Place Value Anchor Chart
NC.4
Place Value & Number Forms
North Carolina Standard Course of Study • Grade 4 Mathematics
Anchor Chart
Reference Page 1
NC.4.NBT.2
Read and write multi-digit whole numbers up to and including 100,000 using numerals, number names, and expanded form.
1. Place Value Chart & Disks
Model Number: 84,326
Thousands Period
Ones Period
Hundred
Thousands
100,000
0
Ten
Thousands
10,000
8
One
Thousands
1,000
4
Hundreds
100
3
Tens
10
2
Ones
1
6
Place Value Disks Each disk = unit value
None
10k 10k 10k 10k 10k 10k 10k 10k
1k 1k 1k 1k
100 100 100
10 10
1 1 1 1 1 1
2. Four Forms of a Multi-Digit Number
1. Base-Ten Numeral (Standard) Digits
84,326
Use a comma to separate 3-digit periods from right to left.
2. Number Name (Word Form) Words
“Eighty-four thousand, three hundred twenty-six”
Read the period name at the comma. Never write “and”.
3. Expanded Form (Values) Sum
80,000 + 4,000 + 300 + 20 + 6
Shows the total independent value represented by each digit.
4. Expanded Notation NC Standard
(8 × 10,000) + (4 × 1,000) + (3 × 100)
+ (2 × 10) + (6 × 1)
Multiplies each digit by its unit place value.
×10
Key Concept: The 10-Times Relationship
In a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right! (e.g., 80,000 is 10 times greater than 8,000).
NC.4
Compare Multi-Digit Numbers
North Carolina Standard Course of Study • Grade 4 Mathematics
Anchor Chart
Reference Page 2
NC.4.NBT.7
Compare two multi-digit numbers up to and including 100,000 based on the values of the digits in each place, using >, =, and < symbols to record the results of comparisons.
1. Inequality Symbols & Meaning
>
Greater Than
The open mouth faces the larger value on the left.
75,400 > 62,100
<
Less Than
The small point faces the smaller value on the left.
43,280 < 43,920
=
Equal To
Both values have the exact same amount in each place.
90,000 = 90,000
2. Place Value Comparison Strategy
1
Line up place values: Stack digits by place from right to left.
2
Start on the LEFT: Compare greatest place value column first.
3
Find first difference: Move right until digits are not equal.
4
Justify with units: State reason using place value language.
Worked Example 74,812 vs 74,395
TTh Th H T O
7 4 8 1 2
7 4 3 9 5
Ten Thousands (7=7) • Thousands (4=4)
8 Hundreds > 3 Hundreds
74,812 > 74,395
3. Ordering Sets of Multi-Digit Numbers
Rule: Count Digits First!
Least to Greatest (Ascending)
Smallest value to largest value using (<):
18,450 < 23,190 < 23,800 < 94,000
Greatest to Least (Descending)
Largest value to smallest value using (>):
94,000 > 23,800 > 23,190 > 18,450
Student Notebook Practice
Standards NC.4.NBT.2 & NC.4.NBT.7 • Show Your Work
Name:
Date: Score:
NC.4.NBT.2: Read/write multi-digit numbers up to 100,000.
NC.4.NBT.7: Compare multi-digit numbers up to 100,000.
A Part A: Number Forms & Expanded Notation (NC.4.NBT.2) 4 Points
1. Fill in the missing unit multipliers for the number 59,407:
59,407 = (5 × 10,000) + (9 × ) + (4 × ) + (7 × )
2. Write “Sixty-three thousand, five hundred twelve” in standard base-ten numeral form:
Standard Form:
3. Write the expanded form (sum of values) for the number 72,084:
Answer:
B Part B: Compare Using >, =, or < (NC.4.NBT.7) 4 Points
Problem 4:
52,819 52,901
Problem 5:
80,400 8,400
Problem 6:
(6 × 10k) + 300 60,300
Problem 7:
94,520 94,502
C Part C: Ordering & Place Value Reasoning 2 Points
8. Order from LEAST to GREATEST: 34,120 • 3,412 • 34,210 • 31,420
< < <
9. Explain why 75,320 > 73,999 using place value words:
Because in the thousands place, is greater than .
