Question

Drag each expression to a box to show whether it is a correct way to check the answer to this equation:

4,346 ÷ 7 = 620 remainder 6

620x7+6, 620x6, 620x7 or 620+7+6?

Correct Way to Check

Incorrect Way to Check

Answer 1

To verify the equation \( 4,346 ÷ 7 = 620 \) remainder \( 6 \), we can use the formula for checking division with a remainder, which is:

\[ \text{Divisor} \times \text{Quotient} + \text{Remainder} = \text{Dividend} \]

In this case:

- Divisor = \( 7 \)
- Quotient = \( 620 \)
- Remainder = \( 6 \)
- Dividend = \( 4,346 \)

Now, let's check each expression:

1. **620 x 7 + 6**:
- This checks out because \( 620 \times 7 + 6 = 4,340 + 6 = 4,346 \).
- **Correct Way to Check**

2. **620 x 6**:
- This would give \( 620 \times 6 = 3,720 \), which does not verify anything related to the original equation.
- **Incorrect Way to Check**

3. **620 x 7**:
- This results in \( 620 \times 7 = 4,340 \), which is not the dividend we started with. This number is only part of the calculation and does not verify the equation properly.
- **Incorrect Way to Check**

4. **620 + 7 + 6**:
- This equals \( 620 + 7 + 6 = 633 \), which also does not verify the equation.
- **Incorrect Way to Check**

So, the placement would be:

**Correct Way to Check**:
- 620 x 7 + 6

**Incorrect Way to Check**:
- 620 x 6
- 620 x 7
- 620 + 7 + 6