Final Answer:
The solution is 3,500 ÷ 7 = 500
Step-by-step explanation:
To mentally calculate 3,500 ÷ 7, start by considering 7 times 5, which equals 35. This is the units digit of the quotient. Now, since we are dividing by 7, we can extend this to find the hundreds digit. Multiplying 35 by 100 (to account for the two zeros in 3,500) gives us 3,500, indicating that 500 is the quotient.
Therefore, 3,500 ÷ 7 equals 500.
Mental math becomes efficient when you identify divisors that simplify the calculation. In this case, recognizing that 7 goes into 35 ten times (7 multiplied by 10 equals 70), and then considering the additional zero in 350, allows for a quick and accurate mental division.
Developing mental math skills involves practicing multiplication tables and identifying numerical patterns. Regular exercises and breaking down complex calculations into simpler steps contribute to a more efficient mental math process.