Add & Subtract Rational Numbers Unit Test

−2.0, −1.02, 0.25, 1.98

Describe all the sets and subsets the number 23 belongs to and enter the number corresponding to the correct answer as your response.

There are multiple sets and subsets that the number 23 belongs to. Here are some examples:

1. The set of natural numbers: {1, 2, 3, 4, ...}
2. The set of whole numbers: {0, 1, 2, 3, ...}
3. The set of integers: {..., -3, -2, -1, 0, 1, 2, 3, ...}
4. The set of rational numbers: fractions and decimals that can be expressed as a quotient of two integers (e.g., 1/2, 0.5)
5. The set of real numbers: all numbers that can be represented on a number line, including rational and irrational numbers (e.g., π, √2)

Based on these sets and subsets, the correct answer would be 4. The number 23 belongs to the set of rational numbers.

Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?

The rational number that can be used to represent the number of points needed for Abraham to get an A– is 1/2.

Place the following numbers in order as they would appear on a number line, left to right: −2.0, 0.25, −1.02, 1.98.

−2.0, −1.02, 0.25, 1.98

Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.

To find the sum of p and q, we simply add the two numbers together:

p + q = 34 + (-114)
= -80

So, the sum of p and q is -80.

Add 10.82+(−15.96).

To add 10.82 and -15.96, we simply add the two numbers together:

10.82 + (-15.96) = -5.14

Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?

A real-world problem that could be solved with the sum 102.50 + (-39.95) could be calculating the total cost of shopping items with discounts or deductions.

For example, if you have purchased items totaling $102.50 and there is a discount or deduction of $39.95, you can calculate the final cost by finding the sum of 102.50 + (-39.95) to determine the amount you need to pay.

It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?

To find the current temperature, we need to subtract the change in temperature from the temperature yesterday:

13°C + (-18.6°C) = -5.6°C

The current temperature is -5.6°C.

Use the additive inverse to find −492.89−(−871.78).

To find the expression -492.89 - (-871.78), we can use the additive inverse. The additive inverse of a number is the opposite of that number.

So, the additive inverse of -871.78 is 871.78.

Therefore, -492.89 - (-871.78) can be rewritten as -492.89 + 871.78.

To add these numbers, we can line them up vertically and add:

-492.89
+ 871.78
____________
378.89

Therefore, -492.89 - (-871.78) is equal to 378.89.

Determine the distance between −18.26 and −2.45 on a number line.

To find the distance between -18.26 and -2.45 on a number line, we need to find the absolute value of the difference between the two numbers.

|-18.26 - (-2.45)|

Simplifying this, we have:

|-18.26 + 2.45|

Now we can add the two numbers:

-18.26 + 2.45 = -15.81

Finally, we take the absolute value of -15.81:

| -15.81 | = 15.81

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81 units.

Subtract 24−(−15).

To subtract 24 - (-15), we can rewrite it as a addition problem by changing the signs of the second term:

24 + 15

Performing the addition:

24 + 15 = 39

Therefore, 24 - (-15) is equal to 39.

What is 1749 + 59 − 8 − 10?

To calculate 1749 + 59 - 8 - 10, we can perform the addition and subtraction in order:

1749 + 59 - 8 - 10

= 1808 - 8 - 10

= 1800 - 10

= 1790

Therefore, the result of 1749 + 59 - 8 - 10 is 1790.

Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home? Write your answer as a mixed number only.

To find how far Joey was from home, we can subtract the distance he walked west from the distance he walked east:

Distance from home = Distance walked east - Distance walked west

= 1523 meters - 2134 meters

= -611 meters

Since the result is negative, it means Joey is 611 meters to the west of his home.

Therefore, Joey is 611 meters from home.

Which situation describes opposite quantities that when combined would equal 0?

The situation that describes opposite quantities that when combined would equal 0 is the scenario of having a positive and a negative value that are equal in magnitude.

For example, if we have a positive number, say 5, and a negative number that is the opposite of 5, which is -5, when we combine them, 5 + (-5), the result is 0. This represents opposite quantities canceling each other out and resulting in a net sum of zero.