Which of the following is a real-world problem that could be solved with the sum −22+9?
1 Quinn is playing a card game with his friends. He had −22 points at the start of his turn, but just got 9 points. How many points does he now have?
2 The temperature was −22°F yesterday. Today the temperature is 9°F. How much warmer is it today compared with yesterday?
3 A scuba diver is 22 feet below sea level. Their friend is standing on a diving board 9 feet above sea level. What is the vertical distance between the scuba diver and their friend?
4 Layla earned $22 babysitting last weekend. Today she received $9 from her grandmother. How much money does she have all together?
The real-world problem that could be solved with the sum −22+9 is number 2: The temperature was −22°F yesterday. Today the temperature is 9°F. How much warmer is it today compared with yesterday?
Can you tell me
Yes, of course! To find out how much warmer it is today compared to yesterday, we can subtract yesterday's temperature from today's temperature.
Today's temperature: 9°F
Yesterday's temperature: -22°F
We can calculate this as:
9°F - (-22°F) = 9°F + 22°F = 31°F
So, it is 31 degrees warmer today compared to yesterday.
It was −8°F this morning, but the temperature has gone up 11° over the course of the day. What is the temperature now?
To find the current temperature after a rise of 11 degrees from the starting temperature of -8°F, we can add 11 to -8.
Starting temperature: -8°F
Change in temperature: +11°F
We can calculate this as:
-8°F + 11°F = 3°F
Therefore, the current temperature is 3°F.
There are some areas of land on Earth that are below sea level. Imagine you are at the Dead Sea in Africa, which has an elevation of about −1,410 feet (1,410 feet below sea level). You then climb up 125 feet. What is your new elevation?
To find your new elevation after climbing up 125 feet from an elevation of -1,410 feet, we can add 125 to -1,410.
Starting elevation: -1,410 feet
Climbing: +125 feet
We can calculate this as:
-1,410 feet + 125 feet = -1,285 feet
Therefore, your new elevation is -1,285 feet.
Reem owes her friend $15.25. Reem works after school and earns $43.78. After paying her friend back, how much money does she have?
To find out how much money Reem has after paying her friend back, we need to subtract the amount she owes from the amount she earns.
Amount owed: $15.25
Amount earned: $43.78
To calculate this, we subtract the amount owed from the amount earned:
$43.78 - $15.25 = $28.53
Therefore, after paying her friend back, Reem will have $28.53.
Thank you help bot!
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Use the additive inverse to find −123.45−(−234.76)
To find −123.45−(−234.76) using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of a negative number is its positive counterpart. So, −(−234.76) can be rewritten as +234.76.
Therefore, −123.45−(−234.76) becomes −123.45 + 234.76.
We can now add these two numbers together:
−123.45 + 234.76 = 111.31
So, −123.45−(−234.76) is equal to 111.31.
Wait what's the answer?
Apologies for the confusion. Let's reevaluate the calculation correctly.
To find −123.45−(−234.76), we need to perform subtraction by adding the additive inverse of the second number.
The additive inverse of −234.76 is +234.76.
Therefore, −123.45−(−234.76) becomes −123.45 + 234.76.
We can now add these two numbers together:
−123.45 + 234.76 = 111.31
So, the correct answer is 111.31.
Ok, thank you can you Use the additive inverse to find −2445−6710.
To find −2445−6710 using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of a negative number is its positive counterpart. So, −6710 can be rewritten as +6710.
Therefore, −2445−6710 becomes −2445 + 6710.
We can now add these two numbers together:
−2445 + 6710 = 4265
So, −2445−6710 is equal to 4265.
My bad, I meant
-24 4/5
-6 7/10
To find -24 4/5 - (-6 7/10) using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of -(-6 7/10) is +6 7/10.
Therefore, -24 4/5 - (-6 7/10) becomes -24 4/5 + 6 7/10.
Next, we need to convert the mixed numbers into improper fractions:
-24 4/5 = -124/5
6 7/10 = 67/10
Now, we can add the two fractions:
-124/5 + 67/10
To add these fractions, we need to find a common denominator, which is 10:
(-124/5) * (2/2) = -248/10
67/10
Now, we can add the fractions:
-248/10 + 67/10 = -181/10
So, -24 4/5 - (-6 7/10) is equal to -181/10 or -18 1/10.
