To express the number 02353535 0235 in the form of pq where p and q are integers and q is not equal to zero, we first need to clarify the representation of the number itself. The leading zeros do not affect the numerical value, so we can treat the number as 2353535.235.
Now, we can rewrite this decimal number by separating the integer part and the decimal part. The integer part is 2353535 and the decimal part (.235) can be converted into a fraction. Specifically, we have:
0.235 = 235/1000
This means we can rewrite our initial number as:
2353535 + 235/1000
Now, to combine these two parts into a single fraction, we can express 2353535 as a fraction with a denominator of 1000:
2353535 = 2353535 * 1000 / 1000 = 2353535000 / 1000
So, the original number can now be expressed as:
pq = (2353535000 + 235) / 1000
This gives us:
p = 2353535000 + 235 = 2353535235
q = 1000
Now we have integers p and q, and importantly, q is not equal to zero, satisfying the condition:
- p = 2353535235
- q = 1000
Thus, we have successfully expressed 02353535 0235 in the form pq where both p and q are integers, and q is not zero.