Renaldo will write 3/20 as a decimal. which of the following methods should he use?
1. multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
2.multiply the fraction by 1/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
3. multiply the fraction by 33.3/33.3 to get a numerator of 100 and then write the denominator as hundredths using a decimal point.
4. multiply the fraction by 33.3 to get a numerator of 100 and then write the denominator as hundredths using a decimal point.

ANSWER

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

EXPLANATION

Renaldo wants to write

as a decimal.

He needs a denominator of 100, so he can multiply by

to obtain:

This will be

He can now obtain the decimal equivalent as

The correct choice is option 1.

1. Multiply the fraction by 5/5 to get a denominator of 100 and then write the numerator as hundredths using a decimal point.

Step-by-step explanation:

Renaldo must use a method that does not alter the value of the original fraction. This means that by multiplying the fraction by a number, the result obtained remains the same as the initial number.

Then the fraction must be multiplied by the same number in the denominator and the numerator. For example:

If we multiply the result is:

To write this fraction in decimal form, we move the comma 2 digits to the left in the following way:

15.0 --------> 0.15.

Then

The answer is Option 1.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: