Use the additive inverse to find −492.89−(−871.78).(1 point)
To find the difference between −492.89 and −871.78, we can use the additive inverse of −871.78.
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. For any number, its additive inverse is found by changing the sign of the number.
So, the additive inverse of −871.78 would be 871.78, since -871.78 + 871.78 = 0.
Therefore, -492.89 - (-871.78) can be rewritten as -492.89 + 871.78, which is equal to 378.89.
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
20.71
20.71
−20.71
negative 20.71
−15.81
negative 15.81
15.81
To determine the distance between -18.26 and -2.45 on a number line, we can subtract the smaller number from the larger number.
-2.45 - (-18.26) = -2.45 + 18.26 = 15.81
So, the distance between -18.26 and -2.45 on a number line is 15.81.
Solve the mathematical problem involving absolute value.
2−|13⋅−9|−5(1 point)
To solve the mathematical problem involving absolute value, we need to follow the order of operations.
First, let's evaluate the expression inside the absolute value: 13 * (-9) = -117.
Next, let's take the absolute value of -117: | -117 | = 117.
Now, let's substitute the absolute value back into the original expression: 2 - 117 - 5.
Finally, let's perform the subtraction and multiplication: 2 - 117 - 5 = -120.
So, the solution to the mathematical problem 2 - |13 * -9| - 5 is -120.
Solve the mathematical problem involving absolute value.
2−|1/3*−9|−5(1 point)
To solve the mathematical problem involving absolute value, we need to follow the order of operations.
First, let's evaluate the expression inside the absolute value: 1/3 * (-9) = -3.
Next, let's take the absolute value of -3: | -3 | = 3.
Now, let's substitute the absolute value back into the original expression: 2 - 3 - 5.
Finally, let's perform the subtraction and multiplication: 2 - 3 - 5 = -6.
So, the solution to the mathematical problem 2 - |1/3 * -9| - 5 is -6.
Subtract 24−(−15).(1 point)
To subtract 24 - (-15), we can use the additive inverse of -15.
The additive inverse of a number is the number that, when added to the original number, gives a sum of zero. For any number, its additive inverse is found by changing the sign of the number.
So, the additive inverse of -15 would be 15, since -15 + 15 = 0.
Therefore, 24 - (-15) can be rewritten as 24 + 15, which is equal to 39.
Hence, the solution to 24 - (-15) is 39.
What is 17 4/9 + 5/9 − 8 − 10?(1 point)
Responses
−1
negative 1
20
20
0
0
−7