Introducing decimal fraction place value.
I am learning how tenths arise out of division.
e.g. 3 ÷ 2 = 1 whole and 5 tenths
Below are 3 whole chocolate bars. Each chocolate bar is made up of
ten pieces. You can just see the ten pieces through the wrapping.
John
Steph
We need to share the chocolate between two
people (Steph, John).
Step 1: Give each person a whole bar.
Step 2: We need to remove the chocolate bar
from the wrapper so we can share these tenths
between John and Steph.
chocolate
chocolate
chocolate
5 tenths go to Steph and 5 tenths go to John
Steph
1
2
3
4
5
Number of tenths
John
Both John and Steph have 1 whole and 5 tenths.
Below are 4 whole chocolate bars. Each chocolate bar is made up of
ten pieces. You can just see the ten pieces through the wrapping.
We need to share the chocolate between five people (Adam, Bruce,
Craig, Dave and Ed).
Step 1: There are 5 people and only 4 bars so we
can’t give out whole bars. First we must remove
the wrappers. So we can share out the tenths.
chocolate
chocolate
chocolate
chocolate
Each person
received 8
tenths.
Step 2: Share them out. We have 40 tenths and 5
people what is 40 ÷ 5 = ?
8, so each person must get 8 tenths
1
2 3
4
5
6
7 8 Number of tenths
Adam
Bruce
Craig
Dave
Ed
Now try these questions on your own. You may need some blocks to help
you work these out.
Record how many wholes there are and how many tenths.
1) 6 ÷ 4 = ?
1 whole and 5 tenths
2) 6 ÷ 5 = ?
1 whole and 2 tenths
3) 8 ÷ 10 = ?
8 tenths
4) 7 ÷ 5 = ?
1 whole and 4 tenths
5) 7 ÷ 2 = ?
3 wholes and 5 tenths
Click again when you have
completed each question and
the answer will be displayed.
Need some more practise? Try Teacher Tools Addition and Subtraction
Book or Fractions, Decimals and Percentages Book Numeracy resources