Question

Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.

Answer 1

Answer:

Yes, she is correct.

Step-by-step explanation:

A real number that can be expressed as $\frac{p}{q}$,

Where,

p and q are integers,

Such that, q ≠ 0,

is called a rational number.

A terminating decimal is always a rational number,

Thus, 2.11 is a rational number,

Verification :

2.11 = $\frac{211}{100}$

Where,    

Both 211 and 100 are integers,

Such that 100 ≠ 0.

Answer 2

The value 2.11 is a rational number and not a repeating decimal.

Given the number 2.11 ;

• Rational numbers Can be expressed in the form p/q ; where q ≠ 0.

• However, irrational numbers cannot be be expressed in the form p/q.

• 2.11 is written into two decimal places ; therefore it can be expressed thus ;

• (2.11 × 100) ÷ 100
• $\frac{211}{100}$

$since \: 2.11 = \frac{211}{100}$

Then, we can conclude that 2.11 is a rational number

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