26.5 ÷ (-5) = -61.2 ÷ (-100) =

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Understand the Problem

The question consists of two division problems involving negative numbers. The first problem is dividing 26.5 by -5, and the second involves dividing -61.2 by -100. The goal is to perform these calculations and fill in the results.

Answer

26.5 ÷ (-5) = $-5.3$, -61.2 ÷ (-100) = $0.612$
Answer for screen readers

26.5 ÷ (-5) = $-5.3$
-61.2 ÷ (-100) = $0.612$

Steps to Solve

  1. Divide 26.5 by -5

To perform the first division, divide 26.5 by -5. Since a positive number divided by a negative number results in a negative number, we have:

$$ 26.5 \div -5 = -5.3 $$

  1. Divide -61.2 by -100

For the second division, divide -61.2 by -100. Here, a negative number divided by another negative number gives a positive number, so:

$$ -61.2 \div -100 = 0.612 $$

26.5 ÷ (-5) = $-5.3$
-61.2 ÷ (-100) = $0.612$

More Information

The first division results in a negative quotient because of the division of a positive number by a negative number. The second division yields a positive quotient since both numbers are negative. This demonstrates how signs affect results in division.

Tips

  • A common mistake is forgetting the rules for dividing positive and negative numbers. Remember that:
    • Positive ÷ Negative = Negative
    • Negative ÷ Negative = Positive

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