## What you need to know

Things to remember:

• When identifying the value of digits in decimals, we work from left to right.

If we were looking for value of digits in a whole number, we start from the right and go left.

What is the value of each digit in 7236?

$$6\rightarrow Units$$

$$3\rightarrow Tens$$

$$2\rightarrow Hundreds$$

$$7\rightarrow Thousands$$

$$6\times1=6$$

$$3\times10=30$$

$$2\times100=200$$

$$7\times1000=7000$$

So, how do we identify values in a decimal number? We do it in the exact same way!

What is the value of each digit in 8.432?

$$8\rightarrow Units$$

$$4\rightarrow Tenths$$

$$3\rightarrow Hundredths$$

$$2\rightarrow Thousandths$$

$$8\times1=8$$

$$4\times0.1=0.4$$

$$3\times0.01=0.03$$

$$2\times0.001=0.002$$

## Example Questions

#### Question 1: What is the value of the 5 in 2.352?

$$2\rightarrow Units$$

$$3\rightarrow Tenths$$

$$5\rightarrow Hundredths$$

$$2\rightarrow Thousandths$$

$$5\times0.05=0.05$$

The 5 in 2.352 is worth 5 hundredths, or 0.05.

#### Question 2: What is the value of the 8 in 1.118?

$$1\rightarrow Units$$

$$1\rightarrow Tenths$$

$$1\rightarrow Hundredths$$

$$8\rightarrow Thousandths$$

$$8\times0.001=0.008$$

The 8 in 1.118 is worth 8 thousandths, or 0.008.