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Chapter 1: Problem 109

\(0 \div 2=0\) \(0 \div 1=0\) \(0 \div(-1)=\) \(0 \div(-2)=\)

Short Answer

Expert verified
The results for \(0 \div 2\), \(0 \div 1\), \(0 \div(-1)\) and \(0 \div(-2)\) are all 0.

Step by step solution

01

Apply Zero Property of Division

The zero property of division states that any number divided by 0 is undefined, and 0 divided by any number (except 0 itself) is 0. Apply this rule to \(0 \div 2\) and \(0 \div 1\). The results are 0.
02

Understand Signs in Division

Dividing a positive number by a negative number or a negative number by a positive number yields a negative result. Here, the numerator is 0, so 0 divided by any positive or negative number (except 0 itself) still results in 0.
03

Apply the Principles to the Remaining Divisions

Apply these principles to solve \(0 \div(-1)\) and \(0 \div(-2)\). Based on the zero property of division and the rule of signs in division, both these divisions should yield 0.

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