Jaspreet and Gulnaz are organising a langar (a community lunch) in their neighbourhood Gurudwara. They expect around one thousand ($1000$) people to be fed. This chapter introduces numbers up to four digits, exploring their representation, place value, and comparison.
Donations received for the langar are represented in various mathematical forms:
Using Dienes Blocks, we can systematically build up to one thousand by grouping in tens:
Zoltán Pál Dienes, a Hungarian mathematician, developed these blocks to help students understand the base-10 place value system.
Decomposing $1000$ into addition facts:
Regrouping allows us to simplify representations of numbers when a place value column exceeds 9:
To write numbers larger than $1000$, we introduce the Thousands (Th) place value column:
| Thousands (Th) | Hundreds (H) | Tens (T) | Ones (O) | Number | Number Name |
|---|---|---|---|---|---|
| 1 | 0 | 0 | 0 | 1000 | One thousand |
| 1 | 0 | 0 | 1 | 1001 | One thousand one |
| 1 | 1 | 0 | 0 | 1100 | One thousand one hundred |
| 3 | 0 | 1 | 9 | 3019 | Three thousand nineteen |
Writing a number as the sum of the values of its digits:
To compare two 4-digit numbers, we compare their digits from left to right (starting from the Thousands place):
We can arrange quantities like mountain heights or cricket scores in ascending or descending order: