which decimal quotient is terminating a 7÷4 b. 1÷3 c. 6÷9 d. 1÷21
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which decimal quotient is terminating a 7÷4 b. 1÷3 c. 6÷9 d. 1÷21
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Answer:
A. 7÷4
Step-by-step explanation:
7÷4 = 1.75
A terminating decimal is a decimal that has an end.
Answer:
Basically, all you need to do is to divide the numerator and denominator. If the decimal ends, then it is terminating:
7÷4
1÷3
6÷9
1÷21
Whichever gives a decimal answer that ends.
But what if you don't have a calculator or you are taking an exam? Do you have to divide each of them until you get the answer?
No.
All you have to do is look at its denominator. You need to factor out the denomimator to its PRIME FACTORS. If the prime factors are 2, 5, or both 2 and 5, then the fraction is TERMINATING. If it is not or if it contains any other prime factors, then the fraction NON-TERMINATING.
Example:
7÷4
The prime factors of 4 is 2×2 or simply 2².
Prime factors is 2², TERMINATING.
1÷3
The prime factors of 3 is 3×1.
Prime factors are not 2, 5. NON-TERMINATING
6÷9
The prime factor of 9 is 3×3 or 3².
Prime factors are not 2,5. NON-TERMINATING.
1÷21
The prime factor of 21 is 7×3.
Still not 2,5 so NON-TERMINATING.
By simply looking at it, you can easily tell. And that's a wrap.