10 y z over negative 2 z
To simplify the expression 10yz/-2z, we can cancel out the common factor z in the numerator and denominator:
10yz / -2z = 10y/-2 = -5y
7.56 times 6 point 7(repetitive)
To multiply 7.56 by 6.7 (repetitive), we can write 6.7 (repetitive) as a fraction:
6.7 (repetitive) = 6.7777...
Now we can multiply:
7.56 * 6.7 (repetitive) = 7.56 * 6.7777...
To bring the repeating decimal into a proper fraction, we'll use the variables x and y:
x = 6.7777...
10x = 67.7777...
10x - x = 67.7777... - 6.7777...
9x = 61
Now we can solve for x:
x = 61 / 9
x = 6.7777...
Now we can substitute this value back into the original multiplication:
7.56 * 6.7 (repetitive) = 7.56 * 6.7777... = 51.2772...
Therefore, the result is approximately 51.2772.
is the product rational or irrational
The product of 7.56 and 6.7(repetitive) is irrational because it involves a non-terminating, non-repeating decimal. The decimal representation of the product will also be non-terminating and non-repeating.
To simplify the expression 10y/z over -2z, we can follow these steps:
Step 1: Simplify the numerator.
The numerator is 10y/z.
Step 2: Simplify the denominator.
The denominator is -2z.
Step 3: Divide the numerator by the denominator.
Dividing 10y/z by -2z is the same as multiplying by the reciprocal of -2z. The reciprocal of -2z is -1/2z.
Thus, the simplified expression is (10y/z) * (-1/2z) or -(10y)/(2z^2) or -(5y)/(z^2).
To simplify the expression 10yz / (-2z), you can follow these steps:
Step 1: Simplify the negative sign:
Since the negative sign is outside the fraction, it can be moved to the numerator or denominator. Let's move it to the numerator, but remember that multiplying or dividing both numerator and denominator by the same value does not change the value of the fraction. So, rewriting the expression, we have (-10yz) / (2z).
Step 2: Simplify the coefficient:
Now, let's simplify the coefficient. -10yz can be simplified further. We can cancel out a common factor of 2 from -10yz and 2z in the numerator and denominator, respectively. We are left with -5y as the simplified expression.
So, the simplified form of 10yz / (-2z) is -5y.