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Which of the following are rational numbers? Check all that are true. 0.7 -1318​ 2.3-4 2π+5 52​

Question

Which of the following are rational numbers? Check all that are true.

  • 0.7
  • -1318
  • 2.3 - 4
  • 2\pi + 5
  • 52
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Solution

Sure, let's go through each number:

  1. 0.7: This is a rational number because it can be expressed as a fraction, 7/10.

  2. -1318: This is also a rational number because it can be expressed as a fraction, -1318/1.

  3. 2.3-4: This seems to be a mathematical expression rather than a single number. If it's meant to be 2.3 minus 4, the result is -1.7, which is a rational number because it can be expressed as a fraction, -17/10. If it's meant to be two separate numbers, 2.3 and -4, both are rational for the same reason.

  4. 2π+5: This is not a rational number. Pi (π) is an irrational number, meaning it cannot be expressed as a fraction. Any number multiplied or added with an irrational number also becomes irrational.

  5. 52: This is a rational number because it can be expressed as a fraction, 52/1.

So, the rational numbers in your list are 0.7, -1318, 2.3-4 (if it's meant to be 2.3 minus 4 or two separate numbers), and 52.

This problem has been solved

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