Want to play a game?
Julie and Ralph are playing Compare Decimals
Letβs practice first.
Here are the first 2 cards.
You have to have a decimal point.
You can make the following numbers:
3.7 7.3 .37 .73
Circle the value that you would create if the greatest value wins?
3
7
Did you circle...
3.7 7.3 .37 .73
If the greatest value wins I would create 7.3.
Explain why?
3
7
Debrief: Did you circle...
3.7 7.3 .37 .73
If the greatest value wins I would create 7.3.
Why?
7.3 has 7 ones. The other numbers have 3 ones or 0 ones. 7>3 and 7>0
So, 7.3 is the greatest value.
3
7
7.3
Draw base 10 blocks: | Place Value Chart |
On a numberline: | |
Ones | | Tenths | Hundredths |
| | | |
=1
What value would you create if the lowest value wins?
How do you know this is the lowest value?
3
7
.37
Shade in base 10 blocks | Place Value Chart |
On a numberline | |
Ones | | Tenths | Hundredths |
| | | |
Complete the inequalities
.73 .37
3.7 .37
.37 7.3
7.3 3.7
Letβs play
Julie
Ralph
8
7
9
6
Highest
Lowest
What value should each person make?
Julie should make:
Ralph should make:
Who won? Show how you know.
Ralph
8
7
9
6
Highest
Lowest
Julie made:
8.7
Ralph made:
9.6
Write the inequality to compare 8.7 and 9.6.
Place each value on the numberline
8.7
9.6
Letβs play
Julie
Ralph
4
4
3
3
Highest
Lowest
What value should each person make?
Julie should make:
Ralph should make:
Who won? Show how you know.
4
4
3
3
Highest
Lowest
Julie made:
.44
Ralph made:
.33
Write the inequality to compare .44 and .33
Shade in the grid to model each value.
.44
.33
On the final round of the game Julie won. What cards could Julie have hidden?
Julie
Ralph
?
2
4
1
Highest
Lowest
Julieβs hidden card could be:
Julieβs hidden card could not be:
Debrief: On the final round of the game Julie won. What cards coule Julie have hidden?
Julie
Ralph
?
2
4
1
Highest
Lowest
Julieβs hidden card could be:
4,5,6,7,8, or 9
Julieβs hidden card could not be:
0,1,2, or 3
Julie has a 4 and a 2.
Julie
Ralph
4
2
4
1
Highest
Lowest
Julieβs made:
Ralph made:
What value should each person make?
Who won? Show how you know.
4
2
4
1
Highest
Lowest
Julie made:
4.2
Ralph made:
4.1
Draw or type 2 important things to think about when comparing numbers with decimals:
Practice Problem
You picked a 3 and a 9. Write 4 different possible numbers with one decimal point. Place your numbers from least to greatest.
Practice Problem
You picked a 7 and a 0. Write 4 different possible numbers with one decimal point. Place your numbers from least to greatest.
Practice Problem
You picked a 1 and a 6. Write 4 different possible numbers with one decimal point. Place your numbers from greatest to least.
Practice Problem
You picked a 4 and a 5. Write 4 different possible numbers with one decimal point. Place your numbers from greatest to least.