๐ Topic Summary
Long division is a way to break down larger division problems into smaller, easier-to-manage steps. It helps us find out how many times one number (the divisor) goes into another number (the dividend), and what's left over (the remainder). Think of it like sharing a bag of candies equally among friends โ long division helps you figure out exactly how many candies each friend gets and if there are any left!
For 4th grade, long division usually involves dividing numbers up to four digits by one-digit or two-digit numbers. It's all about understanding place value and following a set of steps: Divide, Multiply, Subtract, Bring Down. Remember, practice makes perfect! ๐
๐ง Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Divisor |
A. The amount left over after dividing. |
| 2. Dividend |
B. The number that is being divided. |
| 3. Quotient |
C. The number by which another number is divided. |
| 4. Remainder |
D. The answer to a division problem. |
| 5. Long Division |
E. A standard method for dividing larger multi-digit numbers |
Match the correct term to its definition:
- ๐งฎ 1. Divisor = C
- โ 2. Dividend = B
- โ 3. Quotient = D
- โ 4. Remainder = A
- โ 5. Long Division = E
โ๏ธ Part B: Fill in the Blanks
Complete the paragraph using the words: quotient, dividend, divisor, remainder, divide.
In long division, we $__________$ the $__________$ by the $__________$. The answer we get is called the $__________$. Sometimes, there is an amount left over, which we call the $__________$.
- โ Divide
- โ Dividend
- โ Divisor
- โ Quotient
- โ Remainder
๐ค Part C: Critical Thinking
Explain in your own words why understanding place value is important when solving long division problems. Give an example to support your explanation.
Example Answer:
Understanding place value is crucial in long division because it helps us keep track of which digits we're working with and what their actual values are. For example, in the number 345, the '3' represents 300, the '4' represents 40, and the '5' represents 5. When dividing, we need to know these values to properly divide each part of the dividend.