Order numbers to 1,000

Ordering whole numbers from 0 through 1,000 involves comparing hundreds, tens, and ones from left to right by place value, including numbers with zero in one or more places, and arranging them from least to greatest or greatest to least. A number line represents their relative magnitude and supports later work with place value, rounding, and computation; decimals, negative numbers, and numbers greater than 1,000 are not included.

Detailed Explanation: Order numbers to 1,000

To order numbers, compare their place values from left to right:

Compare the hundreds.
If the hundreds are the same, compare the tens.
If the tens are the same, compare the ones.

For example, order these numbers from least to greatest:

407,\quad 74,\quad 470,\quad 400,\quad 704

Write $74$ as $074$ to show its place values:

Number	Hundreds	Tens	Ones
$407$	4	0	7
$074$	0	7	4
$470$	4	7	0
$400$	4	0	0
$704$	7	0	4

$074$ has $0$ hundreds, so it is the least.
The numbers with $4$ $4$ hundreds come next: $400$ $400$ , $407$ $407$ , and $470$ $470$ .
- $400$ and $407$ both have $0$ tens, but $0<7$ , so $400<407$ .
- $407$ and $470$ both have $4$ hundreds, but $0<7$ tens, so $407<470$ .
$704$ has $7$ hundreds, so it is the greatest.

Therefore, from least to greatest:

\boxed{74,\ 400,\ 407,\ 470,\ 704}

You can check your order on a number line: numbers farther left are less, and numbers farther right are greater.

Learn by doing: Order numbers to 1,000

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Number Sense - Ordering 4 Integers (descending)

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Order numbers to 1,000

Detailed Explanation: Order numbers to 1,000

Learn by doing: Order numbers to 1,000

Practice with unlimited practice problems

Practice:

Number Sense - Ordering 4 Integers (descending)