Magic 7 (Partial Quotients)

Magic 7 (Partial Quotients)


This video is to show you how to use
Magic 7, also known as Partial Quotients, to solve division problems.
It’s important to know the different parts of a division problem. The dividend
is a number that’s being divided into smaller parts. The divisor is the size of
that is being iterated to divide. The quotient is the answer to the problem.
We are going to practice division using the expression below. Ninety-six is our
dividend; seven is the divisor, and we’re solving for the quotient. With every
division problem, you need to put it into context.
I provided a word problem here: I bought 96 pieces of candy to pass out on
Halloween. If I gave each trick-or-treater seven pieces of candy,
how many people will get candy before I run out? To help me solve this problem, I’m
going to make a ratio table, like we did when we studied multiplication. Here, I
know that the top row shows the number of trick-or-treaters, and the bottom row
shows the pieces of candy. I’m iterating by seven. You can use a hundreds chart to
help you if you can’t remember your math facts. I want to use my ratio table to find
the closest multiple to our dividend. For this equation, that’s going to be seven
times ten. I then need to subtract 70 from my dividend, and then mark my partial
quotient outside the Magic Seven. The number outside my Magic 7 shows how many
groups of seven I have counted. So far, I have given seven pieces of candy
to ten different trick-or-treaters. Continue this process until you no
longer have a sufficient group of seven to subtract. I noticed that I have five left and my
dividend this is not enough to give another trick-or-treater seven pieces of
candy. The five pieces I have left over are called the remainder. Now I need
to add up my partial quotients. Be sure to check over your addition and
subtraction in both columns to make sure the answers are accurate. I notice ten plus
two plus one equals thirteen, and I need to make sure to communicate I have a
remainder of 5. Now that I’ve solved my problem, I know what the quotient is. 13
trick-or-treaters received seven pieces of candy and there are five pieces of
candy remaining. I hope this video helps you understand Magic 7 better. Magic
7 is also known as Partial Quotients. refer back to this video when you need
help with partial quotients for Magic seven

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