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5th Grade Place Value Worksheets - Free Printable

5th Grade Place Value Worksheets

Educational worksheet: 5th Grade Place Value Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: 5th Grade Place Value Worksheets

Problem Overview:


The task involves using place value to determine the numbers shown in the worksheet. The numbers are broken down into their respective place values (ones, tenths, hundredths, thousandths), and we need to combine them to form the complete number.

Solution Approach:


1. Identify Place Values: Each part of the number is given in terms of its place value (e.g., ones, tenths, hundredths, thousandths).
2. Sum the Components: Add all the components together to form the complete number.
3. Apply to Each Question: Repeat this process for each question in the worksheet.

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Detailed Solutions:



#### Section 1: Questions 1 to 9

##### Question 1 (Already Solved):
- Components: \(5\), \(0.7\), \(0.03\), \(0.002\)
- Calculation: \(5 + 0.7 + 0.03 + 0.002 = 5.732\)
- Answer: \(5.732\)

##### Question 2:
- Components: \(0.001\), \(0.06\), \(2\), \(0.3\)
- Calculation: \(0.001 + 0.06 + 2 + 0.3 = 2.361\)
- Answer: \(2.361\)

##### Question 3:
- Components: \(6\), \(0.008\), \(0.01\), \(0.5\)
- Calculation: \(6 + 0.008 + 0.01 + 0.5 = 6.518\)
- Answer: \(6.518\)

##### Question 4:
- Components: \(1\), \(0.6\), \(0.002\), \(0.04\)
- Calculation: \(1 + 0.6 + 0.002 + 0.04 = 1.642\)
- Answer: \(1.642\)

##### Question 5:
- Components: \(4\), \(0.1\), \(0.003\), \(0.09\)
- Calculation: \(4 + 0.1 + 0.003 + 0.09 = 4.193\)
- Answer: \(4.193\)

##### Question 6:
- Components: \(0.003\), \(0.7\), \(0.04\)
- Calculation: \(0.003 + 0.7 + 0.04 = 0.743\)
- Answer: \(0.743\)

##### Question 7:
- Components: \(7\), \(0.8\), \(0.04\)
- Calculation: \(7 + 0.8 + 0.04 = 7.84\)
- Answer: \(7.840\) (Note: We write it as 3 decimal places)

##### Question 8:
- Components: \(0.8\), \(0.02\), \(0.003\)
- Calculation: \(0.8 + 0.02 + 0.003 = 0.823\)
- Answer: \(0.823\)

##### Question 9:
- Components: \(0.004\), \(5\), \(0.02\), \(0.6\)
- Calculation: \(0.004 + 5 + 0.02 + 0.6 = 5.624\)
- Answer: \(5.624\)

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#### Section 2: Questions 11 to 18

##### Question 11:
- Components: \(9\) ones, \(8\) tenths, \(2\) hundredths, \(1\) thousandth
- Calculation: \(9 + 0.8 + 0.02 + 0.001 = 9.821\)
- Answer: \(9.821\)

##### Question 12:
- Components: \(5\) ones, \(4\) tenths, \(3\) hundredths, \(2\) thousandths
- Calculation: \(5 + 0.4 + 0.03 + 0.002 = 5.432\)
- Answer: \(5.432\)

##### Question 13:
- Components: \(7\) ones, \(1\) hundredth
- Calculation: \(7 + 0.01 = 7.01\)
- Answer: \(7.010\) (Note: We write it as 3 decimal places)

##### Question 14:
- Components: \(5\) tenths, \(3\) hundredths, \(2\) thousandths
- Calculation: \(0.5 + 0.03 + 0.002 = 0.532\)
- Answer: \(0.532\)

##### Question 15:
- Components: \(3\) tenths, \(2\) hundredths, \(9\) thousandths
- Calculation: \(0.3 + 0.02 + 0.009 = 0.329\)
- Answer: \(0.329\)

##### Question 16:
- Components: \(2\) ones, \(5\) tenths, \(8\) hundredths, \(3\) thousandths
- Calculation: \(2 + 0.5 + 0.08 + 0.003 = 2.583\)
- Answer: \(2.583\)

##### Question 17:
- Components: \(3\) ones, \(2\) tenths, \(8\) thousandths
- Calculation: \(3 + 0.2 + 0.008 = 3.208\)
- Answer: \(3.208\)

##### Question 18:
- Components: \(42\) ones, \(3\) hundredths, \(7\) thousandths
- Calculation: \(42 + 0.03 + 0.007 = 42.037\)
- Answer: \(42.037\)

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Final Answers:


\[
\boxed{
\begin{array}{ll}
2) & 2.361 \\
3) & 6.518 \\
4) & 1.642 \\
5) & 4.193 \\
6) & 0.743 \\
7) & 7.840 \\
8) & 0.823 \\
9) & 5.624 \\
11) & 9.821 \\
12) & 5.432 \\
13) & 7.010 \\
14) & 0.532 \\
15) & 0.329 \\
16) & 2.583 \\
17) & 3.208 \\
18) & 42.037 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of place value worksheet with decimals for 5th grade.
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