Sure, let's solve each arithmetic operation step-by-step:
### Step 1: Calculate [tex]\( 436 + 27 \)[/tex]
1. Start by adding the units place: [tex]\( 6 + 7 = 13 \)[/tex]. Write down 3 and carry over 1.
2. Next, add the tens place along with the carry-over: [tex]\( 3 + 2 + 1 = 6 \)[/tex]. Write down 6.
3. Finally, add the hundreds place: [tex]\( 4 + 0 = 4 \)[/tex]. Write down 4.
Combining these results, we get:
[tex]\[ 436 + 27 = 463 \][/tex]
### Step 2: Calculate [tex]\( -17 + (-25) \)[/tex]
1. Adding two negative numbers involves summing their absolute values and giving the result a negative sign.
2. The absolute values are 17 and 25. Summing these gives:
[tex]\[ 17 + 25 = 42 \][/tex]
3. Giving this result a negative sign:
[tex]\[ -17 + (-25) = -42 \][/tex]
### Step 3: Calculate [tex]\( -25 + 29 \)[/tex]
1. Here we have one negative and one positive number. Subtract the smaller absolute value from the larger absolute value.
2. The absolute values are 25 and 29. Subtracting these gives:
[tex]\[ 29 - 25 = 4 \][/tex]
3. The positive number (29) is greater than the negative number (25), so the result is positive:
[tex]\[ -25 + 29 = 4 \][/tex]
### Summary of Results:
- [tex]\( 436 + 27 = 463 \)[/tex]
- [tex]\( -17 + (-25) = -42 \)[/tex]
- [tex]\( -25 + 29 = 4 \)[/tex]
