Number Sense Blog


    Word Problem Wednesday: Figure Out The Math Of Falling Leaves

    By Mathnasium | Added Dec 19, 2018

    Mathnasium is a math learning center that knows how to make elementary tutoring and math middle school problems enjoyable! Practice elementary school math skills such as multiplication, division, patterns and fractions with this week’s word problem challenge.

    Q: What did the little tree say to the bully tree?
    A: Leaf me alone.

    If that joke doesn’t grow on you, keep reading, we have a challenge that’s so much fun you’ll be rooted to the spot until you figure it out! Why? Because we’re a math learning center that knows how to make elementary tutoring and math middle school problems enjoyable!

    Practice elementary school math skills such as multiplication, division, patterns and fractions with this week’s word problem. Go ahead and give it a try. Don’t give up, its bark is worse than its bite. 


    Question: There are 1,024 leaves on a tree. On the first day, half of the leaves fall to the ground. Each day that follows, half of the remaining leaves fall to the ground. On what day will there be only 1 leaf left on the tree?

    Be sure to take your time, and when you're ready, look below to check your solution against ours.

     

    Solution: To solve this problem, we find the number of times we need to halve the leaves in order to get down to 1. On the first day, half of 1,024 = 512 stay on the tree. If we continue the process, we find that 256 are left on the tree the second day, 128 the third day, 64 the fourth day, 32 the fifth day, 16 the sixth day, 8 the seventh day, 4 the eighth day, 2 the ninth day, and only 1 leaf left on the tree the tenth day.

     

     

     

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