Compare and fill the box .
`795xx999+795 square 887xx10xx461-361xx8870`

Options

A. `gt`
B. `lt`
C. `=`
D. Cannot be determined

Answer

To solve the problem, we need to compare two expressions and fill in the boxes accordingly. The expressions we need to compare are:

1. \( 795 \times 999 + 795 \)
2. \( 897 \times 10 \times 461 - 361 \times 8870 \)

Let's break this down step by step.

### Step 1: Simplify the First Expression
The first expression is:
\[ 795 \times 999 + 795 \]

We can factor out 795:
\[ 795 \times (999 + 1) = 795 \times 1000 \]

Now, calculate:
\[ 795 \times 1000 = 795000 \]

### Step 2: Simplify the Second Expression
The second expression is:
\[ 897 \times 10 \times 461 - 361 \times 8870 \]

First, calculate \( 897 \times 10 \times 461 \):
\[ 8970 \times 461 \]

Now, calculate \( 361 \times 8870 \):
\[ 361 \times 8870 \]

### Step 3: Calculate Each Part
Now, we need to calculate both parts of the second expression.

1. **Calculating \( 8970 \times 461 \)**:
- \( 8970 \times 461 = 4137570 \)

2. **Calculating \( 361 \times 8870 \)**:
- \( 361 \times 8870 = 3208070 \)

### Step 4: Combine the Results of the Second Expression
Now, substitute these values back into the second expression:
\[ 4137570 - 3208070 \]

Calculate the result:
\[ 4137570 - 3208070 = 929500 \]

### Step 5: Compare the Two Results
Now we have:
1. First expression: \( 795000 \)
2. Second expression: \( 929500 \)

Now, we compare:
\[ 795000 \text{ vs } 929500 \]

### Conclusion
Since \( 795000 < 929500 \), we conclude that:
\[ 795000 \text{ is less than } 929500 \]

### Final Answer
The box should be filled with "<" indicating that the first expression is less than the second expression.

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