It’s a common question that comes up in math class – how many times does 3 go into 100? The answer, of course, is 33. But why?
In this blog post, we’ll take a look at the math behind this answer to see why it’s correct.
When we’re looking at division problems like this, what we’re really doing is trying to find out how many groups of a certain number will fit into another number. So in this case, we’re trying to find out how many groups of 3 will fit into 100.
To do this, we can start by writing out 100 as a multiple of 3:
3, 6, 9, 12, 15, 18, 21, 24…etc.
As you can see, there are 33 numbers in this list that are divisible by 3. That means there are 33 groups of 3 that will fit into 100. And so the answer to our original question is 33.
If you’re like most people, you probably think that 3 goes into 100 about 33 times. However, the answer is actually a bit more complicated than that.
It turns out that 3 goes into 100 exactly 33.333333333 times.
That’s a lot of threes! In fact, if you were to divide 100 by 3, the result would be an infinitely long string of threes.
So why is this?
Well, it has to do with the way our number system works. We have 10 digits (0-9) and we group them in sets of three. So when we divide something by 3, we’re really just looking at how many groups of three there are in the number.
100 is made up of two groups of three (3 ones), followed by one group of four (4 tens). So when we divide it by 3, we get 2 with a remainder of 1 (2+1=3). And since 1/3 equals .33333333333..
. we get that as our answer.
Hope that clears things up!
Contents
- How Many Times Does the Digit 3 Appear in Numbers from 1 to 100?
- How Many Times Can 9 Go in 100?
- How Many Times Number 8 Go into 100?
- How Many Times Can 11 Go into 3?
- S2 Q1 (How many times the digit "3" will be used while listing numbers from 1 to 1000 ?)
- How Many Times Does 3 Go into 1000
- How Many Times Does 4 Go into 100
- Does 3 Go into 100 Evenly
- Does 3 Go into 1000 Evenly
- Conclusion
How Many Times Does the Digit 3 Appear in Numbers from 1 to 100?
The digit 3 appears 20 times in numbers from 1 to 100.
How Many Times Can 9 Go in 100?
If you’re asking how many times 9 can go into 100, the answer is 11.
To break this down, we can look at it like this: 9 goes into 10 eleven times, with 1 left over. So we carry the 1 over to the next number, 100.
Then 9 goes into 11 ten times, with 1 left over again. We add the carried-over 1 to make it 20, and so on. In total, 9 goes into 100 eleven times before there are no more numbers left to divide.
How Many Times Number 8 Go into 100?
The number 8 goes into 100 a total of 12 times.
How Many Times Can 11 Go into 3?
11 can go into 3 a total of 0 times.
S2 Q1 (How many times the digit "3" will be used while listing numbers from 1 to 1000 ?)
How Many Times Does 3 Go into 1000
If you’re looking for a quick answer, 3 goes into 1000 approximately 333 times. However, if you want to get a more precise answer, we can use long division.
When we divide 3 into 1000, we get the following:
1000|3
333|9
111|27
… etcetera
As you can see, after dividing 3 into 1000 several times, the number 9 keeps appearing as the remainder. Therefore, we can say that 3 goes into 1000 333 times with a remainder of 9.
How Many Times Does 4 Go into 100
When it comes to math, 4 goes into 100 a total of 25 times. This means that when you divide 100 by 4, the answer is 25. However, if you’re looking at this division another way and are trying to figure out how many times 4 goes INTO 100, the answer would be
26. The reason for this is because when you’re dividing, the number being divided (in this case 100) is called the dividend, and the number doing the dividing (4) is called the divisor. So technically speaking, when you’re asking how many times does 4 go INTO 100, you’re really asking what’s known as the quotient. And in order to get the quotient, you need to add 1 to your original answer of 25.
Does 3 Go into 100 Evenly
3 does go into 100 evenly! In fact, 3 goes into 100 33 times with a remainder of 1. So if you’re looking to divide 100 by 3 evenly, simply divide 33 by 3 and you’ll have your answer.
Does 3 Go into 1000 Evenly
No, 3 does not go into 1000 evenly. There is a remainder of 1 when you divide 3 into 1000.
Conclusion
The answer to this math question is pretty simple – 3 goes into 100 thirty-three times. But, why? How did we arrive at that number?
It all has to do with place value and multiplication. If we break down the number 100, we can see that it is made up of two digits – 1 and 0. The 1 is in the “tens” place, and the 0 is in the “ones” place.
So, when we multiply 3 by 1, we get 3 tens, or 30. And when we multiply 3 by 0, we get 0 ones, or no change to the number in the “ones” place. So our final answer is 30 + 0, or just 30.