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he absolute value of a number is always positive or 0.

Group of answer choices

True

False

I chose true but I am not sure

9 answers

Your choice is correct. The statement "The absolute value of a number is always positive or 0" is true. The absolute value of a number represents its distance from zero on the number line, regardless of the direction, and thus it is never negative. Absolute values can be either positive or zero.

Evaluate the expression and enter your answer in the box below.

9 - (-1)

To evaluate the expression \( 9 - (-1) \), you can rewrite it as:

\[ 9 + 1 \]

This is because subtracting a negative number is the same as adding its positive counterpart.

Now, calculate:

\[ 9 + 1 = 10 \]

So, the answer is \( 10 \).

Evaluate the expression and enter your answer in the box below.

7 x 3 - 7 + 24 x 3 - 5

To evaluate the expression \( 7 \times 3 - 7 + 24 \times 3 - 5 \), follow the order of operations (which is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. First, perform the multiplications:

    • \( 7 \times 3 = 21 \)
    • \( 24 \times 3 = 72 \)

  2. Now substitute back into the expression: \[ 21 - 7 + 72 - 5 \]

  3. Next, perform the operations from left to right:

    • \( 21 - 7 = 14 \)
    • \( 14 + 72 = 86 \)
    • \( 86 - 5 = 81 \)

So, the final answer is \( 81 \).

Evaluate the expression and enter your answer in the box below.

1. -4 x (4 + 2) + 234 x 9


2. Evaluate the expression and enter your answer in the box below.

[(18 + 10) x 2] + 4 x (6 - 4)

Let's evaluate each expression step-by-step.

Expression 1:

\[ -4 \times (4 + 2) + 234 \times 9 \]

  1. First, calculate the expression inside the parentheses: \[ 4 + 2 = 6 \]

  2. Substitute back into the expression: \[ -4 \times 6 + 234 \times 9 \]

  3. Now, perform the multiplications: \[ -4 \times 6 = -24 \] \[ 234 \times 9 = 2106 \]

  4. Combine the two results: \[ -24 + 2106 = 2082 \]

So, the answer for Expression 1 is 2082.

Expression 2:

\[ [(18 + 10) \times 2] + 4 \times (6 - 4) \]

  1. First, calculate the expressions inside the parentheses: \[ 18 + 10 = 28 \] \[ 6 - 4 = 2 \]

  2. Substitute back into the expression: \[ [28 \times 2] + 4 \times 2 \]

  3. Now, perform the multiplications: \[ 28 \times 2 = 56 \] \[ 4 \times 2 = 8 \]

  4. Combine the two results: \[ 56 + 8 = 64 \]

So, the answer for Expression 2 is 64.

Final answers:

  1. Expression 1: 2082
  2. Expression 2: 64
umm those 2 were incorrect.

I apologize for the oversight. Let’s carefully reevaluate each expression step by step.

Expression 1:

\[ -4 \times (4 + 2) + 234 \times 9 \]

  1. Evaluate inside the parentheses: \[ 4 + 2 = 6 \]

  2. Now substitute back: \[ -4 \times 6 + 234 \times 9 \]

  3. Perform the multiplications:

    • \( -4 \times 6 = -24 \)
    • \( 234 \times 9 = 2106\)

  4. Add the results: \[ -24 + 2106 = 2082 \]

Result for Expression 1: 2082 (Please double-check if there were specific contexts or rounding issues, but the math checks out.)

Expression 2:

\[ [(18 + 10) \times 2] + 4 \times (6 - 4) \]

  1. Evaluate inside the parentheses:

    • For \( (18 + 10) \): \[ 18 + 10 = 28 \]
    • For \( (6 - 4) \): \[ 6 - 4 = 2 \]

  2. Now substitute back: \[ (28 \times 2) + (4 \times 2) \]

  3. Perform the multiplications:

    • \( 28 \times 2 = 56 \)
    • \( 4 \times 2 = 8 \)

  4. Add the results: \[ 56 + 8 = 64 \]

Result for Expression 2: 64

If these solutions still do not align with expected answers, please provide details on where the discrepancy might be, and I will help clarify further!