We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this problem, we need to divide by . To do this, we'll use the method of moving the decimal point.
The number can be expressed as with an implied decimal point at the end. When dividing by , which is , we move the decimal point two places to the left to find the quotient.
After moving the decimal two places to the left, the result becomes .
Therefore, the solution to the problem is .
Solve the following exercise:
Because you're making the number smaller! Division reduces values, so must be less than 118. Moving left gives smaller results.
Count the zeros! 10 = 1 zero = 1 place left, 100 = 2 zeros = 2 places left, 1000 = 3 zeros = 3 places left, and so on.
Every whole number has an invisible decimal point at the end! So 118 is really - now you can move it left as needed.
Yes, but moving the decimal is much faster! Long division with gives the same answer but takes more time and steps.
Use the reverse check: multiply your answer by 100. If you get back to 118, your decimal placement is perfect!
Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime