Find The Missing Number In This Number Sentence:$17 \times 8 = \square \times 17$Solution:Since Multiplication Is Commutative, We Have:$17 \times 8 = 8 \times 17$Thus, The Missing Number Is 8.

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Introduction

Mathematics is a fascinating subject that involves solving various types of problems, including number sentences. A number sentence is an equation that involves numbers and mathematical operations. In this article, we will explore a number sentence that involves multiplication and find the missing number.

The Number Sentence

The number sentence is given as: $17 \times 8 = \square \times 17$

This equation involves two numbers, 17 and 8, and the multiplication operation. The missing number is represented by the symbol â–¡\square. Our goal is to find the value of the missing number.

The Commutative Property of Multiplication

To solve this problem, we need to use the commutative property of multiplication. The commutative property states that the order of the numbers being multiplied does not change the result. In other words, if we have two numbers, a and b, then:

a×b=b×aa \times b = b \times a

This property is true for all numbers, including integers, fractions, and decimals.

Applying the Commutative Property

Now, let's apply the commutative property to the given number sentence. We have:

17×8=□×1717 \times 8 = \square \times 17

Using the commutative property, we can rewrite the equation as:

8×17=□×178 \times 17 = \square \times 17

Solving for the Missing Number

Now, we can see that the missing number is 8. This is because the commutative property allows us to swap the order of the numbers being multiplied without changing the result.

Conclusion

In this article, we have solved a number sentence that involved multiplication. We used the commutative property of multiplication to find the missing number. The commutative property states that the order of the numbers being multiplied does not change the result. By applying this property, we were able to find the missing number in the number sentence.

Real-World Applications

The commutative property of multiplication has many real-world applications. For example, in finance, the order of numbers being multiplied does not change the result of a calculation. In science, the commutative property is used to describe the behavior of physical systems. In engineering, the commutative property is used to design and analyze complex systems.

Tips and Tricks

Here are some tips and tricks to help you solve number sentences like this one:

  • Use the commutative property of multiplication to swap the order of numbers being multiplied.
  • Use the associative property of multiplication to group numbers being multiplied.
  • Use the distributive property of multiplication to multiply numbers by a factor.

Practice Problems

Here are some practice problems to help you practice solving number sentences like this one:

  • 5×3=□×55 \times 3 = \square \times 5

  • 2×9=□×22 \times 9 = \square \times 2

  • 7×4=□×77 \times 4 = \square \times 7

Conclusion

In this article, we have solved a number sentence that involved multiplication. We used the commutative property of multiplication to find the missing number. The commutative property states that the order of the numbers being multiplied does not change the result. By applying this property, we were able to find the missing number in the number sentence.

Final Thoughts

Mathematics is a fascinating subject that involves solving various types of problems, including number sentences. By using the commutative property of multiplication, we can solve number sentences like this one and find the missing number. We hope that this article has been helpful in understanding the commutative property of multiplication and how to apply it to solve number sentences.

References

  • [1] "Mathematics for Dummies" by Mary Jane Sterling
  • [2] "Algebra and Trigonometry" by Michael Sullivan
  • [3] "Mathematics: A Very Short Introduction" by Timothy Gowers

Glossary

  • Commutative property of multiplication: The property that states that the order of the numbers being multiplied does not change the result.
  • Associative property of multiplication: The property that states that the order in which numbers are multiplied does not change the result.
  • Distributive property of multiplication: The property that states that a number can be multiplied by a factor to get the product.

About the Author

The author of this article is a mathematics teacher with over 10 years of experience. They have taught mathematics to students of all ages and have a passion for making mathematics accessible and fun.

Introduction

In our previous article, we explored a number sentence that involved multiplication and found the missing number using the commutative property of multiplication. In this article, we will answer some frequently asked questions about the missing number in a number sentence.

Q: What is the commutative property of multiplication?

