Decimal Place Value Worksheets - Math Monks - Free Printable

Let's solve each part of the Decimal Place Value Worksheet step by step.

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1) Write each number in expanded form.

We break down each number into its place values: hundreds, tens, ones, tenths, hundredths, etc.

#### a) 673.12
- 6 × 100 = 600
- 7 × 10 = 70
- 3 × 1 = 3
- 1 × 0.1 = 0.1
- 2 × 0.01 = 0.02
So:
673.12 = (6 × 100) + (7 × 10) + (3 × 1) + (1 × 0.1) + (2 × 0.01)

#### b) 866.81
- 8 × 100 = 800
- 6 × 10 = 60
- 6 × 1 = 6
- 8 × 0.1 = 0.8
- 1 × 0.01 = 0.01
So:
866.81 = (8 × 100) + (6 × 10) + (6 × 1) + (8 × 0.1) + (1 × 0.01)

#### c) 244.37
- 2 × 100 = 200
- 4 × 10 = 40
- 4 × 1 = 4
- 3 × 0.1 = 0.3
- 7 × 0.01 = 0.07
So:
244.37 = (2 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (7 × 0.01)

#### d) 130.78
- 1 × 100 = 100
- 3 × 10 = 30
- 0 × 1 = 0
- 7 × 0.1 = 0.7
- 8 × 0.01 = 0.08
So:
130.78 = (1 × 100) + (3 × 10) + (0 × 1) + (7 × 0.1) + (8 × 0.01)

#### e) 145.69
- 1 × 100 = 100
- 4 × 10 = 40
- 5 × 1 = 5
- 6 × 0.1 = 0.6
- 9 × 0.01 = 0.09
So:
145.69 = (1 × 100) + (4 × 10) + (5 × 1) + (6 × 0.1) + (9 × 0.01)

#### f) 429.67
- 4 × 100 = 400
- 2 × 10 = 20
- 9 × 1 = 9
- 6 × 0.1 = 0.6
- 7 × 0.01 = 0.07
So:
429.67 = (4 × 100) + (2 × 10) + (9 × 1) + (6 × 0.1) + (7 × 0.01)

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2) Write each number in standard form.

We add up all the parts to get the full number.

#### a) (7 × 1000) + (2 × 100) + (5 × 10) + (3 × 1) + (9 × 0.1) + (7 × 0.01)
= 7000 + 200 + 50 + 3 + 0.9 + 0.07 = 7253.97

#### b) (4 × 1000) + (0 × 100) + (0 × 10) + (1 × 1) + (3 × 0.1) + (9 × 0.01)
= 4000 + 0 + 0 + 1 + 0.3 + 0.09 = 4001.39

#### c) (5 × 100) + (1 × 10) + (3 × 1) + (2 × 0.1) + (0 × 0.01) + (1 × 0.001)
= 500 + 10 + 3 + 0.2 + 0 + 0.001 = 513.201

#### d) (3 × 1000) + (9 × 100) + (7 × 10) + (8 × 1) + (7 × 0.1) + (7 × 0.01)
= 3000 + 900 + 70 + 8 + 0.7 + 0.07 = 3978.77

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3) Find the missing numbers.

#### a) 0.3 + 0.008 = ?
Add:
0.300 + 0.008 = 0.308

#### b) 4 + 0.067 + ____ = 4.167
Subtract known values:
4.167 - 4 - 0.067 = 0.1
So: 0.1

#### c) ____ + 8 + 0.8 = 8.87
Add knowns: 8 + 0.8 = 8.8
Now: 8.87 - 8.8 = 0.07
So: 0.07

#### d) ____ = 5 + 0.007
= 5.007

#### e) 9.327 = ____ + 9 + 0.007
We know:
9.327 = x + 9 + 0.007
→ x = 9.327 - 9 - 0.007 = 0.32
So: 0.32

Wait! Let’s check:
0.32 + 9 + 0.007 = 9.327 → Yes ✔
But note: 0.32 is actually 0.320, which matches. So correct.

So: 0.32

#### f) 8.392 = 8.002 + ____
Subtract:
8.392 - 8.002 = 0.390

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✔ Final Answers:

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1) Expanded Form:

a) 673.12 = (6 × 100) + (7 × 10) + (3 × 1) + (1 × 0.1) + (2 × 0.01)
b) 866.81 = (8 × 100) + (6 × 10) + (6 × 1) + (8 × 0.1) + (1 × 0.01)
c) 244.37 = (2 × 100) + (4 × 10) + (4 × 1) + (3 × 0.1) + (7 × 0.01)
d) 130.78 = (1 × 100) + (3 × 10) + (0 × 1) + (7 × 0.1) + (8 × 0.01)
e) 145.69 = (1 × 100) + (4 × 10) + (5 × 1) + (6 × 0.1) + (9 × 0.01)
f) 429.67 = (4 × 100) + (2 × 10) + (9 × 1) + (6 × 0.1) + (7 × 0.01)

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2) Standard Form:

a) 7253.97
b) 4001.39
c) 513.201
d) 3978.77

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3) Missing Numbers:

a) 0.308
b) 0.1
c) 0.07
d) 5.007
e) 0.32
f) 0.390

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