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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?
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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.
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Prime factors of the denominator of a rational number with the decimal...
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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?
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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?.
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