A: The commutative property of multiplication is a mathematical property that states that the order of the numbers being multiplied does not change the result. In other words, if we have two numbers, a and b, then:

a×b=b×aa \times b = b \times a

Q: How do I apply the commutative property of multiplication to solve a number sentence?

A: To apply the commutative property of multiplication, simply swap the order of the numbers being multiplied. For example, if we have the number sentence:

17×8=□×1717 \times 8 = \square \times 17

We can rewrite it as:

8×17=□×178 \times 17 = \square \times 17

Q: What if the number sentence has more than two numbers?

A: If the number sentence has more than two numbers, we can still apply the commutative property of multiplication. For example, if we have the number sentence:

17×8×3=□×17×317 \times 8 \times 3 = \square \times 17 \times 3

We can rewrite it as:

8×17×3=□×17×38 \times 17 \times 3 = \square \times 17 \times 3

Q: Can I use the commutative property of multiplication to solve any type of number sentence?

A: Yes, you can use the commutative property of multiplication to solve any type of number sentence that involves multiplication. However, you may need to use other mathematical properties, such as the associative property or the distributive property, to solve more complex number sentences.

Q: What if I get stuck on a number sentence?

A: If you get stuck on a number sentence, try breaking it down into smaller parts. For example, if you have the number sentence:

17×8×3=□×17×317 \times 8 \times 3 = \square \times 17 \times 3

You can break it down into two smaller parts:

17×8=□×1717 \times 8 = \square \times 17

3=□×33 = \square \times 3

Then, you can apply the commutative property of multiplication to each part separately.

Q: Can I use a calculator to solve a number sentence?

A: Yes, you can use a calculator to solve a number sentence. However, it's always a good idea to check your work by hand to make sure you understand the solution.

Q: What if I make a mistake on a number sentence?

A: If you make a mistake on a number sentence, don't worry! Just go back and recheck your work. If you're still having trouble, try breaking it down into smaller parts or asking for help from a teacher or tutor.

Conclusion

In this article, we have answered some frequently asked questions about the missing number in a number sentence. We hope that this article has been helpful in understanding the commutative property of multiplication and how to apply it to solve number sentences.

Tips and Tricks

Here are some tips and tricks to help you solve number sentences like this one:

  • Use the commutative property of multiplication to swap the order of numbers being multiplied.
  • Use the associative property of multiplication to group numbers being multiplied.
  • Use the distributive property of multiplication to multiply numbers by a factor.
  • Break down complex number sentences into smaller parts.
  • Check your work by hand to make sure you understand the solution.

Practice Problems

Here are some practice problems to help you practice solving number sentences like this one:

  • 5×3×2=□×5×25 \times 3 \times 2 = \square \times 5 \times 2

  • 2×9×4=□×2×92 \times 9 \times 4 = \square \times 2 \times 9

  • 7×4×3=□×7×37 \times 4 \times 3 = \square \times 7 \times 3

Conclusion

In this article, we have answered some frequently asked questions about the missing number in a number sentence. We hope that this article has been helpful in understanding the commutative property of multiplication and how to apply it to solve number sentences.

Final Thoughts

Mathematics is a fascinating subject that involves solving various types of problems, including number sentences. By using the commutative property of multiplication, we can solve number sentences like this one and find the missing number. We hope that this article has been helpful in understanding the commutative property of multiplication and how to apply it to solve number sentences.

References

  • [1] "Mathematics for Dummies" by Mary Jane Sterling
  • [2] "Algebra and Trigonometry" by Michael Sullivan
  • [3] "Mathematics: A Very Short Introduction" by Timothy Gowers

Glossary

  • Commutative property of multiplication: The property that states that the order of the numbers being multiplied does not change the result.
  • Associative property of multiplication: The property that states that the order in which numbers are multiplied does not change the result.
  • Distributive property of multiplication: The property that states that a number can be multiplied by a factor to get the product.

About the Author

The author of this article is a mathematics teacher with over 10 years of experience. They have taught mathematics to students of all ages and have a passion for making mathematics accessible and fun.