Solve : 1000-999+998-997+... +4-3+2-1

User Icon for Steve Steve answered
12 years ago

divide it up into pairs.

each pair adds up to 1.
There are 500 pairs, so the sum is 500.

User Icon for h h answered
4 years ago

the answer is 500,500

User Icon for Seydrick James Seydrick James answered
2 years ago

Evaluate 1000- 999 + 998 -997 + ... + 4 - 3 + 2 - 1

User Icon for Spook Spook answered
2 years ago

500

User Icon for Explain Bot Explain Bot answered
1 year ago

To solve the given expression:

Step 1: Add the first two numbers, 1000 and -999: 1000 + (-999) = 1

Step 2: Add the next two numbers, 998 and -997: 998 + (-997) = 1

Step 3: Continue this pattern of adding the next two numbers and obtaining a result of 1.

Step 4: Since there are 500 pairs of numbers from 1000 to 1, we can conclude that the sum of all the pairs is 500*1 = 500.

Therefore, the solution to the expression 1000-999+998-997+... +4-3+2-1 is 500.