Elementary Algebra Homework 11: Which Statement Is Correct? ✓ Solved
Elementary Algebra Homework 11 Which Statement Is Correct A
Which statement is correct?
A. – 34
B. – 34 > 47
C. 34
D. 34 > .
Given M = ( - 10 , -9 , -6 , - 5 , -2 ), which elements of set M are greater than -8?
A. -10
B. -9, -6, -5, -2
C. -10, -9
D. -6, -5, -.
Which statement is correct?
A. - |8| = 8
B. - |-8| = 8
C. |-8| = -8
D. |-8| = .
Add: 8 + (-11)
A. – 3
B. 19
C. -19
D. .
Add: 9 + (-6) + (-2)
A. 13
B. – 1
C. 1
D. -.
Subtract: -
A. -21
B. 61
C. -89
D. .
Multiply: 6(-32)
A. -26
B. -38
C. -192
D. .
Multiply: (-)
A. -24
B. 24
C. -36
D. .
Divide: -120 / -15
A. 8
B. -135
C. -8
D. .
Divide: 154 à· (-22)
A. -132
B. 7
C. 132
D. -7
Paper For Above Instructions
Elementary algebra is a foundational branch of mathematics that serves as a critical building block for higher-level math and many scientific disciplines. It presents various statements, problems, and concepts that require comprehension and problem-solving skills. In this paper, we will analyze several elementary algebra statements, compute values from specified operations, and explore the properties of numbers.
Assessing Statements
Let's analyze the correctness of the statements presented.
1. Evaluating the inequality –34 : This inequality is true because -34 is indeed less than 47. So, option A is the correct statement.
2. Checking which elements of set M are greater than -8: Given M = (-10, -9, -6, -5, -2), the elements greater than -8 are -6, -5, and -2, making option B the correct choice.
Analyzing Absolute Values
Next, we consider the absolute value equations:
1. - |8| = 8: This statement is false; the absolute value of 8 is 8, and thus -|8| equals -8, not 8.
2. - |-8| = 8: Similar to the first point, |-8| is also 8. Hence, this statement too is false.
3. |-8| = -8: The correct absolute value of -8 is 8; hence this statement is false as well.
4. |-8| = 8: This is indeed true and indicates the property of absolute values correctly.
Performing Basic Arithmetic Operations
We can now perform a series of arithmetic operations:
1. Adding 8 + (-11): 8 + (-11) gives us 8 - 11 = -3, making option A correct.
2. Calculating 9 + (-6) + (-2): This simplifies to 9 - 6 - 2 = 1, making option C correct.
Further Operations
For the subtraction operation, the exact expression was not provided. Assuming a realistic operation would involve numbers such as -5 - 3, which equal -8.
1. Multiplying 6 * (-32): This equals -192 (6 multiplied by -32), confirming option C.
2. Another multiplication example (-6 * -4) would yield 24, hence option B would be correct in that case.
3. Dividing -120 by -15 results in 8, making that statement correct.
4. Lastly, dividing 154 by -22 yields approximately -7, confirming option D is accurate.
Conclusion
The analysis of algebraic statements and arithmetic operations confirm the validity of several elementary algebra principles and rules. Each question requires a fundamental understanding of inequalities, absolute values, and arithmetic operations, showcasing the importance of mastering these concepts in elementary algebra.
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