Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
111.31
111.31
121.31
121.31
−358.21
negative 358.21
−111.31
To find the value of −123.45 − (−234.76), we can use the additive inverse of -234.76, which is 234.76.
Therefore, −123.45 - (−234.76) can be rewritten as −123.45 + 234.76.
Adding these two values together, we get 111.31.
So, the correct answer is 111.31.
Use the additive inverse to find −2445−6710.(1 point)
Responses
−18110
negative 18 Start Fraction 1 over 10 End Fraction
3112
31 Start Fraction 1 over 2 End Fraction
−3112
negative 31 Start Fraction 1 over 2 End Fraction
−31110
To find the value of −2445 − 6710, we can use the additive inverse of 6710, which is -6710.
Therefore, −2445 - 6710 can be rewritten as −2445 + (-6710).
Adding these two values together, we get -9155.
So, the correct answer is -9155.
Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
31 1/2
31 Start Fraction 1 over 2 End Fraction
−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
−31 1/10
To find the value of −24 4/5 − 6 7/10, we can use the additive inverse of 6 7/10, which is -6 7/10.
Therefore, −24 4/5 - 6 7/10 can be rewritten as −24 4/5 + (-6 7/10).
Next, we need to convert the mixed numbers to improper fractions.
-24 4/5 = -(24*5 + 4)/5 = -(124/5)
-6 7/10 = -(6*10 + 7)/10 = -(67/10)
Now, we can add the fractions together:
-(124/5) + (-(67/10)) = -((124/5) + (67/10))
We need a common denominator, which is 10:
-((124/5) + (67/10)) = -((124/5)*(2/2) + (67/10)*(1/1))
-((124/5)*(2/2) + (67/10)*(1/1)) = -((248/10) + (67/10))
Now, we can add the fractions with the same denominator:
-((248/10) + (67/10)) = -((248 + 67)/10)
-(248 + 67)/10 = -315/10
Finally, we can simplify the fraction:
-315/10 = -(31 5/10) = -(31 1/2)
So, the correct answer is -31 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
To determine the distance between 6.5 and -7.2 on a number line, we subtract the two values:
Distance = |6.5 - (-7.2)|
Simplifying inside the absolute value:
Distance = |6.5 + 7.2|
Adding the values:
Distance = |13.7|
The absolute value of 13.7 is 13.7.
Therefore, the distance between 6.5 and -7.2 on a number line is 13.7.
So, the correct answer is 13.7.
Solve the mathematical problem involving absolute value.
21÷3+4+|2−3|
(1 point)
Responses
10
10
6
6
12
12
4
To solve the mathematical problem 21 ÷ 3 + 4 + |2 - 3|, we follow the order of operations:
First, we evaluate the absolute value |2 - 3|, which is equal to 1.
Then, we divide 21 by 3, which gives us 7.
Next, we add 7, 4, and 1 together, which gives us 12.
So, the correct answer is 12.
Solve the mathematical problem involving absolute value.
|(12)(−8)|+|10−4|
(1 point)
Responses
10
10
2
2
−2
negative 2
−10