Math Review Part 1: Place Value and Rounding | Worksheet ... - Free Printable

To solve the problems in the image, let's go through each section step by step.

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Section 1: Write the missing value in the following numbers.

#### Problem 1:
\[ 20,000 + 7 + 100,000 = \_\_\_\_ + 900 + 200 = 128,297 \]

- First, calculate the left side:
\[
20,000 + 7 + 100,000 = 120,007
\]
- Now, rewrite the equation:
\[
120,007 = \_\_\_\_ + 900 + 200
\]
- Combine the constants on the right:
\[
900 + 200 = 1100
\]
- So the equation becomes:
\[
120,007 = \_\_\_\_ + 1100
\]
- Solve for the missing value:
\[
\_\_\_\_ = 120,007 - 1100 = 118,907
\]

Answer:
\[
\boxed{118,907}
\]

#### Problem 2:
\[ 30,000 + 7,000 + 400 + 50 = \_\_\_\_ \]

- Add the numbers step by step:
\[
30,000 + 7,000 = 37,000
\]
\[
37,000 + 400 = 37,400
\]
\[
37,400 + 50 = 37,450
\]

Answer:
\[
\boxed{37,450}
\]

#### Problem 3:
\[ 9,000 + 800 = \_\_\_\_ + 20 = 590,020 \]

- First, calculate the left side:
\[
9,000 + 800 = 9,800
\]
- Now, rewrite the equation:
\[
9,800 = \_\_\_\_ + 20
\]
- Solve for the missing value:
\[
\_\_\_\_ = 9,800 - 20 = 9,780
\]

Answer:
\[
\boxed{9,780}
\]

#### Problem 4:
\[ 700 + 900,000 = \_\_\_\_ + 9 = 900,709 \]

- First, calculate the left side:
\[
700 + 900,000 = 900,700
\]
- Now, rewrite the equation:
\[
900,700 = \_\_\_\_ + 9
\]
- Solve for the missing value:
\[
\_\_\_\_ = 900,700 - 9 = 900,691
\]

Answer:
\[
\boxed{900,691}
\]

---

Section 2: Round the number to the nearest underlined digit.

#### Problem 5:
\[ 9,662 \quad \text{(underline: 6)} \]

- The underlined digit is 6, and we look at the digit to its right (6).
- Since 6 is 5 or greater, we round up.
- Rounding 9,662 to the nearest hundred gives:
\[
9,700
\]

Answer:
\[
\boxed{9,700}
\]

#### Problem 6:
\[ 209,899 \quad \text{(underline: 8)} \]

- The underlined digit is 8, and we look at the digit to its right (9).
- Since 9 is 5 or greater, we round up.
- Rounding 209,899 to the nearest thousand gives:
\[
210,000
\]

Answer:
\[
\boxed{210,000}
\]

#### Problem 7:
\[ 71,515 \quad \text{(underline: 5)} \]

- The underlined digit is 5, and we look at the digit to its right (1).
- Since 1 is less than 5, we do not round up.
- Rounding 71,515 to the nearest ten thousand gives:
\[
70,000
\]

Answer:
\[
\boxed{70,000}
\]

#### Problem 8:
\[ 9,999,000 \quad \text{(underline: 9)} \]

- The underlined digit is 9, and we look at the digit to its right (9).
- Since 9 is 5 or greater, we round up.
- Rounding 9,999,000 to the nearest million gives:
\[
10,000,000
\]

Answer:
\[
\boxed{10,000,000}
\]

---

Section 3: Compare the two numbers in each problem. Write <, >, or = in the circle.

