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?

Answer

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?

Answer

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.