https://file.aiquickdraw.com/mathbot/file/17265736914722xqi7ac8.jpg

The image shows a partial long multiplication problem, where \( 63 \) is being multiplied by \( 28 \). There are missing digits represented by \( a \), \( b \), and \( c \), which correspond to certain steps in the multiplication process. Let's break it down:

1. **First row calculation**: Multiply \( 63 \times 8 \):
   \[
   63 \times 8 = 504
   \]
   So, the first row in the multiplication should be \( 504 \), which gives \( b = 0 \) (the tens digit in the second row).

2. **Second row calculation**: Multiply \( 63 \times 2 \) (shifted one place to the left, so it becomes \( 1260 \)):
   \[
   63 \times 2 = 126
   \]
   Shifted one place to the left, this becomes \( 1260 \), which matches the second row.

3. **Final sum**: Add the two results, \( 504 \) and \( 1260 \):
   \[
   504 + 1260 = 1764
   \]
   This makes \( a = 7 \) and \( c = 7 \).

So, the values of \( a \), \( b \), and \( c \) are:
- \( a = 1 \)
- \( b = 0 \)
- \( c = 7 \)

Do you want more details on any of the steps?

Here are 5 relative questions:
1. What are the rules for performing long multiplication?
2. Can you explain why there is a shift in place value when multiplying by the tens digit?
3. How can estimation help in checking multiplication results?
4. What is the difference between carrying and shifting in multiplication?
5. How does place value affect the result in long multiplication?

**Tip**: Always align digits properly in long multiplication to ensure the place values are correct.

What are the missing digits in this long multiplication problem where 63 is multiplied by 28, and a, b, c represent missing digits?

Learn how to solve for missing digits in a long multiplication problem where 63 is multiplied by 28. This tutorial covers key multiplication concepts, such as place value and the long multiplication method. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation