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kozerog [31]
3 years ago
10

When you multiply 2/3 by a fraction less then one how does the product compare to the factor

Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Answer:

The product will always be less than the factor.

Step-by-step explanation:

When you multiply numbers less than 1, you get a smaller factor each time.

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A computer rounded the number 129.257 to the nearest hundredth. What is this number rounded to the nearest hundredth? A .100 B.
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3 years ago
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What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
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3 years ago
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Prove that if xy &gt; 0, then either x &gt; 0 and y &gt; 0 or x &lt; 0 and y &lt; 0
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The rule of product states that:

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  • (-) \cdot (+) = (-)
  • (-) \cdot (-) = (+)

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

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Answer: the answer is 21

Step-by-step explanation:

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3 years ago
Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?
9966 [12]

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30,  the side AB is the small leg  (=x).

When B = 90, the hypotenuse is  AC ( =2x).

When A =  60, the larger leg is BC (=√3x).

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