50 divided by 40 with steps no remainder
The Correct Answer and Explanation is:
Division of 50 by 40
Step-by-Step Solution:
- Set Up the Division Problem:
- We are dividing 50 by 40.
- Written as ( 50 \div 40 ).
- Perform the Division:
- Determine how many times 40 can go into 50 without exceeding it. This is 1 time.
- Multiply ( 1 \times 40 = 40 ).
- Subtract:
- Subtract ( 40 ) from ( 50 ):
( 50 – 40 = 10 ).
- Remainder:
- After subtracting, we are left with 10, which is the remainder. Since the problem specifies “no remainder,” we continue by converting this division into a decimal.
- Continue the Division with Decimals:
- Add a decimal point to 50 and bring down a 0, making it ( 100 ).
- Now divide ( 100 \div 40 ). The result is 2. Multiply ( 40 \times 2 = 80 ).
- Subtract ( 100 – 80 = 20 ).
- Add another 0 to make it ( 200 ).
- Divide ( 200 \div 40 = 5 ). Multiply ( 40 \times 5 = 200 ).
- Subtract ( 200 – 200 = 0 ). The division ends here.
- Final Answer:
- The result of ( 50 \div 40 = 1.25 ).
Explanation
The division ( 50 \div 40 ) asks how many groups of 40 can fit into 50. Initially, 40 fits into 50 exactly 1 time, leaving a remainder of 10. To eliminate the remainder and achieve an exact decimal answer, we continue dividing by extending the number with decimals.
When extending with decimals, the remainder 10 becomes 100. Dividing 100 by 40 gives 2, and the process repeats until the remainder is eliminated, producing the final quotient of 1.25.
In practical terms, 50 divided by 40 means each “unit of 40” represents ( \frac{50}{40} ), or 1.25. This approach is used in measurements, finances, or any context where precise ratios are required. Decimal division ensures accuracy and avoids leaving unresolved remainders.