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### Course: Arithmetic (all content)>Unit 3

Lesson 16: Multiplication and division word problems

# Multiplication word problem: carrots

Created by Sal Khan.

## Want to join the conversation?

• At Isn't it Same as finding Area ?
What if we had 1 carrot in 1st row 2 carrots in 2nd ................ n carrots in nth row Then what is Total number of carrots ? is there a General Formula ?
• The problem you described is this.. how much is 1 + 2 + 3 + 4 + 5 + ... + n and there is a formula that gives you the answer n*(n+1) / 2. The reason this is true is because you can always couple the smallest and largest numbers and get some constant (the constant is always n+1).. an example:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
1 + 8 = 9
2 + 7 = 9
3 + 6 = 9
4 + 5 = 9

So because you couple numbers you get n/2 pairs so to add all of them up we just have to multiply n/2 * constant = n/2 * (n+1) = n*(n+1)/2. I used an example where n is even, but it also works with odd n.
• there are 1,760 yards in one mile. about how many miles will a runner have to run before seeing both a water station and trail maker at the same location? calculate the answer to the nearest hundredth of a mile.
• Why are you having us do that? That has nothing to do with anything. Why don't we work on the problem Sal gave to us.
• i need help doing multpication b
• what is 0 over 3 divided by 78965 plus o divided by 9876
• how do you compare with mutipcation.