Solution - Long addition

0.00064

0.00064

See steps

Step-by-step explanation

1. Rewrite the numbers from top to bottom, aligned by their place values

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0
	0
	0
	0
	0	.	0	0	0	6
+	0	.	0	0	0	0	4
		.

Put zeros in the blank number places:

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.

2. Add up the digits in each column, from right to left

Add the numbers in the hundred thousandths place value.
0+0+0+0+0+4=4

Write 4 in the hundred thousandths place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.					4

Add the numbers in the ten thousandths place value.
0+0+0+0+6+0=6

Write 6 in the ten thousandths place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.				6	4

Add the numbers in the thousandths place value.
0+0+0+0+0+0=0

Write 0 in the thousandths place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.			0	6	4

Add the numbers in the hundredths place value.
0+0+0+0+0+0=0

Write 0 in the hundredths place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.		0	0	6	4

Add the numbers in the tenths place value.
0+0+0+0+0+0=0

Write 0 in the tenths place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
		.	0	0	0	6	4

Add the numbers in the ones place value.
0+0+0+0+0+0=0

Write 0 in the ones place.

Place value	ones	.	tenths	hundredths	thousandths	ten thousandths	hundred thousandths
TABLE_NAME_CARRY
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	0	0
	0	.	0	0	0	6	0
+	0	.	0	0	0	0	4
	0	.	0	0	0	6	4

The solution is: 0.00064

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Why learn this

Addition is the most basic math action and is used daily by almost everybody. Playing games, paying at the supermarket, and cooking are just a few examples of when we add.
Long addition is a clear and simple method to add numbers. Especially big numbers.
Although today calculators do this job for us, understanding the concept of addition is a key ability for understanding math.

Terms and topics

Long addition