Express the denominator of 23-20 in the form of 2n into 2m and state whether the given fraction is terminating or non terminating repeating decimals
Answers
Answer:
Given : 23÷20
To Find : denominator To be expressed in form of 2ⁿ & 5^m5
m
Solution:
23/20
23 is Prime
20 = 2 * 2 * 5
=> 20 = 2² * 5¹
Comparing with
2ⁿ * 5^m5
m
n = 2
m = 1
23/20 = 23/ 2² * 5¹
Any Fraction after converted into simple fraction has terminating decimal if
denominator has only 2 & 5 as prime factors
Hence 23/20 is terminating Decimal
23/20 = 1.15
23/20 = 23/ 2² * 5¹
23/20 is terminating Decimal
Learn More:
a rational number p/q has a terminating decimal expansion if the ...
https://brainly.in/question/17428968
A teacher asked students to write irrational numbers and terminating ...
https://brainly.in/question/17849937
Item 5 Classify the decimal expansion of each fraction as a ...
Step-by-step explanation:
I hope it help you