Use the additive inverse to find −24 4/5−6 7/10

5 answers

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.