Three approximations of the number / are given as 0.32, 0.33 and 0.34. Find the best approximation among the three.
Answers
Answer:
What are three numbers between 0.33 and 0.34?
Prealgebra
1 Answer
Shwetank Mauria
Apr 3, 2016
Please see below.
Explanation:
Before you write three numbers between
0.33
and
0.34
, you need to indicate whether you want rational numbers or real numbers (that is including irrational numbers).
Between any two rational numbers
a
and
b
, we have
a
+
b
2
as another rational number. Then similarly you can additional rational numbers between
a
and
a
+
b
2
and between
a
+
b
2
and
b
.
Hence we can have
0.3325
,
0.335
and
0.3375
as three rational numbers between
0.33
and
0.34
.
Irrational numbers are non-terminating and non-repeating numbers. Hence they could be
0.3303003000300003
...
.
,
0.3306006000600006
...
.
and
0.3307007000700007
...
.
.
Answer link
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