find the product of 543 and 36

Daniel Parker

less than a minute read

·

23-02-2025

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Finding the product of 543 and 36 means multiplying these two numbers together. This can be done using several methods, from standard long multiplication to using a calculator. Let's explore a few approaches.

Method 1: Standard Long Multiplication

This is a common method taught in schools. It involves multiplying each digit of one number by each digit of the other and then adding the partial products.

Step 1: Set up the Problem

Write the numbers vertically, one above the other, aligning the digits on the right.

   543
x    36
-------

Step 2: Multiply by the Ones Digit

Multiply 543 by the ones digit of 36 (which is 6).

   543
x    36
-------
 3258  (543 x 6)

Step 3: Multiply by the Tens Digit

Multiply 543 by the tens digit of 36 (which is 3). Since this is the tens digit, add a zero as a placeholder to the right before starting the multiplication.

   543
x    36
-------
 3258
16290 (543 x 30)

Step 4: Add the Partial Products

Add the two partial products together.

   543
x    36
-------
 3258
16290
-------
19548

Therefore, the product of 543 and 36 is $\boxed{19548}$.

Method 2: Using the Distributive Property

The distributive property allows us to break down the multiplication into smaller, easier steps. We can rewrite 36 as (30 + 6).

Step 1: Distribute

Multiply 543 by both 30 and 6 separately.

(543 x 30) + (543 x 6)

Step 2: Calculate

543 x 30 = 16290 543 x 6 = 3258

Step 3: Add

16290 + 3258 = 19548

Again, the product of 543 and 36 is $\boxed{19548}$.

Method 3: Using a Calculator

The simplest method is to use a calculator. Enter 543, then the multiplication symbol (*), then 36, and finally the equals sign (=). The calculator will instantly display the answer: $\boxed{19548}$.

Conclusion

No matter which method you use—long multiplication, the distributive property, or a calculator—the product of 543 and 36 is always 19,548. Choosing the method that works best for you depends on your comfort level with math and the tools available. Understanding the different methods, however, provides a deeper understanding of multiplication.