📚 Topic Summary
Dividing a 3-digit number by a 2-digit number using the standard algorithm involves breaking down the problem into smaller, manageable steps. First, determine if the 2-digit divisor can go into the first one or two digits of the 3-digit dividend. If not, consider all three digits. Next, estimate how many times the divisor goes into that portion of the dividend. Multiply the divisor by your estimate, and subtract the result from the corresponding digits of the dividend. Bring down the next digit, and repeat the process until you have a remainder (or no remainder!).
The key is to be organized and accurate with your multiplication and subtraction. Remember to align your digits properly to avoid mistakes. Keep practicing, and you'll become a pro at long division in no time!
🔤 Part A: Vocabulary
Match each term with its correct definition:
- Dividend
- Divisor
- Quotient
- Remainder
- Algorithm
- The number that is being divided.
- A step-by-step procedure for solving a problem.
- The number left over after division.
- The result of the division.
- The number by which another number is divided.
| Term |
Definition |
| Dividend |
1 |
| Divisor |
5 |
| Quotient |
4 |
| Remainder |
3 |
| Algorithm |
2 |
✍️ Part B: Fill in the Blanks
Complete the paragraph using the words: divisor, dividend, quotient, remainder, estimate.
When dividing, the number being divided is called the _____. The number you are dividing by is the _____. The answer to the division problem is the _____. Sometimes, you will have an amount left over, called the _____. It's helpful to _____ before you divide.
Answer: When dividing, the number being divided is called the dividend. The number you are dividing by is the divisor. The answer to the division problem is the quotient. Sometimes, you will have an amount left over, called the remainder. It's helpful to estimate before you divide.
🤔 Part C: Critical Thinking
Explain in your own words why estimating the quotient is a helpful step when dividing multi-digit numbers.