Math Problem Statement
Prime factorisation of 0.008
Solution
To determine the prime factorization of 0.008, we first convert it to a fraction:
Next, simplify the fraction:
Now we perform the prime factorization of the denominator 125:
Thus, the prime factorization of 0.008 is:
If expressed in fractional form, this is the simplest prime factorization since the numerator is 1 and has no prime factors.
Let me know if you have any further questions or want a deeper explanation.
Related Questions:
- What is the prime factorization of 125?
- How do you convert a decimal to a fraction?
- How would you express 0.008 in scientific notation?
- What are the prime factors of 1000?
- How do you find the prime factorization of a non-integer?
Tip:
When working with decimals, always start by converting them into fractions for easier prime factorization.
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Decimals to Fractions
Simplification of Fractions
Formulas
Decimal to fraction conversion: 0.008 = 8 / 1000
Simplification of fractions: 8 / 1000 = 1 / 125
Prime factorization of 125 = 5 × 5 × 5 = 5^3
Theorems
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Suitable Grade Level
Grades 6-8