express the following rational number as decimal
1)3⅝
2)--21/125
3)3-/32
4)--7 11/80
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Express the rational numbers as decimal numbers 2421000
?
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Hint: We can also do this using basic simplification techniques. For simplifying it first we find GCF of both numbers. If GCF is more than 1
we have to divide both numerator and denominator with that number. If it 1
is then we have to divide the numerator with the denominator to make it into decimal form.
Complete step by step answer:
The given fraction is 2421000
So to simplify it we have to find the GCF of both numbers 242
and 1000
. To find the GCF we have to do prime factorization of the numbers.
242=2×11×11
1000=2×2×2×5×5×5
We can clearly see that there are no common factors in their prime factorization. So it’s GCF is 2
As already discussed if the GCF is 2
we have to divide our numerator and denominator with 2.
By dividing with both numerator and denominator with 2. We will get
2421000=121500
Now we divide the numerator with the denominator.
So in our case we have to divide 121
with 500
.
Now dividing 121
with 500
will give the decimal form.
⇒121500=0.242
From this we can write
2421000=0.242
So the decimal form of 2421000
is 0.242
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