16. Write an expression that can be used to find $$ 4 imes 275 $$ using mental math and properties of numbers.

Question

16. Write an expression that can be used to find $$ 4 	imes 275 $$ using mental math and properties of numbers.

UpStudy AI · Accepted Answer

To calculate $$ 4 \times 275 $$ using mental math and the properties of numbers, you can use the **distributive property**. Here's how you can set up the expression:

$$
4 \times 275 = 4 \times (200 + 75) = (4 \times 200) + (4 \times 75)
$$

**Breakdown:**

1. **Distribute the 4** over the sum inside the parentheses:
   $$
   4 \times (200 + 75)
   $$
2. **Multiply each term separately**:
   $$
   (4 \times 200) + (4 \times 75)
   $$
   
This approach simplifies the multiplication by breaking it down into smaller, more manageable parts:

- $$ 4 \times 200 = 800 $$
- $$ 4 \times 75 = 300 $$

**Final Calculation:**
$$
800 + 300 = 1100
$$

So, $$ 4 \times 275 = 1100 $$.
Use the distributive property to calculate $$ 4 \times 275 $$ as $$ (4 \times 200) + (4 \times 75) $$, which equals 1100.

16. Write an expression that can be used to find \( 4 \times 275 \) using mental math and properties of numbers.

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