17 divided by 8 in decimal is 2.12500 17 divided by 8 in fraction is 17/8 17 divided by 8 in percentage is 212.50%
Division can be thought of as repeated subtraction; for instance, if we divide 10 by 3 (written as 10 ÷ 3), what we really mean is “how many times can we subtract 3 from 10?” In this case, the answer would be 3 because after subtracting 3 from 10 two more times (6-3=3 and then 3-3=0) there would be nothing left to subtract. We say that the result of dividing 10 by 3 is equal to 3 with a remainder of 1 (or simply put:10 divided by 2 equals 5). So another way to think about division is asking how many groups or sets something can be split into – like if you had 17 candy bars and wanted them evenly distributed among 8 friends, each friend would end up getting 2 candy bars with 1 leftover – so in this scenario 17 divided by 8 equals 2 with a remainder of 1.
The division of two numbers is represented by a fraction, which has the divided number (the dividend) as its numerator and the divisor as its denominator. So in our candy bar example from earlier, 17 would be the numerator since it’s being divided, while 8 would be the denominator since that’s how many we’re dividing it into – this fraction can then be simplified to 2 1/8.
Another way to express division is with decimals – so instead of writing 17/8 we could write 2.125 (this number is read as “two point one two five”). Decimals are just another way of expressing fractions where the denominator is a power 10 – for instance 0.1 = 1/10 because we moved the decimal point one place to the left; similarly 0.01 = 1/100 because we moved it two places to the left this time, and so on… In our case above 2.125 means 21⁄80 or 85⁄320 etc., all depending on how far you move that decimal point! We’ll talk more about decimals later but for now let’s stay focused on good old-fashioned fractions 🙂
Division by Zero:
One special case we should mention is division by zero – you can’t divide anything by 0, so it’s undefined. For instance, if we were to take our 10 candy bars and try to divide them into 0 friends (10 ÷ 0), that wouldn’t make any sense! The same goes for other numbers too like 17/0 or 8/0 – they’re all just undefined. So whenever you see a problem asking you to divide something by zero just know there’s no real answer.
Properties of Division:
Like with the other basic operations, division has some special properties worth mentioning. These include the commutative, associative, and distributive properties as well as division by 1 and multiplying to get rid of a fraction. Let’s take a look at each one in turn:
We hope you now have a good understanding of division and what it means to divide 17 by 8! Just remember that when dealing with fractions, the division sign (÷) actually means “divide the numerator by the denominator”, while when working with decimals it just signifies regular old division. And as always, feel free to reach out if you have any questions 🙂
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