1. Problem: Perform long division of 1548 by 12.
2. Formula: Division is splitting a number into equal parts. Here, $1548 \div 12$.
3. Step-by-step:
- Divide 15 by 12, quotient 1, remainder 3.
- Bring down 4, now 34.
- Divide 34 by 12, quotient 2, remainder 10.
- Bring down 8, now 108.
- Divide 108 by 12, quotient 9, remainder 0.
4. Final answer: $1548 \div 12 = 129$.
1. Problem: Add 4567 and 2389 using column method.
2. Formula: Addition sums digits column-wise.
3. Step-by-step:
- Units: $7 + 9 = 16$, write 6 carry 1.
- Tens: $6 + 8 + 1 = 15$, write 5 carry 1.
- Hundreds: $5 + 3 + 1 = 9$, write 9.
- Thousands: $4 + 2 = 6$, write 6.
4. Final answer: $4567 + 2389 = 6956$.
1. Problem: Subtract 3725 from 5843 using column method.
2. Formula: Subtraction subtracts digits column-wise.
3. Step-by-step:
- Units: $3 - 5$ not possible, borrow 1 from tens.
- Tens: $4 - 2 - 1 (borrowed) = 1$.
- Units after borrow: $13 - 5 = 8$.
- Hundreds: $8 - 7 = 1$.
- Thousands: $5 - 3 = 2$.
4. Final answer: $5843 - 3725 = 2118$.
1. Problem: Multiply 234 by 56 using column method.
2. Formula: Multiply each digit and add results.
3. Step-by-step:
- Multiply 234 by 6:
$6 \times 4 = 24$, write 4 carry 2.
$6 \times 3 = 18 + 2 = 20$, write 0 carry 2.
$6 \times 2 = 12 + 2 = 14$, write 14.
- Multiply 234 by 5 (which is actually 50):
$5 \times 4 = 20$, write 0 carry 2.
$5 \times 3 = 15 + 2 = 17$, write 7 carry 1.
$5 \times 2 = 10 + 1 = 11$, write 11.
- Add partial products:
$1404 + 11700 = 13104$.
4. Final answer: $234 \times 56 = 13104$.
Basic Arithmetic 15876C
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