What should be added to the product of 92 and 7 to make it divisible by 9?

Options

A. 4
B. 7
C. 8
D. 3

Answer

To solve the problem of what should be added to the product of 92 and 7 to make it divisible by 9, we can follow these steps:

### Step 1: Calculate the product of 92 and 7
First, we need to find the product of 92 and 7.

\[ 92 \times 7 = 644 \]

**Hint:** Multiply the two numbers directly to find the product.

### Step 2: Check the divisibility of 644 by 9
Next, we need to determine if 644 is divisible by 9. We can do this by dividing 644 by 9 and finding the remainder.

\[ 644 \div 9 = 71 \quad \text{(quotient)} \]
\[ 71 \times 9 = 639 \quad \text{(product)} \]
\[ 644 - 639 = 5 \quad \text{(remainder)} \]

**Hint:** Use long division to find the quotient and then calculate the product to find the remainder.

### Step 3: Determine what needs to be added
Since the remainder is 5, we need to find out how much we need to add to 644 to make it divisible by 9. To do this, we can subtract the remainder from 9.

\[ 9 - 5 = 4 \]

**Hint:** Subtract the remainder from 9 to find out how much more is needed to reach the next multiple of 9.

### Step 4: Conclusion
Thus, we need to add 4 to the product of 92 and 7 (which is 644) to make it divisible by 9.

\[ \text{Required number to add} = 4 \]

**Final Answer:** 4 should be added to make the product divisible by 9.