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The same number can be represented in different ways - Leaving Cert Mathematics - Question 1 - 2013

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The same number can be represented in different ways. Write two more representations of each of the numbers in the table below, by choosing only from the following l... show full transcript

Worked Solution & Example Answer:The same number can be represented in different ways - Leaving Cert Mathematics - Question 1 - 2013

Step 1

6$^2$

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Answer

To represent 626^2, we note that it is equal to 36. From the options given, we can write two representations: 36 and 91^1.

Step 2

8$^{ rac{1}{3}}$

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Answer

For 8^{ rac{1}{3}}, we consider that this expression represents the cube root of 8, which is 2. Therefore, we can choose 220^{20} and 0.027 as the representations.

Step 3

2$^{20}$

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Answer

For 2202^{20}, we can calculate it and find that it is equal to 1,048,576. Thus, we can represent it using 900% and 105imes105105 imes 10^5.

Step 4

Marking the number line.

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Answer

To mark the numbers on the number line below, we first convert them to decimal format:

  • ext√82ightarrow9.06 ext{√}82 ightarrow 9.06
  • 3extπightarrow9.433 ext{π} ightarrow 9.43
  • 8.9ightarrow8.908.9 ightarrow 8.90
  • 9ightarrow9.009 ightarrow 9.00
  • rac{37}{4} ightarrow 9.25
  • 9.3imes100ightarrow9.309.3 imes 10^0 ightarrow 9.30

Now, we can accurately position these numbers on the number line.

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