Question

write the following in decimal form and say what kind of decimal expansion each has 1)1/13 2)4. 3) 3/21​

Answer 1

Answer:

1.

[\tex]\frac{1}{13}=0.0769230769230.........[/tex]

$\therefore\:\frac{1}{13}$ has non-terminating recurring decimal expansion.

2.

$4.0$

It has terminating decimal expansion.

3.

$\frac{3}{21}$

$=\frac{1}{7}$

$=0.142857142857.......$

$\therefore\:\frac{3}{21}$ has non-teminating recurring decimal expansion.

Answer 2

Answer: The decimal form of 1/13= 0.0769230769 and the decimal expansion it has is non - terminating recurring decimal expansion.

The decimal form of 4/1= 4.00 and the decimal expansion it has is terminating decimal expansion.

The decimal form of 3/21= 0.142857143 and the decimal expansion it has is non - terminating recurring decimal expansion.

Step-by-step explanation:

The non- terminating decimal expansion is described as the a long digit being carried after the decimal place.