Question

Express each of the following decimals inthe form p /q 0.39,0.750,2.15,7.010,9.90,1.0001

Answer 1

0.39=39/100
0.750=750/1000
2.15=215/100
7.010=7010/1000
9.90=990/100
1.0001=10001/10000
trick = from left side of decimal no. count no.to decimal point and no.of count =1no.of count zero type
HOPE IT WILL HELP YOU PLZ MARK AS BRAINLIST

Answer 2

Given:

0.39

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 0.39

Multiplying and dividing by 100, we get

= $\dfrac{0.39\times 100}{100}$

= $\dfrac{39}{100}$, in the form of $\dfrac{p}{q}$.

Given:

0.750

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 0.750

Multiplying and dividing by 1000, we get

= $\dfrac{0.750\times 1000}{1000}$

= $\dfrac{750}{1000}$ or $\dfrac{3}{4}$, in the form of $\dfrac{p}{q}$.

Given:

0.215

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 0.215

Multiplying and dividing by 1000, we get

= $\dfrac{0.215\times 1000}{1000}$

= $\dfrac{215}{1000}$ or $\dfrac{43}{200}$, in the form of $\dfrac{p}{q}$.

Given:

0.7010

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 0.7010

Multiplying and dividing by 10000, we get

= $\dfrac{0.7010\times 10000}{10000}$

= $\dfrac{7010}{10000}$ or $\dfrac{701}{1000}$ , in the form of $\dfrac{p}{q}$.

Given:

9.90

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 9.90

Multiplying and dividing by 100, we get

= $\dfrac{9.90\times 100}{100}$

= $\dfrac{990}{100}$ or $\dfrac{99}{10}$ , in the form of $\dfrac{p}{q}$.

Given:

1.0001

We have, to find the decimal in the form of $\dfrac{p}{q}$ .

Solution:

∴ 1.0001

Multiplying and dividing by 10000, we get

= $\dfrac{1.0001\times 10000}{10000}$

= $\dfrac{10001}{10000}$ , in the form of $\dfrac{p}{q}$.

∴The decimal in the form of $\dfrac{p}{q}$:

0.39 = $\dfrac{39}{100}$ ; 0.750 = $\dfrac{750}{1000}$ or $\dfrac{3}{4}$; 2.15 = $\dfrac{215}{1000}$ or $\dfrac{43}{200}$;

7.010 = $\dfrac{7010}{10000}$ or $\dfrac{701}{1000}$ ; 9.90 = $\dfrac{990}{100}$ or $\dfrac{99}{10}$  and 1.0001 = $\dfrac{10001}{10000}$