Math Skill: Relative Place Value
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Relative Place Value

A number can be expressed as
34,659 = 30,000 + 4,000 + 600 + 50 + 9
The value of a digit increases as you move to the left.
The place value of each digit is 10 times the place value of the digit to its right.
 The 3 in 34,659 is greater than the 4 in 34,659 because 30,000 > 4,000 The 4 in 34,659 is greater than the 6 in 34,659 because 4,000 > 600 The 6 in 34,659 is greater than the 5 in 34,659 because 600 > 50 The 5 in 34,659 is greater than the 9 in 34,659 because 50 > 9

Example 1: Identifying values

Type the value of the red digit. Example: 4,384 = 4,000
1.   192,960
In the expanded form, 192,960 = 100,000 + 90,000 + 2,000 + 900 + 60 + 0
So the value is 90,000.

2.   3,287
In the expanded form, 3,287 = 3,000 + 200 + 80 + 7
So the value is 3,000.

Example 2: Relative place value

1.   486,690   542,410
The blue digit is the red digit.

The 4 in 486,690 has a value of 400,000.
The 4 in 542,410 has a value of 40,000.

400,000 is 10 times 40,000.
400,000 = 10 × 40,000

2.   835,915   590,251
The blue digit is the red digit.

The 5 in 835,915 has a value of 5.
The 5 in 590,251 has a value of 50.

5 is 1/10 of 50.
5 = 1/10 × 50

### Complexity=3

Type the value of the red digit. Example: 4,384 = 4,000
 1 393530304 2 229695958

### Complexity=6

Type the value of the red digit. Example: 4,384 = 4,000
 1 792,681576,848568,007 2 272,483625,890438,198

### Complexity=6, Mode=rel

 1.   203,544   993,340 The blue digit is - - - 10 times 1/10 of the red digit. 2.   518,318   748,818 The blue digit is - - - 10 times 1/10 of the red digit.

### Complexity=9, Mode=rel

 1.   955,634,860   653,918,367 The blue digit is - - - 10 times 1/10 of the red digit. 2.   182,619,901   952,402,413 The blue digit is - - - 10 times 1/10 of the red digit.

### Complexity=3

Type the value of the red digit. Example: 4,384 = 4,000
1393
530
304

2229
695
958

### Complexity=6

Type the value of the red digit. Example: 4,384 = 4,000
1792,681
576,848
568,007

2272,483
625,890
438,198

### Complexity=6, Mode=rel

1203,544   993,340
The blue digit is the red digit.
Solution
The 3 in 203,544 has a value of 3,000.
The 3 in 993,340 has a value of 300.

3,000 is 10 times 300.
3,000 = 10 × 300

2518,318   748,818
The blue digit is the red digit.
Solution
The 8 in 518,318 has a value of 8,000.
The 8 in 748,818 has a value of 800.

8,000 is 10 times 800.
8,000 = 10 × 800

### Complexity=9, Mode=rel

1955,634,860   653,918,367
The blue digit is the red digit.
Solution
The 5 in 955,634,860 has a value of 5,000,000.
The 5 in 653,918,367 has a value of 50,000,000.

5,000,000 is 1/10 of 50,000,000.
5,000,000 = 1/10 × 50,000,000