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