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Would math be easier if we had more fingers?
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Multiplication By Chunking
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Published on Nov 19, 2015
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1.
2-DIGIT MULTIPLICATION
CHUNKING
Would math be easier if we had more fingers?
Photo by
mrehan
2.
18 X 14
FIND THE PRODUCT
Multiplication can be thought of as repeated addition.
In this problem, you might think of 18 groups of 14 being added together one at a time.
Photo by
liquidnight
3.
REPEATED ADDITION
18 GROUPS OF 14
I bet she's thinking about using that calculator.
Even if she decides to use her calculator, she'll have to keep up with each addition so that she performs exactly 18 of them.
Photo by
Steven Leith
4.
PENCILS PLEASE
NO CALCULATOR
NO CALCULATORS!!!
Does this mean that we'll have to keep adding 14 until we've added all 18 addends?
By the way, I've forgotten why we are multiplying 18 times 14. We'll get back to that later.
Photo by
Bilal Lashari
5.
14+14+14+14+...
NOT!
Even with the calculator, we'd have to be sure to enter 14 exactly 18 times.
Photo by
angelsk
6.
LET'S CHUNK.
Let's gather larger groups of 14 together so we don't have to perform so many additions.
Let's CHUNK!
Photo by
Leo Reynolds
7.
GROUP 10CHUNKS OF 14
THAT'S 140
I like 10 because it is a friendly number to add, subtract, multiply, or divide by.
Let's add 10 chunks of 14 together.
Photo by
onezilla
8.
ADD 5 MORE CHUNKS
THAT'S 70 MORE (140+70+?)
Five is another friendly number in multiplication. I know my multiples of five.
And five is half of ten.
Photo by
Leo Reynolds
9.
ADD 2 CHUNKS
THAT'S 28 MORE (140+70+28+?)
Those twos are also friendly numbers. Multiplying by two is the same as doubling a number.
Photo by
Leo Reynolds
10.
ADD 1 CHUNK
THAT'S 14 MORE (140+70+28+14)
Photo by
Leo Reynolds
11.
18 X 14 = 252
THE PRODUCT IS 252.
We're done! Did anybody do this a different way?
Photo by
Sean MacEntee
12.
RECAP:
Start with 10 chunks of 14
Add a friendly 5 chunks.
Add 2 more chunks.
Add 1 last chunk.
Photo by
andyrusch
Harriette Knight
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