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Math Tutor Solution: 105/10 as a decimal is 10.5
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 105 by the denominator 10:
105 (numerator) ÷ 10 (denominator) = 10.5
As a result, you get 10.5 as your answer when you convert 105/10 to a decimal.
Method 2 from a Math Tutor – Explanation using the factors of 10 method:
Sometimes, dividing a number by a power of 10 (like 10, 100, 1000 etc.) is easy because all you need to do is move the invisible decimal place left by how many zeros you have in the power of 10. But for this question, the denominator, 10, isn’t a power of 10.
However, we can change the fraction: 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 the fraction into one that is easy to calculate.
To do this, we need to make the denominator to a power of 10 - to make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10). We multiplied the denominator by 1, so now we need to also multiply the numerator by 1 too:
Math Tutor Suggets: Practice more conversion problems
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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