root is a number when multiplied by itself gives the original number. <span style="color: #00ffcf; font-family: 'Comic Sans MS',cursive; font-size: 130%;">** EXAMPLE- **

<span style="color: #29ffb7; display: block; font-family: 'Comic Sans MS',cursive; font-size: 130%; text-align: left;">**REVISION QUESTIONS-** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: large; text-align: left;">Have a go at these questions...

<span style="display: block; font-family: 'Comic Sans MS',cursive; text-align: left;">** 1. ** 5 squared <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: large; text-align: left;"> ANSWERS
 * 2. ** 3 to the power of 2
 * 3. ** 4 2
 * 4. ** The square root of 64
 * 5. **

<span style="display: block; font-family: 'Comic Sans MS',cursive; text-align: left;">** 1. ** 5 x 5 =25 <span style="color: #f77ed4; display: block; font-family: 'Comic Sans MS',cursive; font-size: large; text-align: left;">Now you know all about square numbers, square roots and index numbers, its time to get studying!!! <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: large; text-align: left;">P.S Hope you found this page useful =) Alice xoxo
 * 2. ** 3 x 3 =9
 * 3. ** 4 x 4 =16
 * 4. ** 64= 8x8- the square root of 64 is 8
 * 5. ** 121= 11x11- the square root of 121 is 11