-6 × (-8) = 30 ÷ (-6) =

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Understand the Problem

The question involves performing multiplication and division with negative numbers to find the results of two arithmetic operations.

Answer

- For $-6 \times (-8)$: $48$ - For $30 \div (-6)$: $-5$
Answer for screen readers
  • For $-6 \times (-8)$, the result is $48$.
  • For $30 \div (-6)$, the result is $-5$.

Steps to Solve

  1. Calculating the multiplication

To find the result of $-6 \times (-8)$, we use the rule that multiplying two negative numbers results in a positive product.

So, we have: $$ -6 \times (-8) = 48 $$

  1. Calculating the division

For the division $30 \div (-6)$, recall that dividing a positive number by a negative number results in a negative quotient.

Thus: $$ 30 \div (-6) = -5 $$

  • For $-6 \times (-8)$, the result is $48$.
  • For $30 \div (-6)$, the result is $-5$.

More Information

The multiplication of two negative numbers yielding a positive result is a fundamental rule in arithmetic. Likewise, dividing a positive number by a negative number results in a negative number. Combining these rules helps in simplifying expressions involving negative numbers.

Tips

  • Confusing the signs while multiplying or dividing. Remember: negative × negative = positive; positive ÷ negative = negative.
  • Neglecting the order of operations, although for straightforward multiplication and division like this, order isn't an issue.

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