The total distance of the sea route from Mumbai to Chennai is 2,700 km. A ship starting from Mumbai first reaches the Cochin port, travelling 1,083 km by sea. How much more distance does it have to travel to reach the Chennai port?
Given: Total distance = 2,700 km Distance traveled = 1,083 km
Formula: Remaining distance = Total distance - Distance traveled
Substitution: Remaining distance = 2,700 - 1,083
Calculation: 2,700 - 1,083 = 1,617
Answer: The ship has to travel 1,617 km more to reach Chennai.
Explanation
The chapter demonstrates subtraction of large numbers using place value. 2,700 - 1,083: We need to borrow. Ones: 10-3=7, Tens: 9-8=1, Hundreds: 16-10=6 (after borrowing), Thousands: 1-0=1. Answer: 1,617 km.
Solution Steps
Step 1: Set up subtraction: 2,700 - 1,083
Step 2: Ones: 0 - 3 cannot be done, borrow from tens. But tens is 0, so borrow from hundreds. Hundreds becomes 6, tens become 10, then borrow from tens. Ones: 10 - 3 = 7
Step 3: Tens: 9 - 8 = 1
Step 4: Hundreds: 6 - 0 = 6
Step 5: Thousands: 1 - 0 = 1
Step 6: Answer: 1,617 km