Does 3 go into 100?
Understand the Problem
The question is asking whether the number 3 can evenly divide into 100, which is a problem of determining if 100 is divisible by 3.
Answer
No, 3 does not evenly divide into 100.
Answer for screen readers
No, 3 does not evenly divide into 100.
Steps to Solve
- Perform Division
To determine if 3 can evenly divide into 100, we need to divide 100 by 3.
$$ \frac{100}{3} = 33.33... $$
Since the result is not a whole number, we move to the next step.
- Check for Remainder
Now, let’s find the whole number quotient and the remainder by performing the division again.
The integer quotient of 100 divided by 3 is 33, so:
$$ 3 \times 33 = 99 $$
Now, we subtract 99 from 100 to find the remainder:
$$ 100 - 99 = 1 $$
- Conclusion About Divisibility
Since there is a remainder of 1, we deduce that 3 does not evenly divide 100.
For a number to be considered divisible, the remainder should be zero.
No, 3 does not evenly divide into 100.
More Information
When checking divisibility, if a number ( a ) divided by ( b ) gives a non-zero remainder, then ( b ) does not divide ( a ) evenly. In this case, since the remainder is 1, ( 100 ) is not divisible by ( 3 ).
Tips
- A common mistake is to overlook the need to check the remainder when performing division. Always ensure that the result of ( a \div b ) is a whole number or check the remainder to conclude divisibility.
