Decomposing Numbers | Elementary

Concept sheet | Mathematics

How do you decompose a number?

Important!

It is important to understand place value before learning how to decompose numbers.

For a reminder, read the concept sheet on Place Value.

A number can be decomposed according to the positions of its digits.

Example

659 038 = 6 hth + 5 tth + 9 th + 3 t + 8 o

or

659 038 = 659 th + 38 o

A number can be decomposed according to the value of each of its digits.

Example

659 038 = 600 000 + 50 000 + 9 000 + 30 + 8

or

659 038 = (6 × 100 000) + (5 × 10 000) + (9 × 1 000) + (3 × 10) + (8 × 1)

or

659 038 = (6 × 105) + (5 × 104) + (9 × 103) + (3 × 101) + (8 × 100)

How do you decompose a decimal number?

Important!

It is important to understand place value before learning how to decompose decimal numbers.

For a reminder, read the concept sheet on Place Value.

A number can be decomposed according to the value of each of its digits.

Example

|324\ 520.76=300 000+20000+4000+500+20+0.7+0.06|

or

|324/520.76=\left(3\times100{.}000\right)+\left(2\times10 /000\right)+\left(4\times1/000\right)+\left(5\times100\right)+\left(2\times10\right)+\left(7\times0{.}1\right)+\left(6\times0{.}01\right)|

or

|324/ 520.76=\left(3\times10^5\right)+\left(2\times10^4\right)+\left(4\times10^3\right)+\left(5\times10^2\right)+\left(2\times10^1\right)+\left(7\times\dfrac{1}{10}\right)+\left(6\times\dfrac{1}{100}\right)|

Exercise

Decomposing Numbers

Mathematics Grade5-6