Fractions and decimals are both really useful, but there are times where one way is better than the other. For example, fractions are really easy to use when you are dividing numbers because fractions are division. But, when fractions get too big, they're hard simplify, add, etc. Decimals are easy to use when you do anything, from division to addition. The way you solve decimals is the same way you solve natural numbers. But there is a huge con, it's when decimals go on forever and ever.
Examples:
1) 5÷3
For this question, using fractions is more easier because all you have to do is take 5 and make it the numerator and take 3 and make it the denominator. So the fraction your going to end up with is 5/3 which is equivalent to
1⅔. This way is way easier than using decimals because the way your going to solve the problem using decimals is long division, and with problems like this, long division will take forever.
2) 0.25+0.80
For this question, using decimals is the fastest way because all you have to do is add the two numbers like how you add natural numbers. You could use fractions but you would have to do two steps to get to your answer. Step one is to convert the decimals to fractions and step 2 is to solve.
When comparing two positive whole numbers with different numbers of digits, such as 115 and 37, the one with more digits is greater. Does this rule work for comparing decimals?
No it doesn't because with positive numbers, the more digits the bigger but with negative numbers (decimals), the more digits the smaller. You can see how it works on the place value chart.
Examples:
1) 2100 or 0.1232523
2100 is bigger because it is positive, even though 0.1232523 had more digits. 2100 is bigger because 0.1232523 is a negative number.
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