What is 0.24 ̅ (4 is repeating) expressed as a fraction in simplest form?
2 answers:
Here, we need to find express 0.2444... as a fraction in simplest form.
Let the fraction be expressed as x
Now,
x = 0.2444....
Since, x is recurring in 1 decimal places, we multiply it by 10.
10x = 2.4444....
From left hand-side, x is subtracted and from 0.24444... from right hand side
10x - x = 2.4444.... - 0.24444....
So now,
9x = 2.2
x =
x =
x =
Thus, fraction as simplest form =
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Answer:
1.
Option d is correct
2.
Option c is correct
3.
Option a is correct
4.
Option d is correct
5.
Option c is correct
Explanation:
Using exponent rule:
1.
Given the expression:
Apply the exponent rules:
Therefore, the value of the given expression is, .
2.
To find the value of the expression
then;
Therefore, the value of the given expression is, .
3.
Find the the value of the expression
then;
Simplify:
Therefore, the value of the given expression is, .
4.
Given the expression:
we can write this as:
Apply the exponent rules:
On comparing both sides we have;
K = 3
Therefore, the value of K is, 3
5.
Given the expression:
we can write this as:
Apply the exponent rules:
On comparing both sides we have;
N = 4
Therefore, the value of N is, -4