Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
111.31
111.31
−358.21
negative 358.21
121.31
121.31
−111.31
The additive inverse of −234.76 is 234.76. Therefore, −123.45−(−234.76) can be rewritten as −123.45 + 234.76.
Using the rules of addition, we can add these two numbers together:
−123.45 + 234.76 = 111.31
Therefore, the 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
−31110
negative 31 Start Fraction 1 over 10 End Fraction
3112
31 Start Fraction 1 over 2 End Fraction
−3112
The additive inverse of -6710 is 6710. Therefore, -2445 - (-6710) can be rewritten as -2445 + 6710.
Using the rules of addition, we can add these two numbers together:
-2445 + 6710 = 4265
Therefore, the answer is 4265.
Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses
13.7
13.7
−13.7
negative 13.7
−0.7
negative 0.7
0.7
To determine the distance between two numbers on a number line, we can subtract the smaller number from the larger number and take the absolute value of the result.
In this case, we have 6.5 and -7.2. The larger number is 6.5 and the smaller number is -7.2.
So, the distance between them is:
| 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.
Solve the mathematical problem involving absolute value.
21÷3+4+|2−3|
(1 point)
Responses
12
12
4
4
10
10
6
To solve this problem, we first need to evaluate the absolute value expression |2−3|.
The expression inside the absolute value bars is 2−3, which equals -1. Taking the absolute value of -1 gives us |-1|, which is equal to 1.
Now we can substitute this value back into the original expression:
21 ÷ 3 + 4 + 1
Next, we can simplify the expression using the order of operations (PEMDAS/BODMAS). First, we divide:
21 ÷ 3 = 7
Now we can add the remaining numbers:
7 + 4 + 1 = 12
Therefore, the value of the expression 21÷3+4+|2−3| is 12.
Solve the mathematical problem involving absolute value.
|(12)(−8)|+|10−4|
(1 point)
Responses
−2
negative 2
−10
negative 10
2
2
10
To solve this problem, we start by evaluating the expressions inside the absolute value bars.
Starting with |(12)(-8)|:
(12)(-8) = -96
The absolute value of -96 is |-96|, which is equal to 96.
Moving on to |10 - 4|:
10 - 4 = 6
The absolute value of 6 is |6|, which is equal to 6.
Substituting these values back into the original expression:
|(12)(-8)| + |10 - 4| = 96 + 6 = 102
Therefore, the value of the expression |(12)(-8)| + |10 - 4| is 102.