College

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]

Answer :

Sure, let's check which of the expressions have negative quotients:

1. [tex]\( 1.4 \div 99.9 \)[/tex]:
- Division of two positive numbers will always result in a positive quotient.
- Therefore, [tex]\( 1.4 \div 99.9 \)[/tex] does not have a negative quotient.

2. [tex]\( 5.7 + -2.2 \)[/tex]:
- This is an addition of a positive number and a negative number, not a division, so the concept of a quotient doesn't apply here in the same way as in division.
- Therefore, [tex]\( 5.7 + -2.2 \)[/tex] does not have a negative quotient.

3. [tex]\( -0.01 + 0.05 \)[/tex]:
- This is also an addition problem, involving a negative number and a positive number.
- Therefore, [tex]\( -0.01 + 0.05 \)[/tex] does not have a negative quotient.

4. [tex]\( -3 + -0.009 \)[/tex]:
- Again, this is an addition problem, not division.
- Therefore, [tex]\( -3 + -0.009 \)[/tex] does not have a negative quotient.

5. [tex]\( 0 \div -8.6 \)[/tex]:
- Division of zero by any non-zero number is zero. Thus, zero isn't negative or positive.
- Therefore, [tex]\( 0 \div -8.6 \)[/tex] does not have a negative quotient.

So, none of these expressions result in negative quotients.

Other Questions