Explain why it works to break apart a number by place values to multiply
1 answer:
Breaking Apart Strategy is an easy way to find multiplication, even though those are difficult ones. This is a great strategy for breaking apart harder multiplication problems, so the result you get is the same as if you are multiplying the original equation.
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For example, suppose you want to get this multiplication:
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So eight times seven is a tricky one sometimes. Maybe we forget this multiplication so let's break it apart. Therefore, let's break apart seven, that is:
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This is true because five and two makes seven. Therefore, the new equation is:
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Applying distributive property:
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So:
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<span>As you can see the multiplication was obtained in a easy way.
</span>
<span>
For example, suppose you want to get this multiplication:
</span>
<span>
So eight times seven is a tricky one sometimes. Maybe we forget this multiplication so let's break it apart. Therefore, let's break apart seven, that is:
</span>
<span>
This is true because five and two makes seven. Therefore, the new equation is:
</span>
<span>
Applying distributive property:
</span>
<span>
So:
</span>
<span>As you can see the multiplication was obtained in a easy way.
</span>
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Answer:
A: True
B, C and D: False
Step-by-step explanation:
We have a total sales tax for Alabama that is:
The total sales tax for Florida is:
The total sales tax is greater in Florida than in Alabama.
A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE
The sales tax difference in this purchase can be calculated as:
B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)
C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)
The amount of sales tax in Alabama is:
D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).