Type The Integer That Makes The Following Division Sentence True: − 121 □ = 11 \frac{-121}{\square} = 11 □ − 121 ​ = 11

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Introduction

Mathematics is a fascinating subject that involves solving various problems and equations. One of the fundamental concepts in mathematics is division, which involves finding the quotient of two numbers. In this article, we will explore a division sentence that involves a missing integer, and we will determine the value of that integer.

Understanding the Division Sentence

The given division sentence is $\frac{-121}{\square} = 11$. To solve this equation, we need to find the value of the missing integer that makes the division sentence true. In other words, we need to find the value of the integer that, when divided into -121, gives a quotient of 11.

The Importance of Division in Mathematics

Division is a crucial operation in mathematics that involves finding the quotient of two numbers. It is an essential concept in various mathematical operations, such as fractions, decimals, and percentages. In addition, division is used in real-life applications, such as calculating the cost of items, measuring the area of a room, and determining the number of people in a group.

Solving the Division Sentence

To solve the division sentence, we need to find the value of the missing integer that makes the equation true. We can start by multiplying both sides of the equation by the missing integer, which will eliminate the division symbol. This will give us the equation:

$-121 = 11 \times \square$

Multiplying 11 by the Missing Integer

To find the value of the missing integer, we need to multiply 11 by that integer. We can start by listing the multiples of 11:

$11 \times 1 = 11$ $11 \times 2 = 22$ $11 \times 3 = 33$ $11 \times 4 = 44$ $11 \times 5 = 55$ $11 \times 6 = 66$ $11 \times 7 = 77$ $11 \times 8 = 88$ $11 \times 9 = 99$ $11 \times 10 = 110$ $11 \times 11 = 121$

Finding the Value of the Missing Integer

From the list of multiples of 11, we can see that the product of 11 and 11 is 121. However, we are looking for the product of 11 and a negative integer that equals -121. To find this value, we can multiply 11 by -11, which gives us:

$11 \times -11 = -121$

Conclusion

In conclusion, the value of the missing integer that makes the division sentence true is -11. This value, when divided into -121, gives a quotient of 11. The importance of division in mathematics cannot be overstated, as it is a fundamental concept that is used in various mathematical operations and real-life applications.

Frequently Asked Questions

• What is the value of the missing integer that makes the division sentence true?
• How do we solve the division sentence?
• What is the importance of division in mathematics?

Answers

• The value of the missing integer that makes the division sentence true is -11.
• To solve the division sentence, we need to multiply both sides of the equation by the missing integer, which will eliminate the division symbol.
• The importance of division in mathematics is that it is a fundamental concept that is used in various mathematical operations and real-life applications.

Final Thoughts

In conclusion, the value of the missing integer that makes the division sentence true is -11. This value, when divided into -121, gives a quotient of 11. The importance of division in mathematics cannot be overstated, as it is a fundamental concept that is used in various mathematical operations and real-life applications.

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Introduction

In our previous article, we explored a division sentence that involved a missing integer, and we determined the value of that integer. In this article, we will answer some frequently asked questions related to the division sentence and provide additional information to help readers understand the concept better.

Q&A

Q: What is the value of the missing integer that makes the division sentence true?

A: The value of the missing integer that makes the division sentence true is -11.

Q: How do we solve the division sentence?

A: To solve the division sentence, we need to multiply both sides of the equation by the missing integer, which will eliminate the division symbol.

Q: What is the importance of division in mathematics?

A: The importance of division in mathematics is that it is a fundamental concept that is used in various mathematical operations and real-life applications.

Q: Can you explain the concept of division in simple terms?

A: Division is a mathematical operation that involves finding the quotient of two numbers. It is the inverse operation of multiplication. For example, if we have the equation 12 ÷ 3 = 4, we can say that 12 divided by 3 equals 4.

Q: How do we handle negative numbers in division?

A: When we divide a negative number by a positive number, the result is a negative number. For example, if we have the equation -12 ÷ 3 = -4, we can say that -12 divided by 3 equals -4.

Q: Can you provide more examples of division sentences?

A: Here are a few examples of division sentences:

• $\frac{24}{\square} = 4$
• $\frac{-36}{\square} = -6$
• $\frac{48}{\square} = 8$

Q: How do we solve these division sentences?

A: To solve these division sentences, we need to multiply both sides of the equation by the missing integer, which will eliminate the division symbol. For example, to solve the equation $\frac{24}{\square} = 4$, we can multiply both sides of the equation by the missing integer, which gives us:

$24 = 4 \times \square$

We can then divide both sides of the equation by 4 to find the value of the missing integer:

$\square = 24 \div 4$ $\square = 6$

Therefore, the value of the missing integer is 6.

Q: Can you explain the concept of inverse operations in mathematics?

A: Inverse operations are pairs of mathematical operations that are related to each other. For example, addition and subtraction are inverse operations, as are multiplication and division. When we add two numbers, we can find the result by subtracting one number from the other. Similarly, when we multiply two numbers, we can find the result by dividing one number by the other.

Q: How do we use inverse operations in real-life applications?

A: Inverse operations are used in various real-life applications, such as calculating the cost of items, measuring the area of a room, and determining the number of people in a group. For example, if we have a recipe that calls for 2 cups of flour and we want to make half the recipe, we can use division to find the amount of flour needed. We can divide 2 cups by 2 to find the amount of flour needed for half the recipe.

Conclusion

In conclusion, the value of the missing integer that makes the division sentence true is -11. We have also answered some frequently asked questions related to the division sentence and provided additional information to help readers understand the concept better. We hope that this article has been helpful in clarifying the concept of division and its importance in mathematics.

Final Thoughts

Division is a fundamental concept in mathematics that is used in various mathematical operations and real-life applications. It is essential to understand the concept of division and its importance in mathematics to solve problems and make informed decisions. We hope that this article has been helpful in providing a clear understanding of the concept of division and its applications.