Is the value of the first 4 ten times as great as the value of the second 4 in 4,043? Explain. What can you generalize about the
1 answer:
As per the the question we need to calculate the value of first 4 multiplied by 10.
Now in the number 4,043, the first 4 is at the thousands place. So the place value of first 4 in the digit 4,043 is 4000.
Multiplying the value of first 4 by 10 we get:
Now, the second 4 in the digit 4,043 is at the tens place. So the place value of second 4 in the digit 4,043 is 40.
We can see that two of them are not equal and the value of first 4 times ten is far greater than the value of second 4.
It can be said that two of the 4s in the digit 4,043 are at two different places, first is at thousands place and second is at tens place. So if the numbers are two places apart their place value will have difference of 100 folds.
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Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of
, this will give
- add
to both side of equality
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that . Use this equation in transforming the equation from step 3 to step 4)