Question

Which shows two products that both result in positive values?
(0.5)(–0.4) and (1.2)(–0.8)
(–0.5)(–0.4) and (1.2)(–0.8)
(0.5)(0.4) and (–1.2)(–0.8)
(0.5)(–0.4) and (1.2)(0.8)

Answer 1

To determine which pairs of products result in positive values, let's analyze each option:

1. **(0.5)(–0.4)**: This results in a negative value because a positive number multiplied by a negative number gives a negative result.
2. **(1.2)(–0.8)**: This also results in a negative value for the same reason as above.

Both products in this pair are negative.

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1. **(–0.5)(–0.4)**: This results in a positive value because a negative number multiplied by another negative number gives a positive result.
2. **(1.2)(–0.8)**: This again results in a negative value.

Only one of the products is positive.

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1. **(0.5)(0.4)**: This results in a positive value because both numbers are positive.
2. **(–1.2)(–0.8)**: This also results in a positive value for the same reason as above (both are negative).

Both products in this pair are positive.

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1. **(0.5)(–0.4)**: As earlier, this results in a negative value.
2. **(1.2)(0.8)**: This results in a positive value as both numbers are positive.

Only one of the products is positive.

Based on this analysis, the pair that results in two positive values is:

**(0.5)(0.4) and (–1.2)(–0.8)**.