## What is 30 Times 30?

*30 times 30 equals 900. When you multiply 30 by itself, you are essentially squaring the number 30, resulting in 900. Multiplication is a mathematical operation that represents repeated addition, so 30 multiplied by 30 is the same as adding 30 to itself 30 times, which indeed equals 900.*

Here’s a table illustrating the multiplication of 30 by 30:

Multiplicand | Multiplier | Result |
---|---|---|

30 | 30 | 900 |

So, when you multiply 30 by 30, the result is 900.

## Multiplication of Whole Numbers

Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division. It involves taking two numbers and combining them into an equal groups total. Multiplication allows us to determine the total number when we have a certain number of groups with the same amount in each group.

Mastering multiplication is a key math skill. Let’s walk through multiplying 30 by 30 to see the process.

## Writing the Problem

First, we’ll write the multiplication problem vertically with one number below the other:

30 x30

Lining up the numbers this way allows us to easily multiply each place value position.

## Multiplying Ones

We start by multiplying the ones (rightmost) digits:

30 x30 0

0 x 0 = 0

There are no ones digits to multiply. So we write a 0 to hold the ones place.

## Multiplying Tens

Now we multiply the tens digits:

30 x30 00

3 x 3 = 9

3 tens multiplied by 3 tens is 9 hundreds. We write the 9 in the hundreds place.

No Carryover

Since there is no digit in the thousands place and no carryover from the hundreds place, we are done!

The complete product is 900.

## Checking the Answer

We can double check by approximating:

30 is close to 25 25 x 25 = 625

So 30 x 30 should be close to 625. 900 seems reasonable compared to the estimate.

We could also swap the order and multiply 30 by 30 again. Getting the same product confirms the solution:

30 x30 900

Performing multiplication step-by-step is important for building fluency and mastering this essential math skill.

In summary, when multiplying larger numbers, work from right to left multiplying each place value and carrying to the next position as needed. Taking it one digit at a time makes multi-digit multiplication more manageable.

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