Question

learning task 3: write the given fractions in decimals.write your answer in your notebook.1. 123/ 100 2. 3/10. 3. 5143/ 1000 4. 6419/ 10000 5. 19/ 10000​

Answer 1

Given:

A set of fractions 123/ 100, 3/10, 5143/ 1000, 6419/ 10000, 19/ 10000​.

To Find:

The decimal forms of the given fractions.

Solution:

The given question can be solved by using the concepts of fractions.

1. A decimal of the form a.b can be converted into a fractional form as (ab/10).

2. A decimal of the form a.bc can be converted into a fractional form as (a b c/100).

3. A decimal of the form a.bcd can be converted into a fractional form as (a b c d/1000).

4. The above method can be used either to convert a fraction to decimals or vice-versa.

=> 123/100 is written as 100 x 1 + 23 (OR) in decimal form it can be written as 1.23.

=> 3/10 is written as 0 x10  + 3 (OR) in decimal form it can be written as 0.3.

=> 5143/1000 is written as 1000 x 5 + 143 (OR) in decimal form it can be written as 5.143.

=> 6419/10000 is written as 10000 x 0 + 6419 (OR) in decimal form it can be written as .6419.

=> 19/10000 is written as 10000 x 0+ 15 (OR) in decimal form it can be written as 0.0015.

Therefore, the fractions 123/ 100, 3/10, 5143/ 1000, 6419/ 10000, 19/ 10000 in decimal forms are 1.23, 0.3, 5.143, 0.6419, 0.0019 respectively.