Simplify:- 958 * 21 ÷ 4 = ?

Options

A. a. 5029.5
B. b. 5039.3
C. c. 5049.3
D. d. 5019.5

Answer

To simplify the expression \( 958 \times 21 \div 4 \), we will follow the order of operations.

### Step-by-Step Solution:

1. **Rewrite the expression**:
\[ 958 \times 21 \div 4 \]
This can be rewritten as:
\[ 958 \times 21 \times \frac{1}{4} \]

2. **Perform the division first**:
To make calculations easier, we can divide \( 958 \) by \( 4 \) first:
\[ \frac{958}{4} \]

3. **Calculate \( 958 \div 4 \)**:
- \( 4 \) goes into \( 9 \) two times (since \( 4 \times 2 = 8 \)), leaving a remainder of \( 1 \).
- Bring down the \( 5 \) to make \( 15 \). \( 4 \) goes into \( 15 \) three times (since \( 4 \times 3 = 12 \)), leaving a remainder of \( 3 \).
- Bring down the \( 8 \) to make \( 38 \). \( 4 \) goes into \( 38 \) nine times (since \( 4 \times 9 = 36 \)), leaving a remainder of \( 2 \).
- So, \( 958 \div 4 = 239.5 \).

4. **Multiply the result by \( 21 \)**:
Now, we multiply \( 239.5 \) by \( 21 \):
\[ 239.5 \times 21 \]

5. **Perform the multiplication**:
- First, multiply \( 239.5 \) by \( 21 \):
\[ 239.5 \times 21 = 239.5 \times (20 + 1) = 239.5 \times 20 + 239.5 \times 1 \]
- Calculate \( 239.5 \times 20 = 4790 \) (since \( 239.5 \times 2 = 479 \) and then multiply by \( 10 \)).
- Calculate \( 239.5 \times 1 = 239.5 \).
- Add these two results together:
\[ 4790 + 239.5 = 5029.5 \]

6. **Final result**:
Therefore, the simplified result of \( 958 \times 21 \div 4 \) is:
\[ 5029.5 \]