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Write the following four numbers in order, from the smallest to the biggest - Junior Cycle Mathematics - Question 10 - 2018
Question 10
Write the following four numbers in order, from the smallest to the biggest. 2:34, -3, \sqrt{5}, 2 Answer = _____, _____, _____, _____. Write each of these four n... show full transcript
Worked Solution & Example Answer:Write the following four numbers in order, from the smallest to the biggest - Junior Cycle Mathematics - Question 10 - 2018
Step 1
Write the following four numbers in order, from the smallest to the biggest.
Answer
To order the numbers, we first need to approximate \sqrt{5}$. We know that:
- The value of \sqrt{5} \approx 2.236.
- Hence, the numbers to compare are: 2:34 (which equals 2.34), -3, \sqrt{5} \approx 2.236, and 2.
Ordering them from smallest to largest gives:
-3, \sqrt{5}, 2, 2:34.
Step 2
Write each of these four numbers into the correct region in the Venn diagram below.
Answer
For the Venn diagram:
- -3 is an integer and a real number, so it goes in the overlapping region of \mathbb{Z} and \mathbb{R}.
- \sqrt{5} is a real number but not an integer, so it goes in the \mathbb{R} region outside \mathbb{Z}.
- 2 is a natural number, integer, and real number, so it goes in the center of all three regions.
- 2:34 is a real number but not an integer or natural number, so it goes in the \mathbb{R} region outside \mathbb{Z} and \mathbb{N}.