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
−31 1/10
negative 31 Start Fraction 1 over 10 End Fraction
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
−31 1/2
To find the additive inverse of a number, we change the sign of the number. So, the additive inverse of -24 4/5 is 24 4/5.
Now, we can subtract 6 7/10 from the additive inverse:
24 4/5 - 6 7/10
First, we need to find a common denominator for 5 and 10, which is 10.
Converting 24 4/5 to an improper fraction:
24 * 5 = 120
120 + 4 = 124
124/5
Converting 6 7/10 to an improper fraction:
6 * 10 = 60
60 + 7 = 67
67/10
Now, we can subtract the fractions:
124/5 - 67/10
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 10.
Converting 124/5 to have a denominator of 10:
124 * 2 = 248
248/10
Now, we can subtract the fractions:
248/10 - 67/10
Subtracting the numerators:
(248 - 67) / 10 = 181/10
Converting the fraction to a mixed number:
181 / 10 = 18 1/10
Since we found the additive inverse of -24 4/5 before, we need to change the sign back to negative:
- (18 1/10) = -18 1/10
So, the answer is -18 1/10.
Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses
13.7
13.7
0.7
0.7
−0.7
negative 0.7
−13.7
To find the distance between two points on a number line, we subtract the smaller number from the larger number and take the absolute value of the result. In this case, we are finding the distance between 6.5 and -7.2.
|-7.2 - 6.5| = |-13.7| = 13.7
So, the distance between 6.5 and -7.2 on a number line is 13.7.
Subtract −6−(−8).(1 point)
Responses
−2
negative 2
14
14
−14
negative 14
2
To subtract two negative numbers, we can change the expression to addition and change the second negative number to its additive inverse.
−6−(−8) is the same as −6 + 8.
Now, we can subtract:
-6 + 8 = 2
So, the result of −6−(−8) is 2.
Subtract 17−(−18).(1 point)
Responses
1
1
35
35
−35
negative 35
−1
negative 1
To subtract two negative numbers, we can change the expression to addition and change the second negative number to its additive inverse.
17−(−18) is the same as 17 + 18.
Now, we can add:
17 + 18 = 35
So, the result of 17−(−18) is 35.