To find the square root of this decimal we convert it into scientific notation.

Because  has an even exponent, we can divide the exponenet by 2 to get its square root.  is a perfect square, whose square root is .

Begin by converting each fraction into a decimal:

Now we can put the decimals in order:

0.269, 0.27, 0.2788, 0.28, 0.3157

or:

No answer choice matches this order, so our answer is "None of the other answers"

To put these numbers in order from least to greatest we start by looking at the number before the decimal. In this case they're all the same (7) so we move to the first number to the right of the decimal. Since 8 is greater than 3 we know that 7.8 and 7.835 must be greater than the other two options. To decide if 7.8 or 7.835 is greater we look at the next number to the right. Since 7.8 doesn't have another number to the right we know that the number to the right must be 0. Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the numbers in order from least to greatest: 7.35, 7.358, 7.8, 7.835.

We first look at the whole number and see that 5 is greater than 4, so we know that the two biggest numbers are going to be 5.19 and 5.09. We then look at the number to the right of the decimal since 1 is greater than 0 we know that 5.19 is the biggest number and 5.09 is the second biggest. Then we compare the numbers that start with 4 by looking to the number to the right of the decimal. Since 9 is greater than 1 or 0 we know that 4.9 is the next biggest number. Since 1 is greater than 0 we know that 4.19 is greater than 4.09. Then we just put the numbers in order from greatest to least to get the correct answer: 5.19, 5.09, 4.9, 4.19, 4.09.

To convert this fraction to a decimal number, divide the numerator by the denominator. Since this fraction has a larger numerator than denominator, the fraction is classified as an improper fraction. This means that the fraction represents a value greater than one whole. Thus, the solution must be greater than one. 




Note that  fits into  evenly  times, and has a remainder for of 

Fractions and decimals both represent part of a whole. To solve this problem you may divide  by , or you can reduce the fraction by dividing the numerator and denominator by the common factor of  This will equal a fraction of  hundredths, which can be written as the decimal number "zero and  hundredths."




Note: both  and  equal 

Decimal numbers and fractions both represent part of a whole. This decimal number has a value of  in the tenths and thousandths place values. Since the decimal number reaches the thousandths place, the correct answer is  over --which represents  thousandths.  

Both decimals and fractions represent part of a whole. To convert this decimal number to a mixed number fraction, use the following steps:

 

(because the decimal number has a  in the ones place value and an  in the hundredths place value). 

Then simplify .



Thus, the correct answer is 

Both decimals and fractions represent part of a whole. Since this decimal number has a value of  in the tenths place and a value of  in the hundredths place, it can be re-written as:

 .

Then, simplify the fraction by dividing both the numerator and denominator by a divisor of 

Thus, the solution is:

This problem requires several conversions. First, convert  into a mixed number fraction. This means, the new fraction will have a whole number of  and a fraction that represents  thousandths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator. 

Thus, the solution is: