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Use the properties of operations and rules for multiplying and dividing to solve:

(9)÷(54)×(79)×(−5)÷(72)

(1 point)
Responses

−8
negative 8

8
8

1,2258
Start Fraction 1,225 over 8 End Fraction

−1,2258

5 answers

To solve the expression \((9) \div (54) \times (79) \times (-5) \div (72)\), we can simplify it step by step.

  1. Start with the first division: \[ 9 \div 54 = \frac{9}{54} = \frac{1}{6} \]

  2. Now substitute that back into the expression: \[ \frac{1}{6} \times 79 \times (-5) \div 72 \]

  3. Next, multiply \(\frac{1}{6} \times 79\): \[ \frac{79}{6} \]

  4. Substitute that back into the expression: \[ \frac{79}{6} \times (-5) \div 72 \]

  5. Now, multiply \(\frac{79}{6} \times (-5)\): \[ \frac{79 \times (-5)}{6} = \frac{-395}{6} \]

  6. Substitute that back into the expression: \[ \frac{-395}{6} \div 72 \]

  7. Dividing by 72 can be rewritten as multiplying by the reciprocal: \[ \frac{-395}{6} \times \frac{1}{72} = \frac{-395}{432} \]

Now we have a simplified fraction, \(\frac{-395}{432}\).

Final result:

  • None of the provided options directly match this result. Therefore, the closest accurate representation of the solution is:

\(-\frac{395}{432}\)

Thus the answer is: \(-\frac{395}{432}\) or in the format of the options provided, it is not clearly represented.

If we focus only on the numerical assessment, this value is negative and can be addressed as an approximate percentage if necessary, or further evaluated depending on mathematical tasks.

In this case, please check the options again for any numerical errors in the input outcomes.

wrong

Let's carefully reevaluate the expression step by step.

The expression we need to compute is:

\[ (9) \div (54) \times (79) \times (-5) \div (72) \]

Step 1: Calculate \(9 \div 54\)

\[ 9 \div 54 = \frac{9}{54} = \frac{1}{6} \]

Step 2: Substitute this into the expression:

\[ \frac{1}{6} \times 79 \times (-5) \div 72 \]

Step 3: Now multiply \(\frac{1}{6} \times 79\):

\[ \frac{79}{6} \]

Step 4: Substitute this back into the expression:

\[ \frac{79}{6} \times (-5) \div 72 \]

Step 5: Multiply \(\frac{79}{6} \times (-5)\):

\[ \frac{79 \times -5}{6} = \frac{-395}{6} \]

Step 6: Now divide by 72:

When dividing by a number, we multiply by its reciprocal. So:

\[ \frac{-395}{6} \div 72 = \frac{-395}{6} \times \frac{1}{72} = \frac{-395}{432} \]

The values of these fractions and how they relate to the various provided options do not directly simplify into any of the suggested answers.

Let's convert \(\frac{-395}{432}\) into decimal form to assess if it helps identify an option.

Calculating it:

\[ -395 \div 432 \approx -0.914 \]

Neither \(-0.914\) nor \(\frac{-395}{432}\) appears among the provided options.

If we were to consider \(-8\) or \(-1,2258\) as potential simplifications or alternatives, we do not get them from any realignment of the previous steps unless an error persists in understanding the output.

Conclusion:

  • The expression evaluates to approximately \(-0.914\) or \(\frac{-395}{432}\). This does not correspond to any option given.

If you have a particular answer that you believe is correct, please share, and I can assist further!

wrong still

Apologies for the confusion in my previous explanations. Let's re-evaluate the problem step-by-step, ensuring we follow the order of operations accurately:

The given expression is:

\[ (9) \div (54) \times (79) \times (-5) \div (72) \]

Step 1: Calculate \(9 \div 54\)

\[ 9 \div 54 = \frac{9}{54} = \frac{1}{6} \]

Step 2: The expression now becomes:

\[ \frac{1}{6} \times 79 \times (-5) \div 72 \]

Step 3: Next, calculate \(\frac{1}{6} \times 79\):

\[ \frac{79}{6} \]

Step 4: Now the expression is:

\[ \frac{79}{6} \times (-5) \div 72 \]

Step 5: Multiply \(\frac{79}{6}\) by \(-5\):

\[ \frac{79 \times (-5)}{6} = \frac{-395}{6} \]

Step 6: Now the expression is:

\[ \frac{-395}{6} \div 72 \]

Step 7: Dividing \(\frac{-395}{6}\) by 72 is the same as multiplying by the reciprocal of 72:

\[ \frac{-395}{6} \times \frac{1}{72} = \frac{-395}{6 \times 72} = \frac{-395}{432} \]

Now let's simplify \(\frac{-395}{432}\):

  1. Check if both numbers share any common factors:
    • 395 is \(5 \times 79\).
    • 432 is \(2^4 \times 3^3\).

Since there are no common factors, \(\frac{-395}{432}\) is already in simplest form.

Converting to Decimal: \[ -395 \div 432 \approx -0.914 \]

No options provided appear to match up with our simplification. Let’s now return to your options:

  • \(-8\)
  • \(8\)
  • \(1,2258\) (which doesn’t quite seem formatted correctly, likely meaning \( \frac{1225}{8} \))
  • \(-1,2258\)

Now we shall calculate the numbers to ensure if anything seems inconsistency up to find the connection.

Re-evaluation for Approximation

Calculating step by step to find how to relate \( \frac{-395}{432}\):

This value \(-0.914\) doesn’t match with any of the main integer presented variances.

Further Exploration

Let's resolve with a more methodical approach in smaller steps clearly accounting from \(9\), \(54\), \(79\), \(-5\), \(72\) to find numerical understanding again.

Re-checking Multiplication of Individuals:

  • \( (79) \times (-5) \to (-395)\)
  • The collection \(\div 432\) is considered finding simpler steps.

Transitioning to General Multiplication: Working back, given higher numbers, let’s connect if resolving any errors were in initial misunderstandings.

Key Adjustment and Outcome Closure

If this has not connected to any matching factor, additional numerical arrangement should be examined besides contradictions addressed possible indication face rather than simple checks.

Can you confirm the formatting or total result anticipated shared? If I can assist further with corrections and alternative courses in calculation feel free to share the expected response or derive otherwise!