Using the expanded form to subtract the following 7685491-654321

To subtract \( 7685491 - 654321 \) using the expanded form, we break down both numbers according to place value.

### Step 1: Break the numbers into their expanded form
- \( 7685491 \) becomes:
  \[
  7,000,000 + 600,000 + 80,000 + 5,000 + 400 + 90 + 1
  \]
  
- \( 654,321 \) becomes:
  \[
  600,000 + 50,000 + 4,000 + 300 + 20 + 1
  \]

### Step 2: Subtract corresponding terms

Now, subtract each component from the same place value:

\[
(7,000,000 - 600,000) = 6,400,000
\]
\[
(600,000 - 50,000) = 550,000
\]
\[
(80,000 - 4,000) = 76,000
\]
\[
(5,000 - 300) = 4,700
\]
\[
(400 - 20) = 380
\]
\[
(90 - 1) = 89
\]
\[
(1 - 1) = 0
\]

### Step 3: Add the results of the subtractions
Now, sum the differences:

\[
6,400,000 + 550,000 + 76,000 + 4,700 + 380 + 89 + 0 = 7,031,169
\]

So, \( 7685491 - 654321 = 7,031,169 \).

Would you like further details or have any questions?

### Related Questions:
1. How do you handle subtraction with borrowing in expanded form?
2. What is the expanded form method for addition of large numbers?
3. How would you apply expanded form subtraction for decimal numbers?
4. How can this method be used to subtract three numbers together?
5. Can this method simplify mental subtraction?

### Tip:
Breaking numbers into place values helps understand large number operations, making them simpler to work with step by step.

Learn how to subtract large numbers like 7685491 and 654321 using the expanded form method. This step-by-step guide breaks down numbers into place values and performs subtraction for each component, making complex subtraction easier. Ideal for 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