Order Decimal Numbers - 5th Grade - Oryx Learning - Math lessons, practice material and activities.

G5 - 2.8 Order Decimal Numbers

2.8 Order Decimal Numbers

Order these numbers from the least to the greatest.

9.54

9.65

9.45

9.56

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Concept

Order decimal Numbers:
In our decimal number system, the value of a digit depends on its place or position in the number. Each place has a value of 10 times the place to its right.

Rule

You read the number from left to right.
Comparing decimal numbers

Set up a place value chart.
Put in the digits of each number.
Compare using the first column on the left.
If the digits are equal, move to the next column to the right until the digits are different. If all the digits are equal, the numbers are equal.

Thousands			Ones			Decimal Place Value
Hundred Thousands	Tens Thousands	Thousands	Hundreds	Tens	Ones	Decimal Point	Tenths	Hundredths	Thousandths	Ten-Thousandths
						.

Example

Order these numbers from the greatest to the least.

7.5971

7.5871

7.5951

7.5970

Solution

Set up a place value chart.
Put in the digits of each number.
Compare using the first column on the left.
If the digits are equal, move to the next column to the right until the digits are different.

The digits are the same until the hundredth place.
Three of the numbers have a 9 in the hundredth place. The fourth numbers have an 8. Eight is less than 9. The number with the 8 will be the last number when comparing from the greatest to the least. Move it to the last place.

Ones			Decimal Place Value
Hundreds	Tens	Ones	Decimal Point	Tenths	Hundredths	Thousandths	Ten-Thousandths
		7	.	5	9	7	1
		7	.	5	8	7	1
		7	.	5	9	5	1
		7	.	5	9	7	0

7.5971

7.5951

7.5970

7.5871

Compare the remaining three numbers by moving on to the thousandths place. Two of the numbers have a 7 in the thousandths place and one has a 5. Five is less than 7. Move the number with the 5 in the thousandths place to the third position.

Ones			Decimal Place Value
Hundreds	Tens	Ones	Decimal Point	Tenths	Hundredths	Thousandths	Ten-Thousandths
		7	.	5	9	7	1
		7	.	5	9	5	1
		7	.	5	9	7	0

7.5971

7.5970

7.5951

7.5871

Compare the remaining two numbers by moving on to the ten-thousandths place. The first number has a 1 in the ten-thousandths place and the second number has a 0. One is greater than zero. The number with the 1 is the first number when comparing from the greatest to the least.