Place Value Worksheets | Place Value Worksheets for Practice - Free Printable
Educational worksheet: Place Value Worksheets | Place Value Worksheets for Practice. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets | Place Value Worksheets for Practice
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Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets | Place Value Worksheets for Practice
Let’s solve each problem step by step.
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Part 1: Write each number in expanded notation using decimals.
Expanded notation means breaking the number into its place values — hundreds, tens, ones, tenths, hundredths — and writing them as multiplication expressions added together.
For example:
566.63 = (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
We’ll do this for all 10 numbers.
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1) 566.63
= (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
2) 851.18
= (8 × 100) + (5 × 10) + (1 × 1) + (1 × 0.1) + (8 × 0.01)
3) 783.62
= (7 × 100) + (8 × 10) + (3 × 1) + (6 × 0.1) + (2 × 0.01)
4) 416.82
= (4 × 100) + (1 × 10) + (6 × 1) + (8 × 0.1) + (2 × 0.01)
5) 842.74
= (8 × 100) + (4 × 10) + (2 × 1) + (7 × 0.1) + (4 × 0.01)
6) 244.60
Note: The last digit is 0, so we still write it!
= (2 × 100) + (4 × 10) + (4 × 1) + (6 × 0.1) + (0 × 0.01)
7) 120.77
= (1 × 100) + (2 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
8) 866.57
= (8 × 100) + (6 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
9) 145.36
= (1 × 100) + (4 × 10) + (5 × 1) + (3 × 0.1) + (6 × 0.01)
10) 426.57
= (4 × 100) + (2 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
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Part 2: Write each number in standard form.
This means adding up the parts to get the regular number.
Example:
(9 × 100) + (7 × 10) + (6 × 1) + (9 × 0.1) + (7 × 0.01)
= 900 + 70 + 6 + 0.9 + 0.07 = 976.97
Let’s compute each one:
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11) (9 × 100) + (7 × 10) + (6 × 1) + (9 × 0.1) + (7 × 0.01)
= 900 + 70 + 6 + 0.9 + 0.07 = 976.97
12) (5 × 100) + (5 × 10) + (5 × 1) + (5 × 0.1) + (1 × 0.01)
= 500 + 50 + 5 + 0.5 + 0.01 = 555.51
13) (5 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (0 × 0.01)
= 500 + 40 + 4 + 0.3 + 0 = 544.30
14) (1 × 100) + (1 × 10) + (4 × 1) + (7 × 0.1) + (9 × 0.01)
= 100 + 10 + 4 + 0.7 + 0.09 = 114.79
15) (2 × 100) + (2 × 10) + (0 × 1) + (4 × 0.1) + (9 × 0.01)
= 200 + 20 + 0 + 0.4 + 0.09 = 220.49
16) (4 × 100) + (4 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
= 400 + 40 + 0 + 0.7 + 0.07 = 440.77
17) (4 × 100) + (6 × 10) + (3 × 1) + (4 × 0.1) + (8 × 0.01)
= 400 + 60 + 3 + 0.4 + 0.08 = 463.48
18) (9 × 100) + (7 × 10) + (8 × 1) + (7 × 0.1) + (7 × 0.01)
= 900 + 70 + 8 + 0.7 + 0.07 = 978.77
19) (1 × 100) + (1 × 10) + (8 × 1) + (2 × 0.1) + (7 × 0.01)
= 100 + 10 + 8 + 0.2 + 0.07 = 118.27
20) (9 × 100) + (5 × 10) + (8 × 1) + (5 × 0.1) + (2 × 0.01)
= 900 + 50 + 8 + 0.5 + 0.02 = 958.52
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Final Answer:
1) (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
2) (8 × 100) + (5 × 10) + (1 × 1) + (1 × 0.1) + (8 × 0.01)
3) (7 × 100) + (8 × 10) + (3 × 1) + (6 × 0.1) + (2 × 0.01)
4) (4 × 100) + (1 × 10) + (6 × 1) + (8 × 0.1) + (2 × 0.01)
5) (8 × 100) + (4 × 10) + (2 × 1) + (7 × 0.1) + (4 × 0.01)
6) (2 × 100) + (4 × 10) + (4 × 1) + (6 × 0.1) + (0 × 0.01)
7) (1 × 100) + (2 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
8) (8 × 100) + (6 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
9) (1 × 100) + (4 × 10) + (5 × 1) + (3 × 0.1) + (6 × 0.01)
10) (4 × 100) + (2 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
11) 976.97
12) 555.51
13) 544.30
14) 114.79
15) 220.49
16) 440.77
17) 463.48
18) 978.77
19) 118.27
20) 958.52
---
Part 1: Write each number in expanded notation using decimals.