Wait so, what's the answer
Apologies for the confusion. Let's reevaluate the calculation correctly.
To find -24 4/5 - (-6 7/10) using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of -(-6 7/10) is +6 7/10.
Therefore, -24 4/5 - (-6 7/10) becomes -24 4/5 + 6 7/10.
Next, we need to convert the mixed numbers into improper fractions:
-24 4/5 = -124/5
6 7/10 = 67/10
Now, we can add the two fractions:
-124/5 + 67/10
To add these fractions, we need to find a common denominator, which is 10:
(-124/5) * (2/2) = -248/10
67/10
Now, we can add the fractions:
-248/10 + 67/10 = -181/10
So, -24 4/5 - (-6 7/10) is equal to -181/10 or -18 1/10.
Use the additive inverse to find -24 4/5
-6 7/10
To find -24 4/5 - (-6 7/10) using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of -(-6 7/10) is +6 7/10.
Therefore, -24 4/5 - (-6 7/10) becomes -24 4/5 + 6 7/10.
To add these mixed numbers, we need to convert them to improper fractions:
-24 4/5 = -24 * 5/5 + 4/5 = -120/5 + 4/5 = -116/5
6 7/10 = 6 * 10/10 + 7/10 = 60/10 + 7/10 = 67/10
Now, we can add the fractions:
-116/5 + 67/10
To add these fractions, we need to find a common denominator, which is 10:
(-116/5) * (2/2) = -232/10
67/10
Now, we can add the fractions:
-232/10 + 67/10
Adding the fractions together, we get:
-165/10
Simplifying, we have:
-165/10 = -16 5/10 = -16 1/2
Therefore, -24 4/5 - (-6 7/10) is equal to -16 1/2.
Use the additive inverse to find -24 4/5 -6 7/10
Which answer is correct?
1. −18 1/10
2. −31 1/2
3. −31 1/10
4. -31 /12
My apologies for the confusion in the previous responses. Let's reevaluate the calculation correctly.
To find -24 4/5 - 6 7/10 using the additive inverse, we can change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
The additive inverse of -6 7/10 is +6 7/10.
Therefore, -24 4/5 - 6 7/10 becomes -24 4/5 + 6 7/10.
Next, we need to convert the mixed numbers into improper fractions:
-24 4/5 = -124/5
6 7/10 = 67/10
Now, we can add the two fractions:
-124/5 + 67/10
To add these fractions, we need to find a common denominator, which is 10:
(-124/5) * (2/2) = -248/10
67/10
Now, we can add the fractions:
-248/10 + 67/10 = -181/10
Therefore, the correct answer is -181/10, which can be simplified to -18 1/10.
So, the correct answer is:
1. −18 1/10
Determine the distance between 6.5 and −7.2 on a number line
To determine the distance between 6.5 and -7.2 on a number line, we can calculate the absolute value of the difference between the two numbers.
The absolute value of a number is its distance from zero on the number line, regardless of its sign.
The difference between 6.5 and -7.2 is:
Distance = |6.5 - (-7.2)|
= |6.5 + 7.2|
= |13.7|
= 13.7
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7 units.
Subtract −6−(−8).
To subtract −6 − (−8), we need to change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
Subtracting a negative number is the same as adding its additive inverse. So, −6 − (−8) can be rewritten as −6 + 8.
Therefore, −6 − (−8) becomes −6 + 8.
We can now add these two numbers together:
−6 + 8 = 2
So, −6 − (−8) is equal to 2.
Subtract 17− (−18).
To subtract 17 − (−18), we need to change the subtraction of a negative number into addition by changing the sign of the number being subtracted.
Subtracting a negative number is the same as adding its additive inverse. So, 17 − (−18) can be rewritten as 17 + 18.
Therefore, 17 − (−18) becomes 17 + 18.
We can now add these two numbers together:
17 + 18 = 35
So, 17 − (−18) is equal to 35.