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Dividing Real Numbers
(-9)(5)/3
Answer: 15
4 – (-3) +1 / 2 –2 / (-2)
Answer: 2
16 / (-2) * (-4) / 2 3power + 4
Answer: 6
Subtracting Real Numbers
–1/2 – (-5/8)
Answer: 2
–3.4 – (-7.6)
Answer: -4.2
–54 – 119
Answer: 65
Adding Real Numbers
7+ (-9) + (-5) + 6
Answer: 17
|-27 + 14|
Answer: 13
Real Numbers and Order
3/7, -6/7,1/7, -1/2, 2/7
Answer: -6/7, -1/2, 1/7, 2/7, 3/7
|4| + |3|
Answer: 7
|-9| - |4|
Answer: 5
Multiplying Real Numbers
(-3)(-6) + (4) (-2)
Answer: -10
(-3)3power – (-8)(-2)
Answer: 11
(-6)2power - 4 2power
Answer: 20
-9 2power - (-6)2power
Answer: -117

Let's double check your answers step by step.

Dividing Real Numbers:
(-9)(5)/3
To divide real numbers, you need to multiply the numerator with the reciprocal of the denominator. In this case, the reciprocal of 3 is 1/3. So the calculation becomes:
(-9)(5) * (1/3) = -45/3 = -15

Answer: -15

4 – (-3) + 1 / 2 – 2 / (-2)
When multiple operations are involved, you should follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's rewrite the expression with parentheses to make it clearer:
4 – (-3) + 1 / (2 – 2) / (-2)

Now let's simplify:
4 – (-3) + 1 / 0 / (-2)
The expression within parentheses can be simplified as:
4 + 3 + 1 / 0 / (-2)
The expression within the second set of parentheses is 2 – 2 = 0, so we have:
4 + 3 + 1 / 0 / (-2)
Next, we calculate the division from left to right:
4 + 3 + 1 / 0 = 4 + 3 + undefined
Since division by zero is undefined, the entire expression becomes undefined.

Answer: Undefined

16 / (-2) * (-4) / (2^3 + 4)
Let's simplify this expression step by step:
16 / (-2) * (-4) / (8 + 4)
16 / (-2) = -8
-8 * (-4) = 32
8 + 4 = 12
Therefore, the expression becomes:
32 / 12
To simplify further, we can divide both numerator and denominator by their greatest common factor, which is 4:
8 / 3

Answer: 8/3 or 2.67

Subtracting Real Numbers:
–1/2 – (-5/8)
To subtract real numbers, we need to change the subtraction sign to addition and change the sign of the number being subtracted:
–1/2 + 5/8
To add fractions, we need a common denominator. The least common multiple (LCM) of 2 and 8 is 8, so we convert the fractions:
(-4/8) + (5/8) = 1/8

Answer: 1/8 or 0.125

–3.4 – (-7.6)
To subtract real numbers, we need to change the subtraction sign to addition and change the sign of the number being subtracted:
–3.4 + 7.6 = 4.2

Answer: 4.2

–54 – 119
To subtract real numbers, we just subtract their values:
-173

Answer: -173

Adding Real Numbers:
7 + (-9) + (-5) + 6
To add real numbers, we just add their values:
7 - 9 - 5 + 6 = -1

Answer: -1

|-27 + 14|
To find the absolute value of a number, we remove the negative sign if it exists:
|-27 + 14| = |(-13)| = 13

Answer: 13

Real Numbers and Order:
To order the given numbers from least to greatest, we can put them in ascending order. Let's rewrite them in ascending order:
-6/7, -1/2, 1/7, 2/7, 3/7

Answer: -6/7, -1/2, 1/7, 2/7, 3/7

|4| + |3|
To find the absolute value of a number, we remove the negative sign if it exists:
|4| + |3| = 4 + 3 = 7

Answer: 7

|-9| - |4|
|-9| - |4| = 9 - 4 = 5

Answer: 5

Multiplying Real Numbers:
(-3)(-6) + (4)(-2)
To multiply real numbers, we simply multiply their values:
(-3)(-6) + (4)(-2) = 18 - 8 = 10

Answer: 10

(-3)^(3) – (-8)(-2)
To calculate powers and multiply real numbers, we follow the order of operations:
(-3)^(3) – (-8)(-2) = -27 - 16 = -43

Answer: -43

(-6)^(2) - 4^(2)
To calculate powers and subtract real numbers, we follow the order of operations:
(-6)^(2) - 4^(2) = 36 - 16 = 20

Answer: 20

-9^(2) - (-6)^(2)
To calculate powers and subtract real numbers, we follow the order of operations:
-9^(2) - (-6)^(2) = -81 - 36 = -117

Answer: -117

I have reviewed and corrected your answers. Let me know if you have any other questions!