Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
−111.31
negative 111.31
−358.21
negative 358.21
121.31
121.31
111.31
To find the result of −123.45−(−234.76), we can rewrite it as −123.45+234.76 and use the additive inverse to simplify the expression. The additive inverse of a number is the opposite of that number.
So, the additive inverse of −234.76 is 234.76 and the expression becomes −123.45+234.76.
Adding the two numbers together gives us 111.31.
Therefore, the correct answer is 111.31.
Use the additive inverse to find −2445−6710.(1 point)
Responses
3112
31 Start Fraction 1 over 2 End Fraction
−18110
negative 18 Start Fraction 1 over 10 End Fraction
−31110
negative 31 Start Fraction 1 over 10 End Fraction
−3112
To find the result of −2445−6710, we can rewrite it as −2445+(-6710) and use the additive inverse to simplify the expression. The additive inverse of a number is the opposite of that number.
So, the additive inverse of -6710 is 6710 and the expression becomes -2445 + 6710.
Adding the two numbers together gives us 4265.
Therefore, the correct answer is 4265.
Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses
31 1/2
31 Start Fraction 1 over 2 End Fraction
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
−31 1/10
negative 31 Start Fraction 1 over 10 End Fraction
−31 1/2
To find the result of −24 4/5 − 6 7/10, we can rewrite it as -24 4/5 + (-6 7/10) and use the additive inverse to simplify the expression. The additive inverse of a number is the opposite of that number.
So, the additive inverse of -6 7/10 is 6 7/10 and the expression becomes -24 4/5 + 6 7/10.
Now, let's perform the addition:
-24 4/5 + 6 7/10 = -24 + 6 + (4/5) + (7/10)
First, we add the whole numbers: -24 + 6 = -18.
Next, we add the fractions:
4/5 + 7/10 = (8/10) + (7/10) = 15/10 = 1 5/10 = 1 1/2.
Putting all of the parts together, we have -18 + 1 1/2.
To simplify further, we can combine the whole numbers and fractions:
-18 + 1 1/2 = -18 + 1 + 1/2 = -17 1/2.
Therefore, the correct answer is -17 1/2.
Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses
−0.7
negative 0.7
0.7
0.7
13.7
13.7
−13.7
negative 13.7
To determine the distance between 6.5 and −7.2 on a number line, we can subtract the two numbers and take the absolute value of the result. The absolute value of a number is its distance from 0 on the number line.
So, the difference between 6.5 and −7.2 is 6.5 - (-7.2) = 6.5 + 7.2 = 13.7.
Taking the absolute value of 13.7 gives us 13.7.
Therefore, the correct answer is 13.7.
Subtract −6−(−8).(1 point)
Responses
14
14
2
2
−2
negative 2
−14
To subtract −6−(−8), we can rewrite it as −6 + 8 and simplify the expression. The subtraction of a negative is equivalent to the addition of the positive number.
So, the expression becomes −6 + 8.
Adding the two numbers together gives us 2.
Therefore, the correct answer is 2.
Subtract 17−(−18).(1 point)
Responses
1
1
35
35
−35
negative 35
−1
negative 1
To subtract 17 - (-18), we can rewrite it as 17 + 18 and simplify the expression.
So, the expression becomes 17 + 18.
Adding the two numbers together gives us 35.
Therefore, the correct answer is 35.
Add (−22)
(
−
22
)
and (45)
(
45
)
.
To add (−22) and (45), we simply combine the two numbers:
(−22) + (45) = 23.
Therefore, the correct answer is 23.
Subtract −15−13
−
15
−
13
.
To subtract −15 and 13, we can rewrite it as −15 + (-13) and simplify the expression.
So, the expression becomes −15 + (-13).
Adding the two numbers together gives us -28.
Therefore, the correct answer is -28.
What is −99.85−16.98
−
99.85
−
16.98
?(1 point)
Responses
−116.83
negative 116.83
82.87
82.87
−82.87
negative 82.87
116.83
116.83
To subtract −99.85 and 16.98, we can rewrite it as −99.85 + (-16.98) and simplify the expression.
So, the expression becomes −99.85 + (-16.98).
Adding the two numbers together gives us -116.83.
Therefore, the correct answer is -116.83.
A city’s record high temperature is 106°F
106
°
F
and record low temperature is −17°F
−
17
°
F
. How much warmer is the city’s record high temperature than the record low temperature?(1 point)
Responses
−123°F
negative 123 degrees upper F
−89°F
negative 89 degrees upper F
89°F
89 degrees upper F
123°F
123 degrees upper F
To determine how much warmer the city's record high temperature is than the record low temperature, we subtract the record low temperature from the record high temperature.
So, to find the difference, we calculate: 106°F - (-17°F).
When we subtract a negative number, it is the same as adding the positive value of that number.
Thus, 106°F - (-17°F) becomes 106°F + 17°F.
Adding the two temperatures together gives us 123°F.
Therefore, the correct answer is 123°F.
You have a score of −500
−
500
points in a game. After three rounds of answering your questions correctly, you have a score of 2,700 points. What is the change in score?(1 point)
Responses
2,200 points
2,200 points
3,200 points
3,200 points
1,700 points
1,700 points
2,700 points
2,700 points
To find the change in score, we need to subtract the initial score from the final score.
So, the change in score is: 2,700 points - (-500 points).
When we subtract a negative number, it is the same as adding the positive value of that number.
Thus, 2,700 points - (-500 points) becomes 2,700 points + 500 points.
Adding the two scores together gives us 3,200 points.
Therefore, the correct answer is 3,200 points.