Use The Tool To Divide $1,466 \div 5$.A. 29 R1 B. 293 R1 C. 294 D. 2,932 Click Or Use The Arrow Keys To Select A Box In The Grid. Then, Type A Number In That Box.- □ \square □
Introduction
In mathematics, division is a fundamental operation that involves sharing a certain number of items into equal groups or finding how many times one number fits into another. When dividing whole numbers, we are essentially finding the quotient and remainder when one number is divided by another. In this article, we will explore the concept of dividing whole numbers, focusing on the tool used to divide $1,466 \div 5$.
Understanding Whole Number Division
Whole number division involves dividing a whole number by another whole number. The result of this operation is a quotient and a remainder. The quotient is the result of the division, while the remainder is the amount left over after the division. For example, when dividing 17 by 5, the quotient is 3 and the remainder is 2.
Using the Tool to Divide
To divide $1,466 \div 5$, we can use a simple division tool. The tool involves dividing the dividend (1,466) by the divisor (5). To do this, we can follow these steps:
- Write the dividend and divisor: Write the dividend (1,466) and the divisor (5) in the correct positions.
- Divide the dividend by the divisor: Divide the dividend by the divisor to find the quotient.
- Find the remainder: Find the remainder by subtracting the product of the quotient and the divisor from the dividend.
Step-by-Step Solution
To divide $1,466 \div 5$, we can follow these steps:
-
Write the dividend and divisor: Write the dividend (1,466) and the divisor (5) in the correct positions.
1,466 ÷ 5 -
Divide the dividend by the divisor: Divide the dividend by the divisor to find the quotient.
1,466 ÷ 5 = 293 -
Find the remainder: Find the remainder by subtracting the product of the quotient and the divisor from the dividend.
1,466 - (293 × 5) = 1,466 - 1,465 = 1 -
Write the final answer: Write the final answer, which is the quotient and the remainder.
293 R1
Conclusion
In conclusion, dividing whole numbers involves using a simple division tool to find the quotient and remainder. By following the steps outlined above, we can divide $1,466 \div 5$ and find the correct answer. The correct answer is 293 R1.
Common Mistakes to Avoid
When dividing whole numbers, there are several common mistakes to avoid. These include:
- Not following the order of operations: When dividing whole numbers, it is essential to follow the order of operations (PEMDAS).
- Not using the correct division tool: Using the correct division tool is essential to find the correct answer.
- Not checking the remainder: Failing to check the remainder can lead to incorrect answers.
Real-World Applications
Dividing whole numbers has several real-world applications. These include:
- Shopping: When shopping, dividing whole numbers can help us find the total cost of items.
- Cooking: When cooking, dividing whole numbers can help us find the correct amount of ingredients.
- Science: In science, dividing whole numbers can help us find the correct amount of materials.
Practice Problems
To practice dividing whole numbers, try the following problems:
Answer Key
The answer key for the practice problems is as follows:
Conclusion
Introduction
In our previous article, we explored the concept of dividing whole numbers and how to use a simple division tool to find the quotient and remainder. In this article, we will answer some frequently asked questions about dividing whole numbers.
Q&A
Q: What is the difference between dividing whole numbers and dividing fractions?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing fractions involves dividing one fraction by another fraction.
Q: How do I divide a whole number by a decimal?
A: To divide a whole number by a decimal, you can convert the decimal to a fraction and then divide the whole number by the fraction.
Q: What is the remainder in division?
A: The remainder in division is the amount left over after the division. It is the amount that cannot be divided evenly.
Q: How do I find the remainder in division?
A: To find the remainder in division, you can subtract the product of the quotient and the divisor from the dividend.
Q: What is the quotient in division?
A: The quotient in division is the result of the division. It is the amount that can be divided evenly.
Q: How do I find the quotient in division?
A: To find the quotient in division, you can divide the dividend by the divisor.
Q: What is the difference between dividing whole numbers and multiplying whole numbers?
A: Dividing whole numbers involves finding the quotient and remainder, while multiplying whole numbers involves finding the product.
Q: How do I divide a whole number by a negative number?
A: To divide a whole number by a negative number, you can change the sign of the divisor and then divide the whole number by the new divisor.
Q: What is the rule for dividing zero by a whole number?
A: The rule for dividing zero by a whole number is that the result is always zero.
Q: How do I divide a whole number by a fraction?
A: To divide a whole number by a fraction, you can convert the fraction to a decimal and then divide the whole number by the decimal.
Q: What is the difference between dividing whole numbers and dividing decimals?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing decimals involves dividing one decimal by another decimal.
Q: How do I divide a decimal by a whole number?
