Use the additive inverse to find −24 4/5−6 7/10
To find the additive inverse of a number, we need to change its sign.
So, the additive inverse of −24 4/5 is 24 4/5.
Similarly, the additive inverse of −6 7/10 is 6 7/10.
Adding these two additive inverses together, we get 24 4/5 + 6 7/10.
First, we add the fractional parts: 4/5 + 7/10.
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 10 is 10.
Converting 4/5 to have a denominator of 10, we get 8/10. So, we can add 8/10 + 7/10, which equals 15/10.
Next, we add the whole numbers: 24 + 6 = 30.
Putting it all together, 24 4/5 + 6 7/10 = 30 + 15/10.
To simplify the mixed number, we convert the improper fraction 15/10 to a mixed number. The whole part will be 1 (since 15 divided by 10 is 1 remainder 5), and the fractional part will be 5/10, which simplifies to 1/2.
Therefore, 30 + 15/10 = 30 1/2.
Use the additive inverse to find −2445−6710.(1 point)
−31 1/2
−18 1/10
31 1/2
−31 1/10
To find the additive inverse of a number, we need to change its sign.
So, the additive inverse of -2445 is 2445.
Similarly, the additive inverse of -6710 is 6710.
Adding these two additive inverses together, we get 2445 + 6710.
Combining the numbers, 2445 + 6710 equals 9155.
However, since the original numbers were negative, the sum will also be negative.
Therefore, -2445 -6710 = -9155.
So, the correct answer is -9155.
Use the additive inverse to find −24 4/5 − 6 7/10
−31 1/2
−18 1/10
31 1/2
−31 1/10
To find the additive inverse of a number, we change its sign.
So the additive inverse of -24 4/5 is 24 4/5.
Similarly, the additive inverse of -6 7/10 is 6 7/10.
Adding these two additive inverses together, we get 24 4/5 + 6 7/10.
First, we add the fractional parts: 4/5 + 7/10.
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 10 is 10.
Converting 4/5 to have a denominator of 10, we get 8/10. So, we can add 8/10 + 7/10, which equals 15/10.
Next, we add the whole numbers: 24 + 6 = 30.
Putting it all together, 24 4/5 + 6 7/10 = 30 + 15/10.
To simplify the mixed number, we convert the improper fraction 15/10 to a mixed number. The whole part will be 1 (since 15 divided by 10 is 1 remainder 5), and the fractional part will be 5/10, which simplifies to 1/2.
Therefore, 30 + 15/10 = 30 1/2.
However, since the original numbers were negative, the sum will also be negative.
So the correct answer is -30 1/2.
Therefore, the correct option is -31 1/2.
To find the sum of -24 4/5 and -6 7/10 using the additive inverse, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-24 4/5 can be written as -24 4/5 = -24 + 4/5 = -24 * 5/5 + 4/5 = -120/5 + 4/5 = -116/5
-6 7/10 can be written as -6 7/10 = -6 + 7/10 = -6 * 10/10 + 7/10 = -60/10 + 7/10 = -53/10
Step 2: Add the two fractions.
-116/5 + -53/10 = (-116 * 2)/10 + (-53)/10 = -232/10 - 53/10 = -285/10
Step 3: Simplify the fraction (if possible) and convert it back to a mixed number.
-285/10 simplified is -28 5/10 = -28 1/2
So, -24 4/5 - 6 7/10 = -28 1/2.
To find the difference between two numbers using the additive inverse, we need to change the signs of one of the numbers and then add them together.
First, let's convert the mixed numbers into improper fractions:
-24 4/5 = -24 + 4/5 = -24 * 5/5 + 4/5 = -120/5 + 4/5 = -116/5
-6 7/10 = -6 + 7/10 = -6 * 10/10 + 7/10 = -60/10 + 7/10 = -53/10
Now, change the sign of the second number:
Additive Inverse of -53/10 = 53/10 (Change the sign)
Now, let's add the two fractions:
-116/5 + 53/10
To add fractions, they must have a common denominator. In this case, we can convert the fractions to have a common denominator of 10.
Multiply the numerator and denominator of -116/5 by 2 to get -232/10:
-232/10 + 53/10 = (-232 + 53)/10 = -179/10
Finally, convert the improper fraction back to a mixed number:
-179/10 = -17 9/10
So, the answer to -24 4/5 - 6 7/10 using the additive inverse is -17 9/10.