1. Simplify. A) $698 \times 32$ B) $984 \div 24$2. Is It Possible For An Integer To Be Neither Positive Nor Negative? If So, Write Down That Integer.3. Write These Integers In Descending Order: $498, 112, -31, 527, 489, -39,

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Simplifying Multiplication and Division of Large Numbers

When dealing with large numbers, simplifying multiplication and division can make the process much easier and faster. In this section, we will simplify two expressions: 698×32698 \times 32 and 984÷24984 \div 24.

Simplifying Multiplication

To simplify the multiplication of 698×32698 \times 32, we can break it down into smaller parts. We can start by finding the product of 698698 and 3030, and then multiply the result by 3232.

# Simplifying multiplication
num1 = 698
num2 = 30
result1 = num1 * num2
print(result1)

num3 = 32
result2 = result1 * num3
print(result2)

By breaking down the multiplication into smaller parts, we can simplify the process and make it easier to calculate.

Simplifying Division

To simplify the division of 984÷24984 \div 24, we can use the concept of prime factorization. We can break down 984984 and 2424 into their prime factors and then simplify the division.

# Simplifying division
num4 = 984
num5 = 24
result3 = num4 // num5
print(result3)

By using prime factorization, we can simplify the division and make it easier to calculate.

Is it possible for an integer to be neither positive nor negative?

In mathematics, an integer is a whole number that can be either positive, negative, or zero. However, the question asks if it is possible for an integer to be neither positive nor negative. In other words, is there an integer that is not positive and not negative?

The answer is yes. An integer can be zero, which is neither positive nor negative.

Writing Integers in Descending Order

In this section, we will write the given integers in descending order: 498,112,−31,527,489,−39498, 112, -31, 527, 489, -39.

To write the integers in descending order, we need to compare each integer with the others and arrange them in order from largest to smallest.

# Writing integers in descending order
integers = [498, 112, -31, 527, 489, -39]
integers.sort(reverse=True)
print(integers)

By sorting the integers in descending order, we can arrange them in the correct order.

Conclusion

In this article, we simplified the multiplication and division of large numbers, and we also discussed whether it is possible for an integer to be neither positive nor negative. We also wrote the given integers in descending order. By using mathematical concepts and techniques, we can simplify complex calculations and make them easier to understand.

Final Answer

The final answer to the problem is:

  • Simplified multiplication: 698×32=22336698 \times 32 = 22336
  • Simplified division: 984÷24=41984 \div 24 = 41
  • Integer that is neither positive nor negative: 00
  • Integers in descending order: [527,498,489,112,−31,−39][527, 498, 489, 112, -31, -39]

Simplifying Multiplication and Division of Large Numbers

When dealing with large numbers, simplifying multiplication and division can make the process much easier and faster. In this section, we will simplify two expressions: 698×32698 \times 32 and 984÷24984 \div 24.

Simplifying Multiplication

To simplify the multiplication of 698×32698 \times 32, we can break it down into smaller parts. We can start by finding the product of 698698 and 3030, and then multiply the result by 3232.

# Simplifying multiplication
num1 = 698
num2 = 30
result1 = num1 * num2
print(result1)

num3 = 32
result2 = result1 * num3
print(result2)

By breaking down the multiplication into smaller parts, we can simplify the process and make it easier to calculate.

Simplifying Division

To simplify the division of 984÷24984 \div 24, we can use the concept of prime factorization. We can break down 984984 and 2424 into their prime factors and then simplify the division.

# Simplifying division
num4 = 984
num5 = 24
result3 = num4 // num5
print(result3)

By using prime factorization, we can simplify the division and make it easier to calculate.

Is it possible for an integer to be neither positive nor negative?

In mathematics, an integer is a whole number that can be either positive, negative, or zero. However, the question asks if it is possible for an integer to be neither positive nor negative. In other words, is there an integer that is not positive and not negative?

The answer is yes. An integer can be zero, which is neither positive nor negative.

Writing Integers in Descending Order

In this section, we will write the given integers in descending order: 498,112,−31,527,489,−39498, 112, -31, 527, 489, -39.

To write the integers in descending order, we need to compare each integer with the others and arrange them in order from largest to smallest.

# Writing integers in descending order
integers = [498, 112, -31, 527, 489, -39]
integers.sort(reverse=True)
print(integers)

By sorting the integers in descending order, we can arrange them in the correct order.

Q&A

Q: What is the simplified multiplication of 698×32698 \times 32?

A: The simplified multiplication of 698×32698 \times 32 is 2233622336.

Q: What is the simplified division of 984÷24984 \div 24?

A: The simplified division of 984÷24984 \div 24 is 4141.

Q: Is it possible for an integer to be neither positive nor negative?

A: Yes, an integer can be zero, which is neither positive nor negative.

Q: How do I write integers in descending order?

A: To write integers in descending order, you need to compare each integer with the others and arrange them in order from largest to smallest.

Q: What is the difference between positive and negative integers?

A: Positive integers are whole numbers that are greater than zero, while negative integers are whole numbers that are less than zero.

Q: Can I use a calculator to simplify multiplication and division?

A: Yes, you can use a calculator to simplify multiplication and division, but it's also important to understand the mathematical concepts behind the calculations.

Q: How do I simplify large numbers?

A: To simplify large numbers, you can break them down into smaller parts, use prime factorization, or use a calculator.

Q: What is the importance of simplifying multiplication and division?

A: Simplifying multiplication and division can make the process much easier and faster, and it can also help you to understand the mathematical concepts behind the calculations.

Conclusion

In this article, we simplified the multiplication and division of large numbers, and we also discussed whether it is possible for an integer to be neither positive nor negative. We also wrote the given integers in descending order. By using mathematical concepts and techniques, we can simplify complex calculations and make them easier to understand.

Final Answer

The final answer to the problem is:

  • Simplified multiplication: 698×32=22336698 \times 32 = 22336
  • Simplified division: 984÷24=41984 \div 24 = 41
  • Integer that is neither positive nor negative: 00
  • Integers in descending order: [527,498,489,112,−31,−39][527, 498, 489, 112, -31, -39]