Decimals

Lesson

Partitioning numbers means breaking numbers down in to two or more parts (or splitting them into smaller units).

To do this, we must understand the value of each digit in a number. In Working with tenths, we looked at the Tenths place value column, which came after the decimal point. In Working with hundredths, we looked at the Hundredths column, which came after the Tenths column.

There are different ways of partitioning a decimal number. For example, 0.49 is equal to

- 4 tenths and 9 hundredths (0.4 + 0.09)
- 2 tenths and 29 hundredths (0.2 + 0.29)
- 35 hundredths and 14 hundredths (0.35 + 0.14)

Let's start with a video.

Remember!

If we think of a block as the ONE... then what fraction of a block is a flat?

- $\frac{1}{10}$110 because 10 flats = 1 block. [This can also be written as 0.1]

If we think of a block as the ONE... then what fraction of a block is a long?

- $\frac{1}{100}$1100 because 100 cubes = 1 block. [This can also be written as 0.01]

Demonstrate an understanding of place value in whole numbers and decimal numbers from 0.01 to 100 000, using a variety of tools and strategies (e.g., use numbers to represent 23 011 as 20 000 + 3000 + 0 + 10 + 1; use base ten materials to represent the relationship between 1, 0.1, and 0.01)