Borrowing, in mathematics, refers to the process of taking away a certain number of objects from one group and transferring them to another group. It is a fundamental concept in arithmetic and is used in both basic and advanced math problems.
Definitions:
Minuend, subtrahend, difference, regrouping, and borrowing are all concepts related to subtraction in mathematics.
The minuend is the number from which another number (the subtrahend) is subtracted. For example, in the subtraction problem “7 – 3 = 4,” 7 is the minuend and 3 is the subtrahend.
The difference is the result of a subtraction problem. In the example above, 4 is the difference.
Regrouping, also known as borrowing, is a technique used in subtraction when the subtrahend is larger than the minuend in a given place value. For example, in the problem “7 – 13,” you can regroup or borrow 1 ten from the tens place to make the problem “17 – 13 = 4.”
Borrowing is a similar concept, often used in subtraction when working with larger numbers. It involves borrowing a number from a higher place value in order to subtract numbers in a lower place value. For example, in the problem “72 – 38,” you can borrow 1 from the tens place to make the problem “82 – 38 = 44.”
In summary, minuend and subtrahend are the two numbers used in a subtraction problem, the difference is the result of the subtraction and regrouping or borrowing is a technique used to solve subtraction problems when the subtrahend is larger than the minuend in a given place value.
Examples:
- Subtracting 9 from 17: Minuend: 17 Subtrahend: 9 Difference: 8
- Subtracting 7 from 12: Minuend: 12 Subtrahend: 7 Difference: 5
- Subtracting 99 from 100: Minuend: 100 Subtrahend: 99 Difference: 1
- Subtracting 100 from 200: Minuend: 200 Subtrahend: 100 Difference: 100
- Subtracting 999 from 1000: Minuend: 1000 Subtrahend: 999 Difference: 1
Quiz:
- What is the process of taking away one or more units from a group of a higher place value in order to add to a group of a lower place value called?
- What is the result obtained when the subtrahend is subtracted from the minuend called?
- When subtracting 99 from 100, what is the difference?
- When subtracting 999 from 1000, what is the difference?
- What is the process of rearranging numbers in different groups in order to perform subtraction or addition more easily called?
- When subtracting 12 from 20, what is the difference?
- When subtracting 100 from 200, what is the difference?
- When subtracting 7 from 12, what is the difference?
- What is the number from which another number (the subtrahend) is to be subtracted called?
- What is the number that is to be subtracted from the minuend called?
Answers
- Borrowing
- Difference
- 1
- 1
- Regrouping
- 8
- 100
- 5
- Minuend
- Subtrahend
In summary, borrowing is a process of taking away a certain number of objects from one group and transferring them to another group. It is a fundamental concept in arithmetic and is used in both basic and advanced math problems. Understanding the definitions, examples and practicing through quizzes can help students to grasp the concept better.