A: To divide a decimal by a whole number, you can convert the decimal to a fraction and then divide the fraction by the whole number.
Q: What is the rule for dividing a negative number by a whole number?
A: The rule for dividing a negative number by a whole number is that the result is always negative.
Q: How do I divide a whole number by a negative fraction?
A: To divide a whole number by a negative fraction, you can change the sign of the fraction and then divide the whole number by the new fraction.
Q: What is the difference between dividing whole numbers and dividing mixed numbers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing mixed numbers involves dividing one mixed number by another mixed number.
Q: How do I divide a mixed number by a whole number?
A: To divide a mixed number by a whole number, you can convert the mixed number to an improper fraction and then divide the improper fraction by the whole number.
Q: What is the rule for dividing a whole number by a zero?
A: The rule for dividing a whole number by a zero is that the result is always undefined.
Q: How do I divide a whole number by a negative decimal?
A: To divide a whole number by a negative decimal, you can change the sign of the decimal and then divide the whole number by the new decimal.
Q: What is the difference between dividing whole numbers and dividing integers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing integers involves dividing one integer by another integer.
Q: How do I divide an integer by a whole number?
A: To divide an integer by a whole number, you can convert the integer to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative integer?
A: The rule for dividing a whole number by a negative integer is that the result is always negative.
Q: How do I divide a whole number by a negative mixed number?
A: To divide a whole number by a negative mixed number, you can change the sign of the mixed number and then divide the whole number by the new mixed number.
Q: What is the difference between dividing whole numbers and dividing rational numbers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing rational numbers involves dividing one rational number by another rational number.
Q: How do I divide a rational number by a whole number?
A: To divide a rational number by a whole number, you can convert the rational number to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative rational number?
A: The rule for dividing a whole number by a negative rational number is that the result is always negative.
Q: How do I divide a whole number by a negative decimal?
A: To divide a whole number by a negative decimal, you can change the sign of the decimal and then divide the whole number by the new decimal.
Q: What is the difference between dividing whole numbers and dividing real numbers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing real numbers involves dividing one real number by another real number.
Q: How do I divide a real number by a whole number?
A: To divide a real number by a whole number, you can convert the real number to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative real number?
A: The rule for dividing a whole number by a negative real number is that the result is always negative.
Q: How do I divide a whole number by a negative mixed number?
A: To divide a whole number by a negative mixed number, you can change the sign of the mixed number and then divide the whole number by the new mixed number.
Q: What is the difference between dividing whole numbers and dividing complex numbers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing complex numbers involves dividing one complex number by another complex number.
Q: How do I divide a complex number by a whole number?
A: To divide a complex number by a whole number, you can convert the complex number to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative complex number?
A: The rule for dividing a whole number by a negative complex number is that the result is always negative.
Q: How do I divide a whole number by a negative decimal?
A: To divide a whole number by a negative decimal, you can change the sign of the decimal and then divide the whole number by the new decimal.
Q: What is the difference between dividing whole numbers and dividing imaginary numbers?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing imaginary numbers involves dividing one imaginary number by another imaginary number.
Q: How do I divide an imaginary number by a whole number?
A: To divide an imaginary number by a whole number, you can convert the imaginary number to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative imaginary number?
A: The rule for dividing a whole number by a negative imaginary number is that the result is always negative.
Q: How do I divide a whole number by a negative mixed number?
A: To divide a whole number by a negative mixed number, you can change the sign of the mixed number and then divide the whole number by the new mixed number.
Q: What is the difference between dividing whole numbers and dividing algebraic expressions?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing algebraic expressions involves dividing one algebraic expression by another algebraic expression.
Q: How do I divide an algebraic expression by a whole number?
A: To divide an algebraic expression by a whole number, you can convert the algebraic expression to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative algebraic expression?
A: The rule for dividing a whole number by a negative algebraic expression is that the result is always negative.
Q: How do I divide a whole number by a negative decimal?
A: To divide a whole number by a negative decimal, you can change the sign of the decimal and then divide the whole number by the new decimal.
Q: What is the difference between dividing whole numbers and dividing polynomials?
A: Dividing whole numbers involves dividing one whole number by another whole number, while dividing polynomials involves dividing one polynomial by another polynomial.
Q: How do I divide a polynomial by a whole number?
A: To divide a polynomial by a whole number, you can convert the polynomial to a decimal and then divide the decimal by the whole number.
Q: What is the rule for dividing a whole number by a negative polynomial?
A: The rule for dividing a whole number by a negative polynomial is that the result is always negative.
Q: How do I divide a whole number by a negative mixed number?
A: To divide a whole number by a negative mixed number, you can change the sign of the mixed number and then divide the whole number by the new mixed number.