Numeration Systems Name:MA 201WARNING: You must SHOW ALL OF YOUR WORK. You will receive NO CREDIT if youdo not show your work.1. (a) Use Egyptian symbols to represent 456, 973.(b) Use Egyptian symbols to represent 22, 145.(c) Add 456, 973 and 22, 145 using Egyptian symbols. Your final answer should use theminimum number of symbols possible. What exchanges did you make to reduce thenumber of symbols in your answer? How do these exchanges relate to ”carrying” inaddition?(d) Subtract 22, 145 from 456, 973 using Egyptian symbols. Your final answer should usethe minimum number of symbols possible. What exchanges did you need to make to beable to carry out the subtraction algorithm by using take-away? How do these exchangesrelate to borrowing in subtraction?2. Jake owns a shipping company. He has four different box sizes:XL, L, M, and S. Today Jakemust ship 51, 339 books to Indiana. Jake wants to use the minimum number of boxes possible,but he also must be certain that each box is completely full. If an XL box holds 7, 200 books,and L box holds 360 books, an M box holds 20 books, and an S box holds 1 book, how manyboxes of each type must Jake use?3. Will Jake ever need to use 19 M boxes for a shipment of books? Explain briefly.4. If Jake ships 2 XL boxes, 6 L boxes, 18 M boxes, and 0 S boxes to West Virginia, how manybooks did Jake ship to West Virginia?5. Write the Mayan notation for 51, 339.6. Do exercise 1(k) on page 152 of your text.7. How does Mayan notation relate to Jake’s shipping problem?1Suppose that you live in Blockville. The residents of Blockville use colored blocks for money.The following table shows how their money system works.Everybluepinkyellowbrownorangegreenredblock is worth fivepinkyellowbrownorangegreenredwhiteblocks.The citizens of Blockville must never carry more blocks than absolutely necessary. Answerthe following questions based on the above information.8. One yellow block is equivalent to white blocks.9. One green block is equivalent to white blocks.10. Joni has four thousand five hundred fifty-three white blocks. She must exchange these blocksso that she has the minimum number of blocks possible. In the chart below, record the numberof each type of block that Joni will have after the exchange.blue pink yellow brown orange green red white11. Joni has three blue blocks, four yellow blocks, one brown block, two green blocks, fourred blocks, and three white blocks. All of Joni’s blocks (taken together) are equivalent towhite blocks.12. Will you ever need to have five orange blocks? Briefly explain.13. How is this exercise related to base five
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