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Math Tutor Solution: 42/1000 as a decimal is 0.042
Methods
Method 1 from a Math Tutor – Explanation using the division method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 42 by the denominator 1000 to get the decimal:
42 (numerator) ÷ 1000 (denominator) = 0.042
That’s it! When you convert 42/1000 to a decimal, 0.042 is your answer.
Method 2 from a Math Tutor – Explanation using the factors of 10 method:
Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.
Even if our denominator is not a power of 10, we can make it one. 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. Since our denominator is 1000, we can convert it because it is a factor of a power of 10.
To do that, we multiply 1000 by 1 to make the denominator 1000. And since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:
Math Tutor Suggests: Master fraction to decimal conversions
If this problem was a little difficult or you want to practice your skills on another one, our math tutors suggest that you give one of these problems a try:
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