Operations with Rational Numbers — Test

Question 3 • Grade 7 Mathematics

Which product is positive?

Answer

2 fifths times open paren negative 8 ninths close paren times open paren negative 1 third close paren times open paren negative 2 sevenths close paren

open paren negative 2 fifths close paren times open paren negative 8 ninths close paren times 1 third times 2 sevenths

2 fifths times 8 ninths times 1 third times open paren negative 2 sevenths close paren

open paren negative 2 fifths close paren times 8 ninths times open paren negative 1 third close paren times open paren negative 2 sevenths close paren

Explanation

A product is positive when it has an even number of negative factors. In choice B, the factors −2/5 and −8/9 are negative, so there are two negative factors and the product is positive. The other choices each have an odd number of negative factors, so their products are negative.

AI-written and checked against the verified answer.

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