➗ Topic Summary
3-Digit by 1-Digit Division with Remainders involves dividing a 3-digit number by a 1-digit number, where the result may not be a whole number. The 'remainder' is the amount left over after the division. Understanding place value (hundreds, tens, ones) is crucial for this operation. We use long division to solve these problems, carefully dividing each digit and noting any remainders along the way.
For example, to divide 457 by 3, we would first divide 4 (hundreds) by 3, resulting in 1 (hundred). We then multiply 1 by 3, giving 3, and subtract this from 4, leaving 1. This 1 (hundred) is carried over to the tens place, making 15 (tens). We divide 15 by 3, resulting in 5 (tens). Finally, we divide 7 (ones) by 3, resulting in 2 (ones) with a remainder of 1. Therefore, $457 \div 3 = 152$ with a remainder of 1.
🧮 Part A: Vocabulary
Match the following terms with their definitions:
- Term: Dividend
- Term: Divisor
- Term: Quotient
- Term: Remainder
- Term: Long Division
- Definition: The result of the division.
- Definition: The number being divided.
- Definition: A structured method for dividing larger numbers.
- Definition: The number by which another number is divided.
- Definition: The amount left over after division when one number does not divide evenly into another.
(Match the terms to their correct definitions.)
✍️ Part B: Fill in the Blanks
When performing 3-digit by 1-digit division with remainders, the number being divided is called the _______. The number you are dividing by is the _______. The answer to the division problem is the _______. If the divisor does not divide evenly into the dividend, there will be a _______. The process of breaking down the division into smaller steps is called _______.
🤔 Part C: Critical Thinking
Explain in your own words why understanding remainders is important in real-life situations. Provide an example.