(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

Correct Answer: 1/8

Explanation:

125 over 1000 in Simplest Form means  125 1000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e,  125 125 1000 125 = 1 8

 

Hence,  1 8 is the simplest form of 125 over 1000.

Correct Answer: 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of  5 8 is 0.625.

 

Now find a decimal value of 11 17 and Discuss your at Discuss.

Correct Answer: 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

1 8 x 125 125 = 125 1000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence,  1 8 as a decimal = 0 . 125

Correct Answer: 5/3

Explanation:

Given expression =  0 . 2 × 0 . 2 × 0 . 01 0 . 1 × 0 . 1 × 0 . 02 = 0 . 04 + 0 . 01 0 . 01 + 0 . 02 = 0 . 05 0 . 03 = 5 3

Correct Answer: 3120

Explanation:

Given,  52416 312 = 168 ? 52416 168 = 312 

 

Now ,  52 . 416 0 . 0168 = 52416 16 . 8 = 52416 168 × 10 = 312 × 10 = 3120

 

 

Correct Answer: 6

Explanation:

 

It is in the form of  a 2 - b 2 a - b = a + b a - b a - b = a + b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

Correct Answer: 3/4

Explanation:

0.75 = 75/100 = 3/4

Correct Answer: 1/6

Explanation:

Converting each of the given fractions into decimal form, we get

2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833 

Since 0.833>0.8>0.75>0.66 

So, 5/6 > 4/5 > 3/4 > 2/3 

Therefore,  Required Difference = 5/6 - 2/3 = 1/6

Correct Answer: None of these

Explanation:

Let 138.009 + 341.981 - 146.305 = 123.6 + z

Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

Correct Answer: 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

$$\begin{gathered} Divide numerator and denominator with ' 2 ' \\ 1 5 x 2 2 \\ = 2 10 \\ = 0 . 2 \end{gathered}$$