Simplify :
25 x 8358 x 4

Q: Simplify : 25 x 8358 x 4

To simplify the expression $25 \times 8358 \times 4$, we can break down the calculation into manageable steps and verify why Option 3 is the correct answer. ### Step-by-Step Calculation: 1. **Multiply 25 by 4:** \[ 25 \times 4 = 100 \] This simplifies the expression to: \[ 100 \times 8358 \] 2. **Multiply 100 by 8358:** \[ 100 \times 8358 = 835800 \] This calculation shows that the product of the expression is 835800. ### Explanation of Options: - **Option 1: 837900** - This option is incorrect because the calculation of $100 \times 8358$ results in 835800, not 837900. The digits do not match the correct product. - **Option 2: 835100** - This option is incorrect because it underestimates the product. The correct multiplication yields 835800, which is higher than 835100. - **Option 3: 835800** - This is the correct option because the calculation $100 \times 8358$ precisely results in 835800. The digits and the value match exactly with the computed product. - **Option 4: None of these** - This option is incorrect because we have verified that the correct product of the expression is indeed 835800, which matches Option 3. In conclusion, the correct answer is Option 3: 835800, as it accurately reflects the result of the given mathematical expression.

Question

Simplify : 
25 x 8358 x 4

Accepted Answer

To simplify the expression $25 \times 8358 \times 4$, we can break down the calculation into manageable steps and verify why Option 3 is the correct answer.

### Step-by-Step Calculation:

1. **Multiply 25 by 4:**
   $$
   25 \times 4 = 100
   $$
   This simplifies the expression to:
   $$
   100 \times 8358
   $$

2. **Multiply 100 by 8358:**
   $$
   100 \times 8358 = 835800
   $$
   This calculation shows that the product of the expression is 835800.

### Explanation of Options:

- **Option 1: 837900**
  - This option is incorrect because the calculation of $100 \times 8358$ results in 835800, not 837900. The digits do not match the correct product.

- **Option 2: 835100**
  - This option is incorrect because it underestimates the product. The correct multiplication yields 835800, which is higher than 835100.

- **Option 3: 835800**
  - This is the correct option because the calculation $100 \times 8358$ precisely results in 835800. The digits and the value match exactly with the computed product.

- **Option 4: None of these**
  - This option is incorrect because we have verified that the correct product of the expression is indeed 835800, which matches Option 3.

In conclusion, the correct answer is Option 3: 835800, as it accurately reflects the result of the given mathematical expression.