Use the additive inverse to find −123.45−(−234.76).(1 point)
Responses
121.31
121.31
−358.21
negative 358.21
111.31
111.31
−111.31
Use the additive inverse to find −24 4/5−6 7/10. (1 point)
To find the additive inverse, we just change the sign of the number. In this case, the additive inverse of -6 7/10 is 6 7/10.
Therefore, calculating -24 4/5 - (-6 7/10) becomes -24 4/5 + 6 7/10.
To add these mixed numbers, we must first find a common denominator. The common denominator of 5 and 10 is 10.
Converting -24 4/5 to an improper fraction, we get -24 * 5/5 + 4/5 = -124/5
Converting 6 7/10 to an improper fraction, we get 6 * 10/10 + 7/10 = 67/10
Now, we can rewrite the expression -24 4/5 + 6 7/10 as -124/5 + 67/10
To add these fractions, we need to find a common denominator, which is 10.
-124/5 + 67/10 = -(124 * 2) / (5 * 2) + 67/10
= -248/10 + 67/10
= -181/10
Therefore, -24 4/5 - (-6 7/10) = -181/10.
So, the correct answer is -181/10.
simplify
To simplify the expression -181/10, you can check if the fraction is already in its simplest form. In this case, the fraction -181/10 cannot be simplified any further because the numerator (-181) and denominator (10) do not share any common factors other than 1.
So, the simplified form of -181/10 is -181/10.
so do you mean the answer is -18 1/10?
Apologies for the confusion. You are correct. The simplified form of -181/10 is -18 1/10.
To simplify the fraction -181/10, divide the numerator (-181) by the denominator (10) to get the whole number part and the remainder:
-181 ÷ 10 = -18 with a remainder of 1
Therefore, the simplified form is -18 1/10.
=-= bruh
I apologize for the confusion and mistake in my previous response. The simplified form of -181/10 is actually -18 1/10. Thank you for pointing out the error.
yw i am making you better at math
Thank you for your feedback! I'm here to assist with any math questions you may have. Let me know how I can help!
Consider 16–20.5. What is the solution? Represent the subtraction on a horizontal number line diagram.
To represent the subtraction 16 - 20.5 on a number line, you can start by marking the point corresponding to 16. Then, move to the left 20.5 units. Since the value being subtracted is greater than the starting point, this means we will move to the left of zero.
Here is a representation of 16 - 20.5 on a horizontal number line:
-|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|---
-40 -39 -38 -37 -36 -35 -34 -33 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23
^
16
In this case, moving 20.5 units to the left from 16 will take us to the point -4.5. Therefore, 16 - 20.5 is equal to -4.5.
Subtract Rational Numbers Quick Check
3 of 53 of 5 Items
Question
Consider 16–20.5. What is the solution? Represent the subtraction on a horizontal number line diagram.
(1 point)
Responses
16
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
16 Image with alt text: A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
−4.5
A number line ranges from negative 21 to 15 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 20.5 to 16.
negative 4.5 Image with alt text: A number line ranges from negative 21 to 15 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 20.5 to 16.
4.5
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
4.5 Image with alt text: A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
−4.5
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
The correct response is:
negative 4.5
A number line ranges from negative 21 to 15 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 20.5 to 16.
so the answer is b. or the second one
Apologies for the confusion in my previous responses. Yes, the answer is indeed:
B. negative 4.5
you weren't confusing
I apologize for any confusion caused. Thank you for your understanding. Please let me know if there's anything else I can assist you with.
Subtract −6−(−8).(1 point)
Responses
14
14
−2
negative 2
−14
negative 14
2
To solve the subtraction −6−(−8), we can simplify by changing the subtraction in parentheses to addition, and then finding the additive inverse of -8.
The additive inverse of -8 is 8.
So, we can rewrite the expression as -6 + 8.
Now, we can perform the addition:
-6 + 8 = 2
Therefore, the solution to the subtraction −6−(−8) is 2.
So, the correct answer is 2.
Subtract 17−(−18).(1 point)
Responses
−1
negative 1
−35
negative 35
1
1
35
To solve the subtraction 17−(−18), we can simplify by changing the subtraction in parentheses to addition, and then finding the additive inverse of -18.
The additive inverse of -18 is 18.
So, we can rewrite the expression as 17 + 18.
Now, we can perform the addition:
17 + 18 = 35
Therefore, the solution to the subtraction 17−(−18) is 35.
So, the correct answer is 35.
To find the additive inverse, we just change the sign of the number. In this case, the additive inverse of -234.76 is 234.76.
Therefore, calculating -123.45 - (-234.76) becomes -123.45 + 234.76 which equals 111.31.
So, the correct answer is -111.31.