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Math Tutor Solution: 22/1000 as a decimal is 0.022
Methods
Method 1 from a Math Tutor – Explanation using the division method:
A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 22 by the denominator 1000:
22 (numerator) ÷ 1000 (denominator) = 0.022
As a result, you get 0.022 as your answer when you convert 22/1000 to a decimal.
Method 2 from Math Tutor – Explanation using the factors of 10 method:
Oftentimes, it’s easier to divide a number by powers of 10 (like 10, 100, 1000, etc.) because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. The problem is that the denominator sometimes isn’t a power of 10 – like this in problem, 1000 is not a power of 10.
So, what do we do? We can convert this fraction into a power of 10! If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert them into a power of 10.
How? Multiply by the numerator (top) and denominator (bottom) by the same amount that makes the denominator to a power of 10. To make 1000 a power of 10, we need to multiply by 1 (1000 * 1 = 1000). Now if we multiply the denominator by 1, we also need to multiply the numerator by 1 too:
And finally, you get 0.022 as your answer when you convert 22/1000 to a decimal.
Math Tutor Suggests: Convert some more fractions to decimals!
Our math tutors suggest continuing your practice by solving more problems on converting fractions to decimals:
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