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The table below shows the values when 2 is raised to certain powers - Junior Cycle Mathematics - Question 3 - 2012

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The table below shows the values when 2 is raised to certain powers. (a) Complete the table. | Power of 2 | Expanded power of 2 | Answer | |-----------... show full transcript

Worked Solution & Example Answer:The table below shows the values when 2 is raised to certain powers - Junior Cycle Mathematics - Question 3 - 2012

Step 1

Complete the table for 2^3

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Answer

2 x 2 x 2 = 8

Step 2

Complete the table for 2^4

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Answer

2 x 2 x 2 x 2 = 16

Step 3

Complete the table for 2^5

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Answer

2 x 2 x 2 x 2 x 2 = 32

Step 4

Complete the table for 2^6

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Answer

2 x 2 x 2 x 2 x 2 x 2 = 64

Step 5

Complete the table for 2^7

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Answer

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Step 6

Complete the table for 2^8

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Answer

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Step 7

Complete the table for 2^9

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Answer

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

Step 8

Which option should Maria choose?

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Answer

Option B is preferable. If Maria takes Option B, she will receive:

Day 1: €2 Day 2: €4 Day 3: €8 Day 4: €16 Day 5: €32 Day 6: €64 Day 7: €128 Day 8: €256 Day 9: €512

Adding these amounts, she will end up with €1022, which is €22 more than the €1000 in Option A.

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