Fill in the missing numbers. X X 15 25 996 3 2 69 4 4 7 1 25 996 3269 8 64 12 8 8 764 12 8 2 2
Fill in the missing numbers. X X 15 25 996 3 2 69 4 4 7 1 25 996 3269 8 64 12 8 8 764 12 8 2 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Fill in the Missing Numbers Exercise**
In this exercise, you will practice multiplication by filling in the missing numbers in the long multiplication problem. This helps build your understanding of the multiplication process and enhances your problem-solving skills.
First, let's look at the partially completed problem:
4 _ 8
× 7 6 4
______________
1 _ 2
+ 2 5 _ 8
+ _ 9 9 6 _
_________________
3 2 6 9 _ 2
Your task is to find and fill in all the missing numbers (represented by underscores).
**Detailed Explanation:**
Multiplication in columns involves multiplying each digit of the second number (764) by each digit of the first number (4_8) and then summing up the results, taking care of placing each intermediate result in the correct column.
1. **Illustration of Partial Multiplication:**
In the first part, we can see that 764 is multiplied by a number starting with 8, resulting in:
1 _ 2
The next step, 764 is multiplied by another number resulting in:
2 5 _ 8
Finally, 764 is multiplied by the third number resulting in:
_ 9 9 6 _
2. **Summation of Results:**
After calculating the above intermediate products, they are added together sequentially as shown:
3 2 6 9 _ 2
**Interactive Activity:**
Using the diagram below, fill in the missing numbers by following the steps of long multiplication.
4 [ ] 8
× 7 6 4
_______________
1 [ ] 2
+ 2 5 [ ] 8
+ [ ] 9 9 6
_________________
3 2 6 9 [ ] 2
In the provided diagram, placeholders represent the missing digits. Calculate systematically to find the correct values and complete the multiplication process.
**Exercises like these are essential for developing mathematical precision and confidence in dealing with multiplication problems. Happy solving](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a817796-b4be-478d-ba8b-56db553c444f%2F2944f0a3-10c9-4a6e-8689-7c56f3dec23e%2Fbdn9w1d_processed.png&w=3840&q=75)
Transcribed Image Text:**Fill in the Missing Numbers Exercise**
In this exercise, you will practice multiplication by filling in the missing numbers in the long multiplication problem. This helps build your understanding of the multiplication process and enhances your problem-solving skills.
First, let's look at the partially completed problem:
4 _ 8
× 7 6 4
______________
1 _ 2
+ 2 5 _ 8
+ _ 9 9 6 _
_________________
3 2 6 9 _ 2
Your task is to find and fill in all the missing numbers (represented by underscores).
**Detailed Explanation:**
Multiplication in columns involves multiplying each digit of the second number (764) by each digit of the first number (4_8) and then summing up the results, taking care of placing each intermediate result in the correct column.
1. **Illustration of Partial Multiplication:**
In the first part, we can see that 764 is multiplied by a number starting with 8, resulting in:
1 _ 2
The next step, 764 is multiplied by another number resulting in:
2 5 _ 8
Finally, 764 is multiplied by the third number resulting in:
_ 9 9 6 _
2. **Summation of Results:**
After calculating the above intermediate products, they are added together sequentially as shown:
3 2 6 9 _ 2
**Interactive Activity:**
Using the diagram below, fill in the missing numbers by following the steps of long multiplication.
4 [ ] 8
× 7 6 4
_______________
1 [ ] 2
+ 2 5 [ ] 8
+ [ ] 9 9 6
_________________
3 2 6 9 [ ] 2
In the provided diagram, placeholders represent the missing digits. Calculate systematically to find the correct values and complete the multiplication process.
**Exercises like these are essential for developing mathematical precision and confidence in dealing with multiplication problems. Happy solving
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