#### Problem 9:
\[ 375,001 \quad \text{and} \quad 371,923 \]

- Compare the numbers:
\[
375,001 > 371,923
\]

Answer:
\[
\boxed{>}
\]

#### Problem 10:
\[ 7,999 \quad \text{and} \quad 8,001 \]

- Compare the numbers:
\[
7,999 < 8,001
\]

Answer:
\[
\boxed{<}
\]

#### Problem 11:
\[ 120,001 \quad \text{and} \quad 120,000 \]

- Compare the numbers:
\[
120,001 > 120,000
\]

Answer:
\[
\boxed{>}
\]

#### Problem 12:
\[ 51,228 \quad \text{and} \quad 51,208 \]

- Compare the numbers:
\[
51,228 > 51,208
\]

Answer:
\[
\boxed{>}
\]

---

Section 4: Find the sum or difference of each problem.

#### Problem 13:
\[ 6,579 \]
\[ + 559 \]
\[ \_\_\_\_ \]

- Add the numbers:
\[
6,579 + 559 = 7,138
\]

Answer:
\[
\boxed{7,138}
\]

#### Problem 14:
\[ 198,036 \]
\[ - 9,264 \]
\[ \_\_\_\_ \]

- Subtract the numbers:
\[
198,036 - 9,264 = 188,772
\]

Answer:
\[
\boxed{188,772}
\]

#### Problem 15:
\[ 150,001 \]
\[ - 19,827 \]
\[ \_\_\_\_ \]

- Subtract the numbers:
\[
150,001 - 19,827 = 130,174
\]

Answer:
\[
\boxed{130,174}
\]

#### Problem 16:
\[ 925,623 \]
\[ - 893 \]
\[ \_\_\_\_ \]

- Subtract the numbers:
\[
925,623 - 893 = 924,730
\]

Answer:
\[
\boxed{924,730}
\]

---

Section 5: Write the value of the underlined digit.

#### Problem 17:
\[ 19,127,211 \quad \text{(underline: 2)} \]

- The underlined digit is 2, which is in the ten-thousands place.
- The value of 2 in the ten-thousands place is:
\[
2 \times 10,000 = 20,000
\]

Answer:
\[
\boxed{20,000}
\]

#### Problem 18:
\[ 201,920,000 \quad \text{(underline: 9)} \]

- The underlined digit is 9, which is in the millions place.
- The value of 9 in the millions place is:
\[
9 \times 1,000,000 = 9,000,000
\]

Answer:
\[
\boxed{9,000,000}
\]

#### Problem 19:
\[ 271,859,250 \quad \text{(underline: 8)} \]

- The underlined digit is 8, which is in the ten-thousands place.
- The value of 8 in the ten-thousands place is:
\[
8 \times 10,000 = 80,000
\]

Answer:
\[
\boxed{80,000}
\]

---

Section 6: Order from least to greatest.

#### Problem 20:
\[ 9,934, 9,938, 9,934 \]

- Arrange in ascending order:
\[
9,934, 9,934, 9,938
\]

Answer:
\[
\boxed{9,934, 9,934, 9,938}
\]

#### Problem 21:
\[ 23,701,020, 26,999, 27,009 \]

- Arrange in ascending order:
\[
26,999, 27,009, 23,701,020
\]

Answer:
\[
\boxed{26,999, 27,009, 23,701,020}
\]

---

Section 7: Write the following numbers in expanded and word form.

#### Problem 22:
\[ \text{Standard: } 89,207 \]

- Expanded form:
\[
80,000 + 9,000 + 200 + 7
\]

- Word form:
\[
\text{Eighty-nine thousand, two hundred seven}
\]

Answers:
\[
\boxed{80,000 + 9,000 + 200 + 7, \text{Eighty-nine thousand, two hundred seven}}
\]

#### Problem 23:
\[ \text{Standard: } 211,056 \]

- Expanded form:
\[
200,000 + 10,000 + 1,000 + 50 + 6
\]

- Word form:
\[
\text{Two hundred eleven thousand, fifty-six}
\]

Answers:
\[
\boxed{200,000 + 10,000 + 1,000 + 50 + 6, \text{Two hundred eleven thousand, fifty-six}}
\]

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Final Answer:

\[
\boxed{\text{See detailed solutions above.}}
\]