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------------------------------------------------ Which expressions of signed decimal numbers have negative quotients? Check all that apply.

- [tex]1.4 \div 99.9[/tex]
- [tex]5.7 \div -2.2[/tex]
- [tex]-0.01 \div 0.05[/tex]
- [tex]-3 \div -0.009[/tex]
- [tex]0 \div -8.6[/tex]

To find out which expressions result in negative quotients, let's consider each expression with signed decimal numbers individually:

1. Expression: [tex]$1.4 \div 99.9$[/tex]
- Both numbers are positive.
- A positive number divided by a positive number results in a positive quotient.
- Therefore, the quotient is not negative.

2. Expression: [tex]$5.7 \div -2.2$[/tex]
- The first number is positive, and the second number is negative.
- A positive number divided by a negative number results in a negative quotient.
- Therefore, the quotient is negative.

3. Expression: [tex]$-0.01 \div 0.05$[/tex]
- The first number is negative, and the second number is positive.
- A negative number divided by a positive number results in a negative quotient.
- Therefore, the quotient is negative.

4. Expression: [tex]$-3 \div -0.009$[/tex]
- Both numbers are negative.
- A negative number divided by a negative number results in a positive quotient.
- Therefore, the quotient is not negative.

5. Expression: [tex]$0 \div -8.6$[/tex]
- The numerator (0) divided by any non-zero number results in zero.
- Zero is neither positive nor negative.
- Therefore, the quotient is not negative.

Based on the analysis above, the expressions that have negative quotients are:
- [tex]$5.7 \div -2.2$[/tex]
- [tex]$-0.01 \div 0.05$[/tex]

So, the expressions with negative quotients are the second and third ones.