Respuesta :

it's like that because the amount is 45/100 so decimals are written like that

Answer and Explanation:

To find : Explain why [tex]\frac{45}{100}[/tex] is written as decimal with a 4 in the tenths place and a 5 in the hundredths place ?

Solution :

When we write fraction as decimal we place decimal according to number of zeros in the denominator.

As [tex]\frac{45}{100}=0.45[/tex]

According to place value system,

Ones   |    Tenths        Hundredths

   0               4                    5

As first digit to the right of decimal point is basically tenths place and second digit to the right of decimal point is basically hundredths place.

So, When we write [tex]\frac{45}{100}[/tex] in decimal form i.e. 0.45 then 4 in the tenths place and a 5 in the hundredths place.

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