Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Add without using a number line.

a) [tex]7 + 5[/tex]

b) [tex]-9 + 7[/tex]

c) [tex]-3 + 10[/tex]

d) [tex]-8 + (-1)[/tex]

Sagot :

GinnyAnswer
### Detailed Step-by-Step Solutions

a) [tex]\(7 + 5\)[/tex]

1. Start with the first number, which is [tex]\(7\)[/tex].
2. Add the second number, which is [tex]\(5\)[/tex].
3. To add these two numbers, we simply combine them.
4. So, [tex]\(7 + 5 = 12\)[/tex].

Therefore, [tex]\(7 + 5 = 12\)[/tex].

b) [tex]\(-9 + 7\)[/tex]

1. Start with the first number, which is [tex]\(-9\)[/tex].
2. The second number to add is [tex]\(7\)[/tex].
3. When adding a positive number to a negative number, you essentially find the difference between the two numbers and take the sign of the number with the larger absolute value.
4. [tex]\(|-9| = 9\)[/tex] and [tex]\(|7| = 7\)[/tex]. Since [tex]\(9 > 7\)[/tex], the result will take the sign of [tex]\(-9\)[/tex].
5. Now, subtract the smaller absolute value from the larger absolute value: [tex]\(9 - 7 = 2\)[/tex].
6. Since [tex]\(-9\)[/tex] is the number with the larger absolute value, the result is [tex]\(-2\)[/tex].

Therefore, [tex]\(-9 + 7 = -2\)[/tex].

c) [tex]\(-3 + 10\)[/tex]

1. Start with the first number, which is [tex]\(-3\)[/tex].
2. The second number to add is [tex]\(10\)[/tex].
3. When adding a positive number to a negative number, find the difference between the two numbers and take the sign of the number with the larger absolute value.
4. [tex]\(|-3| = 3\)[/tex] and [tex]\(|10| = 10\)[/tex]. Since [tex]\(10 > 3\)[/tex], the result will take the sign of [tex]\(10\)[/tex].
5. Now, subtract the smaller absolute value from the larger absolute value: [tex]\(10 - 3 = 7\)[/tex].
6. Since [tex]\(10\)[/tex] is the number with the larger absolute value, the result is [tex]\(7\)[/tex].

Therefore, [tex]\(-3 + 10 = 7\)[/tex].

d) [tex]\(-8 + (-1)\)[/tex]

1. Start with the first number, which is [tex]\(-8\)[/tex].
2. The second number to add is [tex]\(-1\)[/tex].
3. When adding two negative numbers, you add their absolute values and retain the negative sign.
4. [tex]\(|-8| = 8\)[/tex] and [tex]\(|-1| = 1\)[/tex].
5. Add the absolute values: [tex]\(8 + 1 = 9\)[/tex].
6. Since both numbers are negative, the result is also negative.

Therefore, [tex]\(-8 + (-1) = -9\)[/tex].

In summary:
- [tex]\(7 + 5 = 12\)[/tex]
- [tex]\(-9 + 7 = -2\)[/tex]
- [tex]\(-3 + 10 = 7\)[/tex]
- [tex]\(-8 + (-1) = -9\)[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.