Expanded notation means breaking the number into its place values — hundreds, tens, ones, tenths, hundredths — and writing them as multiplication expressions added together.
For example:
566.63 = (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
We’ll do this for all 10 numbers.
---
1) 566.63
= (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
2) 851.18
= (8 × 100) + (5 × 10) + (1 × 1) + (1 × 0.1) + (8 × 0.01)
3) 783.62
= (7 × 100) + (8 × 10) + (3 × 1) + (6 × 0.1) + (2 × 0.01)
4) 416.82
= (4 × 100) + (1 × 10) + (6 × 1) + (8 × 0.1) + (2 × 0.01)
5) 842.74
= (8 × 100) + (4 × 10) + (2 × 1) + (7 × 0.1) + (4 × 0.01)
6) 244.60
Note: The last digit is 0, so we still write it!
= (2 × 100) + (4 × 10) + (4 × 1) + (6 × 0.1) + (0 × 0.01)
7) 120.77
= (1 × 100) + (2 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
8) 866.57
= (8 × 100) + (6 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
9) 145.36
= (1 × 100) + (4 × 10) + (5 × 1) + (3 × 0.1) + (6 × 0.01)
10) 426.57
= (4 × 100) + (2 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
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Part 2: Write each number in standard form.
This means adding up the parts to get the regular number.
Example:
(9 × 100) + (7 × 10) + (6 × 1) + (9 × 0.1) + (7 × 0.01)
= 900 + 70 + 6 + 0.9 + 0.07 = 976.97
Let’s compute each one:
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11) (9 × 100) + (7 × 10) + (6 × 1) + (9 × 0.1) + (7 × 0.01)
= 900 + 70 + 6 + 0.9 + 0.07 = 976.97
12) (5 × 100) + (5 × 10) + (5 × 1) + (5 × 0.1) + (1 × 0.01)
= 500 + 50 + 5 + 0.5 + 0.01 = 555.51
13) (5 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (0 × 0.01)
= 500 + 40 + 4 + 0.3 + 0 = 544.30
14) (1 × 100) + (1 × 10) + (4 × 1) + (7 × 0.1) + (9 × 0.01)
= 100 + 10 + 4 + 0.7 + 0.09 = 114.79
15) (2 × 100) + (2 × 10) + (0 × 1) + (4 × 0.1) + (9 × 0.01)
= 200 + 20 + 0 + 0.4 + 0.09 = 220.49
16) (4 × 100) + (4 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
= 400 + 40 + 0 + 0.7 + 0.07 = 440.77
17) (4 × 100) + (6 × 10) + (3 × 1) + (4 × 0.1) + (8 × 0.01)
= 400 + 60 + 3 + 0.4 + 0.08 = 463.48
18) (9 × 100) + (7 × 10) + (8 × 1) + (7 × 0.1) + (7 × 0.01)
= 900 + 70 + 8 + 0.7 + 0.07 = 978.77
19) (1 × 100) + (1 × 10) + (8 × 1) + (2 × 0.1) + (7 × 0.01)
= 100 + 10 + 8 + 0.2 + 0.07 = 118.27
20) (9 × 100) + (5 × 10) + (8 × 1) + (5 × 0.1) + (2 × 0.01)
= 900 + 50 + 8 + 0.5 + 0.02 = 958.52
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Final Answer:
1) (5 × 100) + (6 × 10) + (6 × 1) + (6 × 0.1) + (3 × 0.01)
2) (8 × 100) + (5 × 10) + (1 × 1) + (1 × 0.1) + (8 × 0.01)
3) (7 × 100) + (8 × 10) + (3 × 1) + (6 × 0.1) + (2 × 0.01)
4) (4 × 100) + (1 × 10) + (6 × 1) + (8 × 0.1) + (2 × 0.01)
5) (8 × 100) + (4 × 10) + (2 × 1) + (7 × 0.1) + (4 × 0.01)
6) (2 × 100) + (4 × 10) + (4 × 1) + (6 × 0.1) + (0 × 0.01)
7) (1 × 100) + (2 × 10) + (0 × 1) + (7 × 0.1) + (7 × 0.01)
8) (8 × 100) + (6 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
9) (1 × 100) + (4 × 10) + (5 × 1) + (3 × 0.1) + (6 × 0.01)
10) (4 × 100) + (2 × 10) + (6 × 1) + (5 × 0.1) + (7 × 0.01)
11) 976.97
12) 555.51
13) 544.30
14) 114.79
15) 220.49
16) 440.77
17) 463.48
18) 978.77
19) 118.27
20) 958.52
Parent Tip: Review the logic above to help your child master the concept of place value worksheet grade 6.
