Place value in 4 digit numbers
The Maths Habit
Ali has a pile of coins. Bea has one note. Who has more money?
You cannot tell. It depends what each one is worth.
- Place value
- What a digit is worth because of the column it is in.
- Partition
- Split a number into parts that add up to it.
- Exchange
- Swap ten counters in one column for one counter in the next column.
- Count each column.The count is the digit in that column.
- What is each column worth?4 counters of 100 are worth 400.
- Add what the columns are worth.2000 + 400 + 30 + 6 = 2436
Which column does each counter go in?
What number do the counters show? Count each column. What is each column worth? 3516
What number do the counters show? Count each column. What is each column worth? 2743
What number do the counters show? Count each column. What is each column worth? 3516
What number do the counters show? Count each column. What is each column worth? 6081
What number do the counters show? Count each column. What is each column worth? 3516
Draw counters to show 4270. Count each column. What is each column worth? 4000 + 200 + 70
What number do the counters show? Count each column. What is each column worth? 3516
Write 5000 + 300 + 9 as a number. Draw the counters to help. 5309
What number do the counters show? Count each column. What is each column worth? 3516
What is the 8 worth in 2857? Draw the counters to help. 800
Ten counters in the ones column. Swap them for one counter. Which one?
Ten counters in the hundreds column. Swap them for one counter. Which one?
What is 10 more than 3495? Add one counter. Count each column. 3505
What is 100 more than 2360? Add one counter. Count each column. 2460
What is 10 more than 3495? Add one counter. Count each column. 3505
What is 1000 less than 7104? Take one counter away. Count each column. 6104
Answer sheet
Is the 6 worth 600? Thumbs up or thumbs down.
2641
Thumbs up: the 6 is worth 6006214
Thumbs down: the 6 is worth 60003162
Thumbs down: the 6 is worth 601607
Thumbs up: the 6 is worth 6004506
Thumbs down: the 6 is worth 6
What is 1000 more than 9450?
10 450Use 4 counters. What is the biggest number you can make?
4000Use 4 counters. What is the smallest 4 digit number you can make?
1003Make 1000 with exactly 19 counters.
For example, 9 hundreds and 10 tens
What is the 6 worth in 3618?
600What is 100 more than 4950?
5050Write 5083 as thousands, hundreds, tens and ones added together.
5000 + 80 + 3