Which statement correctly describes the number 49: 49−−√

A.
The number is rational because it can be written as a repeating decimal.
B.
The number is rational because it can be written as a terminating decimal.
C.
The number is irrational because it can be written as a terminating decimal.
D.
The number is irrational because it can be written as a non-repeating, non-terminating decimal.

1 answer

The statement that correctly describes the number \( \sqrt{49} \) is:

B. The number is rational because it can be written as a terminating decimal.

Here's why:

  • \( \sqrt{49} = 7 \), which is a whole number.
  • Whole numbers (such as 7) are also rational numbers because they can be expressed as a fraction (for example, \( \frac{7}{1} \)).
  • Whole numbers can also be represented as terminating decimals (e.g., 7.0).

Therefore, option B is the correct choice.

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