## What is 69×69?

*69 multiplied by 69 equals 4,761.*

## Multiplying Large Numbers Efficiently

Multiplying large numbers is an essential math skill needed for tasks from calculating areas to engineering physics. Numbers with multiple digits can become cumbersome to multiply in your head. Methods like breaking numbers into place values and using the lattice technique make large multiplications manageable. Let’s see how to efficiently multiply 69 by 69 step-by-step.

## Break Into Place Values

The first step is to break down 69 and 69 into tens and ones place values:

69 = 60 + 9 69 = 60 + 9

By rewriting each number separated into tens and ones, the multiplication becomes more organized.

## Multiply Vertically

Now multiply straight down vertically:

60 x 60 = 3600 60 x 9 = 540 9 x 60 = 540 9 x 9 = 81

This keeps each multiplication organized into columns.

## Add the Columns

The last step is to simply add up the columns:

3600 +540 +540 +81 4761

So the product of 69 x 69 = 4761. The place value breakdown prevents mistakes and makes large multiplications straightforward.

An alternative method is the lattice technique which creates a box diagram and multiplies diagonally. Both methods leverage place value and breaking numbers down systematically.

Practicing efficient large number multiplication develops an important mathematical life skill. Whether for school, work, finances, or other applications, being able to multiply large numbers with confidence is essential. Use smart techniques like place values and lattice to make those jumbo multiplications manageable!

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