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Decimals in Standard and Expanded Form Worksheets - Free Printable

Decimals in Standard and Expanded Form Worksheets

Educational worksheet: Decimals in Standard and Expanded Form Worksheets. Download and print for classroom or home learning activities.

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ID: #1324729
Show Answer Key & Explanations Step-by-step solution for: Decimals in Standard and Expanded Form Worksheets
The task involves converting given expressions into their standard form. Standard form refers to writing numbers in a simplified, decimal format without any additional operations or fractions.

Problem Breakdown and Solution:



#### 1) \( 500 + 90 + 0.2 \)
- Add the numbers directly:
\[
500 + 90 = 590
\]
\[
590 + 0.2 = 590.2
\]
- Answer: \( 590.2 \)

#### 2) \( 10 + 2 + 0.7 + 0.04 \)
- Add the numbers step by step:
\[
10 + 2 = 12
\]
\[
12 + 0.7 = 12.7
\]
\[
12.7 + 0.04 = 12.74
\]
- Answer: \( 12.74 \)

#### 3) \( 7 + 0.8 + 0.09 + 0.003 \)
- Add the numbers step by step:
\[
7 + 0.8 = 7.8
\]
\[
7.8 + 0.09 = 7.89
\]
\[
7.89 + 0.003 = 7.893
\]
- Answer: \( 7.893 \)

#### 4) \( 400 + 60 + 5 + 0.001 \)
- Add the numbers step by step:
\[
400 + 60 = 460
\]
\[
460 + 5 = 465
\]
\[
465 + 0.001 = 465.001
\]
- Answer: \( 465.001 \)

#### 5) \( 9 + 5 + 0.04 \)
- Add the numbers step by step:
\[
9 + 5 = 14
\]
\[
14 + 0.04 = 14.04
\]
- Answer: \( 14.04 \)

#### 6) \( 200 + 30 + 0.4 + 0.05 \)
- Add the numbers step by step:
\[
200 + 30 = 230
\]
\[
230 + 0.4 = 230.4
\]
\[
230.4 + 0.05 = 230.45
\]
- Answer: \( 230.45 \)

#### 7) \( 100 + 8 + 0.7 + 0.03 \)
- Add the numbers step by step:
\[
100 + 8 = 108
\]
\[
108 + 0.7 = 108.7
\]
\[
108.7 + 0.03 = 108.73
\]
- Answer: \( 108.73 \)

#### 8) \( 50 - 6 + 0.9 + 0.02 + 0.004 \)
- Perform the subtraction and addition step by step:
\[
50 - 6 = 44
\]
\[
44 + 0.9 = 44.9
\]
\[
44.9 + 0.02 = 44.92
\]
\[
44.92 + 0.004 = 44.924
\]
- Answer: \( 44.924 \)

#### 9) \( 8 + 0.1 \)
- Add the numbers:
\[
8 + 0.1 = 8.1
\]
- Answer: \( 8.1 \)

#### 10) \( 3 + 0.8 + 0.06 + 0.002 \)
- Add the numbers step by step:
\[
3 + 0.8 = 3.8
\]
\[
3.8 + 0.06 = 3.86
\]
\[
3.86 + 0.002 = 3.862
\]
- Answer: \( 3.862 \)

#### 11) \( 90 + 1 + 0.4 \)
- Add the numbers step by step:
\[
90 + 1 = 91
\]
\[
91 + 0.4 = 91.4
\]
- Answer: \( 91.4 \)

#### 12) \( 600 + 20 + 5 + 0.09 \)
- Add the numbers step by step:
\[
600 + 20 = 620
\]
\[
620 + 5 = 625
\]
\[
625 + 0.09 = 625.09
\]
- Answer: \( 625.09 \)

Final Answers:


\[
\boxed{
\begin{array}{ll}
1) & 590.2 \\
2) & 12.74 \\
3) & 7.893 \\
4) & 465.001 \\
5) & 14.04 \\
6) & 230.45 \\
7) & 108.73 \\
8) & 44.924 \\
9) & 8.1 \\
10) & 3.862 \\
11) & 91.4 \\
12) & 625.09 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimals in word form worksheet.
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