Finite Math Examples

$10.27788858 + 41.32166612$

Step 1

Add using long addition.

Tap for more steps...

Step 1.1

Set up the addition in long addition format, placing the larger number on top of the smaller number. Align the decimal points in each addend.


	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.

Step 1.2

Add the numbers together from the far right column. Since the result is greater than $10$ , carry the tens digit to the next column.

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.								$0$

Step 1.3

Add the numbers together from the next column to the left, including the carry digit.

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.							$7$	$0$

Step 1.4

Add the numbers together from the next column to the left. Since the result is greater than $10$ , carry the tens digit to the next column.

								$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.						$4$	$7$	$0$

Step 1.5

Add the numbers together from the next column to the left, including the carry digit. Since the result is greater than $10$ , carry the tens digit to the next column.

							$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.					$5$	$4$	$7$	$0$

Step 1.6

Add the numbers together from the next column to the left, including the carry digit. Since the result is greater than $10$ , carry the tens digit to the next column.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.				$5$	$5$	$4$	$7$	$0$

Step 1.7

Add the numbers together from the next column to the left, including the carry digit.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.			$9$	$5$	$5$	$4$	$7$	$0$

Step 1.8

Add the numbers together from the next column to the left.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.		$9$	$9$	$5$	$5$	$4$	$7$	$0$

Step 1.9

Add the numbers together from the next column to the left.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

Step 1.10

Add the numbers together from the next column to the left.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
		$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

Step 1.11

Add the numbers together from the next column to the left.

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
	$5$	$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
	$5$	$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

Step 2

The sum of $41.32166612$ and $10.27788858$ is $51.5995547$ .

$51.5995547$


	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.								$0$

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.							$7$	$0$

								$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.						$4$	$7$	$0$

							$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.					$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.				$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.			$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.		$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
		$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$


	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.								$0$

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.							$7$	$0$

								$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.						$4$	$7$	$0$

							$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.					$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.				$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.			$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.		$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
		$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$


	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.								$0$

										$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.							$7$	$0$

								$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.						$4$	$7$	$0$

							$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.					$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.				$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.			$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.		$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
			.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$

						$1$	$1$	$1$		$1$
	$4$	$1$	.	$3$	$2$	$1$	$6$	$6$	$6$	$1$	$2$
$+$	$1$	$0$	.	$2$	$7$	$7$	$8$	$8$	$8$	$5$	$8$
		$1$	.	$5$	$9$	$9$	$5$	$5$	$4$	$7$	$0$