Question

The decimal expansion of 74/7 is. 1. Terminating 2.) Non terminating and non recuring 3.) non terminating and recuring ​

Answer 1

Answer:

10.571

Step-by-step explanation:

Its expansion should be 74/7 =10.571

Answer 2

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Step-by-step explanation:

Here are the steps to determine if 7/74 is a terminating decimal number:

1) Find the denominator of 7/74 in its lowest form.

The greatest common factor (GCF) of 7 and 74 is 1. Convert 7/74 to its simplest form by dividing the numerator and denominator by its GCF:

   

7 ÷ 1

   

74 ÷ 1

 =  

   

7

   

74

   

Thus, the denominator of 7/74 in its lowest form is 74.

2) Find the prime factors of the answer in Step 1.

The prime factors of 74 are all the prime numbers that you multiply together to get 74. The prime factors of 74 are:

2 x 37

3) Determine if 7/74 is terminating

A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is not the case here, which means that our answer is as follows:

7/74

= non-terminating