Review+of+Indices


 * __Review of Indices __** Open this file and save it to your laptop for the notes on today's lesson.  [[file:5.2 1 Review.notebook]]

Now attempt the questions below. 1. Write each expression in index form: a) 2 x 2 x 2 x 2  b) 3 x 3  c) 5 x 5 x 5  d) 7 x 7 x 7 x 7 x 7  e) 10 x 10 x 10  f) 9 x 9 x 9 x 9  g) //y// x //y//  h) //a// x //a// x //a// x //a//  2. Rewrite in expanded form:

3. Determine the basic numeral for: 4. Write as powers of 10: a) 1000  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">b) 100 000 <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;"> 5. Write as powers of 2: <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">a) 64  <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">b) 256 <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;"> 6. Write as powers of 3: <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">a) 27  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">b) 243 <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;"> 7. Express the following integers as products of their prime factors in index form: <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">a) 36  <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;">b) 200 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">8. Find the value of //x// in the following. These are called exponential equations. <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: left;"> 9. As a reward for service, a man asked his king for the amount of rice that would be needed to place one grain of rice on the first square of a chessboard, 2 on the second, 4 on the third, 8 on the fourth, doubling each time, until the 64th square is considered. How many grains of rice would be needed for the 32nd square?