Let's solve each expression step by step:
1. Expression: [tex]\( -2 + (-4) \)[/tex]
- When adding two negative numbers, you add their absolute values and keep the negative sign.
- So, [tex]\( | -2 | + | -4 | = 2 + 4 = 6 \)[/tex]
- Therefore, [tex]\( -2 + (-4) = -6 \)[/tex]
2. Expression: [tex]\( -3 - (-2) \)[/tex]
- Subtracting a negative number is the same as adding the positive counterpart of that number.
- So, [tex]\( -3 - (-2) = -3 + 2 \)[/tex]
- Now, combine the numbers: [tex]\(-3 + 2 = -1\)[/tex]
- Therefore, [tex]\( -3 - (-2) = -1 \)[/tex]
3. Expression: [tex]\( 5 + 9 \)[/tex]
- Just add the two numbers directly.
- So, [tex]\( 5 + 9 = 14 \)[/tex]
- Therefore, [tex]\( 5 + 9 = 14 \)[/tex]
4. Expression: [tex]\( 4 - 10 \)[/tex]
- When subtracting a larger number from a smaller number, the result will be negative.
- So, [tex]\( 4 - 10 = -6 \)[/tex]
- Therefore, [tex]\( 4 - 10 = -6 \)[/tex]
In summary:
1. [tex]\( -2 + (-4) = -6 \)[/tex]
2. [tex]\( -3 - (-2) = -1 \)[/tex]
3. [tex]\( 5 + 9 = 14 \)[/tex]
4. [tex]\( 4 - 10 = -6 \)[/tex]
