Free Decimals 03 Practice Test - 6th grade 

Among the options, only $\frac{8}{3}$ is the fraction which will give non-terminating decimal. This is because all other options have denominator having on 2 and 5 as prime factors after standardising.

Consider 0.9, it is greater than 0.7 as well as 0.3, hence it cannot lie between 0.3 and 0.7. Similarly, 0.2 and 0.8 cannot lie between 0.3 and 0.7.

But, 0.4 is greater than 0.3 and less than 0.7. Hence, it lies between 0.3 and 0.7.

OR

0.2 has 2 tenths, 0.3 has 3 tenths, 0.4 has 4 tenths, 0.7 has 7 tenths, 0.8 has 8 tenths and 0.9 has 9 tenths.
2 tenths$<$3 tenths$<$4 tenths$<$7 tenths$<$8 tenths$<$9 tenths
$⟹0.2<0.3<0.4<0.7<0.8<0.9$
Thus, 0.4 lies between 0.3 and 0.9.

Amount each child will get $=\frac{\text{Total money}}{\text{Number of children}}=\frac{70}{40}=\frac{7}{4}=\frac{7\times 25}{4\times 25}=\frac{175}{100}=₹1.75$

So, each child will get ₹ 1.75.

Total distance covered before second halt =  (2.8 + 1.3) km = 4.1 km

Therefore, distance left = (5.75 - 4.10) km = 1.65 km

The place value chart for the decimal number 562.3254 is as below:

Hundreds             5 
Tens                     6    
Ones                    2  
Tenths                  3   
Hundredths          2    
Thousandths        5   
Ten-thousandths  4
So, the digit in the hndredths place in the number 562.3254 is 2.

Total cost = Amount of rice $\times$ rate per kg
               = 5.5 $\times$ 13.5
The product is given by:

So, the total amount paid is Rs. 74.25.

$\text{4}\frac{3}{5}=\frac{23}{5}=\frac{2\times 23}{2\times 5}=\frac{46}{10}\text{= 4.6}$

Addition should be done as follows:            

                          59.365

                     + 362.580

                     +   64.187

                        486.132

So, the answer is 486.132.

$1.25=\frac{125}{100}$  
        $=\frac{5\times 25}{4\times 25}$ 
        $=\frac{5}{4}$

$\therefore 1.25=\frac{5}{4}$

Compare the decimals.Till tenth place, digits are same. But digit at hundredth place in 0.0307 is more than the digit at hundredth place in 0.0037. So, 0.0307 is greater than 0.0037.