Class 10 Exam > Class 10 Questions > Prime factors of the denominator of a rationa...
Start Learning for Free
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?
Most Upvoted Answer
Prime factors of the denominator of a rational number with the decimal...
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?
To find the prime factors of the denominator of a rational number with the decimal expansion 44.123, we need to convert the decimal number into a fraction in simplest form.
Step 1: Identify the numerator and denominator of the decimal number.
In this case, the decimal number is 44.123. The numerator is 44123, and the denominator is 1000 (since there are three decimal places).
Step 2: Simplify the fraction.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD of 44123 and 1000 is 1.
Step 3: Write the simplified fraction.
The simplified fraction is 44123/1000.
Step 4: Find the prime factors of the denominator.
The denominator of the fraction is 1000. To find its prime factors, we can divide it successively by prime numbers until we reach 1.
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Therefore, the prime factors of the denominator 1000 are 2, 2, 2, 5, 5.
So, the correct answer is (b) 2, 2, 2, 5, 5.
To find the prime factors of the denominator of a rational number with the decimal expansion 44.123, we need to convert the decimal number into a fraction in simplest form.
Step 1: Identify the numerator and denominator of the decimal number.
In this case, the decimal number is 44.123. The numerator is 44123, and the denominator is 1000 (since there are three decimal places).
Step 2: Simplify the fraction.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD of 44123 and 1000 is 1.
Step 3: Write the simplified fraction.
The simplified fraction is 44123/1000.
Step 4: Find the prime factors of the denominator.
The denominator of the fraction is 1000. To find its prime factors, we can divide it successively by prime numbers until we reach 1.
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Therefore, the prime factors of the denominator 1000 are 2, 2, 2, 5, 5.
So, the correct answer is (b) 2, 2, 2, 5, 5.
Community Answer
Prime factors of the denominator of a rational number with the decimal...
C
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?
Question Description
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?.
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?.
Solutions for Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? defined & explained in the simplest way possible. Besides giving the explanation of
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5?, a detailed solution for Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? has been provided alongside types of Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? theory, EduRev gives you an
ample number of questions to practice Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup