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Channel: How do I explain why multiplying $0.8 \times 0.8$ is less than $0.8$? - Mathematics Stack Exchange
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Answer by 123 for How do I explain why multiplying $0.8 \times 0.8$ is less...

You have a few good answers. I will try to explain this in an intuitive way.Think of these numbers relative to 1. If .8 is your starting number and you want to multiply it by .8 then what you are...

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Answer by heropup for How do I explain why multiplying $0.8 \times 0.8$ is...

$0.8$ is analogous to $80\%$. If you have $80\%$ of a whole pie--that is to say, the pie was cut into five equally sized pieces, and one piece was already eaten, leaving four left--then say you want to...

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Answer by Adriano for How do I explain why multiplying $0.8 \times 0.8$ is...

The others have answered the question in your title, but I'll address why the approach that you memorized from elementary school actually works in the first place.Recall that:To divide by $10$, you...

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Answer by daOnlyBG for How do I explain why multiplying $0.8 \times 0.8$ is...

No problem- thanks for taking the initiative to follow up with your questions.As for your first question, your daughter forgot to add a term. Allow me to illuminate:Consider two numbers, $a,b$. They...

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Answer by paw88789 for How do I explain why multiplying $0.8 \times 0.8$ is...

You could use an area model. Draw a square and cut it into tenths in each direction. Then shade $\frac{8}{10}$ by $\frac{8}{10}$. This will show $64$ of the $100$ subsquares being shaded.

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Answer by Michael Hardy for How do I explain why multiplying $0.8 \times 0.8$...

Say you want to multiply $3$ by $4$.$$\begin{array}{cccccccccccccccc}0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\| & | & | & |...

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Answer by vadim123 for How do I explain why multiplying $0.8 \times 0.8$ is...

$0.8=\frac{4}{5}$. four-fifths of four-fifths is sixteen-twenty-fifths.Also, $$4.8\times 4.8 = (4+0.8)\times(4+0.8)=(4\times 4)+(4\times 0.8)+(0.8\times 4)+(0.8\times 0.8)$$Hence your daughter's...

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Answer by Mark Bennet for How do I explain why multiplying $0.8 \times 0.8$...

$0.8 \times $ something is the same as taking $80\%$ and this is less than $100\%$.

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Answer by jameselmore for How do I explain why multiplying $0.8 \times 0.8$...

$0.8 \times 1 = 0.8$$0.8 \times 1.5 > 0.8$$0.8 \times 0.8 < 0.8$ $0.8 < 1$, so naturally, any number you multiply it by will be reduced.

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How do I explain why multiplying $0.8 \times 0.8$ is less than $0.8$?

I'm math is very rusty so forgive me for a trivial question.In my daughters home work she had the sum $4.8 \times 4.8$. Her thought process was to multiply $4 \times 4 =16$ and then $0.8 \times 0.8$...

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