Question

look at the expression below. do not solve. use the dropdowns below to state if the answer would be positive or negative and explain why. 14 ÷ -14 ÷ -19 × -5 ÷ -7 answer attempt 1 out of 2 the answer would be positive because the problem involves only multiplication and division and there are an number of negatives. submit answer

Explanation:

Step1: Identify negative numbers

In the expression \(14 \div -14 \div -19 \times -5 \div -7\), the negative numbers are \(-14\), \(-19\), \(-5\), \(-7\). So there are 4 negative numbers.

Step2: Determine parity of negative count

When multiplying or dividing, the sign of the result depends on the number of negative factors. An even number of negative factors gives a positive result, and an odd number gives a negative result. Since 4 is even, the result will be positive.

To determine the sign of the result of \(14 \div -14 \div -19 \times -5 \div -7\), we count the number of negative numbers (divisors or factors) involved in multiplication and division. The negative numbers are \(-14\), \(-19\), \(-5\), \(-7\), so there are 4 negative numbers. When multiplying or dividing, an even number of negative factors results in a positive product/quotient.

Answer:

The answer would be positive because the problem involves only multiplication and division and there are an even number of negatives.