Place Value of Decimals Worksheets - 15 Worksheets Library - Free Printable

Problem Overview:

The task involves identifying and underlining the digit in specific decimal place values for a series of numbers. The place values to identify are:

1. Tens place
2. Hundredths place
3. Hundreds place
4. Thousandths place
5. Ten-thousandths place

Each question provides a set of numbers, and we need to underline the digit corresponding to the specified place value.

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Solution Explanation:

#### 1. Underline the digit in tens place:
The tens place is the second digit to the left of the decimal point. If there is no decimal point, it is simply the second digit from the right.

- Example: In the number `27.365`, the digit in the tens place is `2`.

##### Solutions:
- (i) 27.365: Underline `2`
- (ii) 417.26: Underline `1`
- (iii) 7325.5: Underline `2`
- (iv) 4781.369: Underline `8`
- (v) 3254.2: Underline `5`
- (vi) 247.25: Underline `4`
- (vii) 47.369: Underline `4`
- (viii) 147.36: Underline `4`

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#### 2. Underline the digit in hundredths place:
The hundredths place is the second digit to the right of the decimal point.

- Example: In the number `1.368`, the digit in the hundredths place is `6`.

##### Solutions:
- (i) 1.368: Underline `6`
- (ii) 27.236: Underline `3`
- (iii) 47.36: Underline `3`
- (iv) 2.369: Underline `6`
- (v) 471.32: Underline `3`
- (vi) 3.214: Underline `1`
- (vii) 741.32: Underline `3`
- (viii) 147.321: Underline `2`

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#### 3. Underline the digit in hundreds place:
The hundreds place is the third digit to the left of the decimal point.

- Example: In the number `472.3`, the digit in the hundreds place is `4`.

##### Solutions:
- (i) 47.2: Underline `0` (since there is no hundreds place, it is implicitly `0`)
- (ii) 3.369: Underline `0`
- (iii) 12.36: Underline `0`
- (iv) 4.321: Underline `0`
- (v) 471.25: Underline `4`
- (vi) 37.21: Underline `0`
- (vii) 471.32: Underline `4`
- (viii) 123.7: Underline `1`

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#### 4. Underline the digit in thousandths place:
The thousandths place is the third digit to the right of the decimal point.

- Example: In the number `369.425`, the digit in the thousandths place is `5`.

##### Solutions:
- (i) 369.42: Underline `0` (since there is no thousandths place, it is implicitly `0`)
- (ii) 1234.56: Underline `0`
- (iii) 367.36: Underline `0`
- (iv) 213.5: Underline `0`
- (v) 32659.52: Underline `0`
- (vi) 28741.25: Underline `0`
- (vii) 147.36: Underline `0`
- (viii) 369472.3: Underline `0`

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#### 5. Underline the digit in ten-thousandths place:
The ten-thousandths place is the fourth digit to the right of the decimal point.

- Example: In the number `5.3247`, the digit in the ten-thousandths place is `7`.

##### Solutions:
- (i) 5.324: Underline `0` (since there is no ten-thousandths place, it is implicitly `0`)
- (ii) 25.367: Underline `0`
- (iii) 147.5773: Underline `7`
- (iv) 3697.13: Underline `0`
- (v) 36.478: Underline `8`
- (vi) 147.3698: Underline `9`
- (vii) 214.2589: Underline `8`
- (viii) 324.2478: Underline `7`

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#### 6. Underline the digit in ten-thousands place:
The ten-thousands place is the fifth digit to the left of the decimal point.

- Example: In the number `147236.5`, the digit in the ten-thousands place is `4`.

##### Solutions:
- (i) 23.36: Underline `0` (since there is no ten-thousands place, it is implicitly `0`)
- (ii) 47.364: Underline `0`
- (iii) 36.124: Underline `0`
- (iv) 748.25: Underline `0`
- (v) 1472456: Underline `7`
- (vi) 2654.36: Underline `0`
- (vii) 3.36: Underline `0`
- (viii) 4536972: Underline `3`

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Final Answer:

The underlined digits for each part are as follows:

1. Tens place:
- (i) `2`, (ii) `1`, (iii) `2`, (iv) `8`, (v) `5`, (vi) `4`, (vii) `4`, (viii) `4`

2. Hundredths place:
- (i) `6`, (ii) `3`, (iii) `3`, (iv) `6`, (v) `3`, (vi) `1`, (vii) `3`, (viii) `2`

3. Hundreds place:
- (i) `0`, (ii) `0`, (iii) `0`, (iv) `0`, (v) `4`, (vi) `0`, (vii) `4`, (viii) `1`

4. Thousandths place:
- (i) `0`, (ii) `0`, (iii) `0`, (iv) `0`, (v) `0`, (vi) `0`, (vii) `0`, (viii) `0`

5. Ten-thousandths place:
- (i) `0`, (ii) `0`, (iii) `7`, (iv) `0`, (v) `8`, (vi) `9`, (vii) `8`, (viii) `7`

6. Ten-thousands place:
- (i) `0`, (ii) `0`, (iii) `0`, (iv) `0`, (v) `7`, (vi) `0`, (vii) `0`, (viii) `3`

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{1. Tens place: } 2, 1, 2, 8, 5, 4, 4, 4 \\
\text{2. Hundredths place: } 6, 3, 3, 6, 3, 1, 3, 2 \\
\text{3. Hundreds place: } 0, 0, 0, 0, 4, 0, 4, 1 \\
\text{4. Thousandths place: } 0, 0, 0, 0, 0, 0, 0, 0 \\
\text{5. Ten-thousandths place: } 0, 0, 7, 0, 8, 9, 8, 7 \\
\text{6. Ten-thousands place: } 0, 0, 0, 0, 7, 0, 0, 3
\end{array}
}
\]