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Try it: Applying the Rules of Signed Numbers to Decimals

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

1. 1.4 + 99.9
2. 5.7 - 2.2
3. -0.01 + 0.05
4. -3 + -0.009
5. 0 + -8.6

Answer :

Final answer:

To find expressions of signed decimal numbers with negative quotients, we need to perform the arithmetic operations. The expressions -0.01 +0.05, -3+-0.009, and 0+-8.6 have negative quotients.


Explanation:

In order to find expressions of signed decimal numbers that have negative quotients, we need to perform the arithmetic operations. Let's go through each expression:

  1. 1.4 +99.9: The sum of these two positive numbers will result in a positive value, so the quotient is not negative.
  2. 5.7 -2.2: Subtracting a positive number from another positive number can result in a positive or negative quotient, depending on the values. Here, the difference is positive, so the quotient is not negative.
  3. -0.01 +0.05: Adding a negative and a positive number together results in a negative value, so the quotient is negative.
  4. -3+-0.009: We have two negative numbers here. Adding two negative numbers together results in a negative value, so the quotient is negative.
  5. 0+-8.6: Adding a positive or negative number with zero will result in the same value, in this case, -8.6. Therefore, the quotient is negative.
From these expressions, the ones that have a negative quotient are: -0.01 +0.05, -3+-0.009, and 0+-8.6.

Learn more about Signed decimal numbers here:

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