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777dan777 [17]
3 years ago
11

Simplify the ratio. 14 ft to 21 ft

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

14 ft to 21 ft = 2 ft to 3 ft

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Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify th
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Properties of equality have nothing to do with it. The associative and commutative properties of multiplication are used (along with the distributive property and the fact of arithmetic: 9 = 10 - 1).

All of these problems make use of the strategy, "look at what you have before you start work."


1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.

2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.

4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.

5. = 0 . . . . when a factor is zero, the product is zero
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How is the distributive property used to expand expressions? Give an example.
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Distributive property is used to expand expressions by multiplying the factor to every term in the group and combining similar terms if there are any. Hope this helps!

Step-by-step explanation:

An example is...

3(x+4) + 3(y-8)

This is the same thing as...

3x + 12 + 3y -8

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