Select all the true statements. Find the factor pairs for the number.

• A) 0.029 is $\frac{1}{10}$ of 2.90.
  • $2.90 \div 10 = 0.29$. Since $0.029 \neq 0.29$, this statement is false.
• B) 0.029 is $\frac{1}{100}$ of 2.90.
  • $2.90 \div 100 = 0.029$. This statement is true.
• C) 2.90 is 10 times as great as 0.029.
  • $0.029 \times 10 = 0.29$. Since $2.90 \neq 0.29$, this statement is false.
• D) 0.029 is 100 times as great as 0.029.
  • $0.029 \times 100 = 2.9$. Since $0.029 \neq 2.9$, this statement is false.
• E) 2.90 is 100 times as great as 0.029.
  • $0.029 \times 100 = 2.9$. This statement is true.

The true statements are $\boxed{\text{B and E}}$.

10. Adapt a Procedure Complete each statement. Explain your procedure.

• Statement 1: $\boxed{\text{2780}}$ is 1,000 times as great as 2.78.

  • Procedure: To find a number 1,000 times as great, multiply 2.78 by 1,000. This shifts the decimal point three places to the right.
  $$2.78 \times 1,000 = 2780$$

• Statement 2: $\boxed{\text{27800}}$ is 10,000 times as great as 2.78.

  • Procedure: To find a number 10,000 times as great, multiply 2.78 by 10,000. This shifts the decimal point four places to the right.
  $$2.78 \times 10,000 = 27800$$

• Statement 3: $\boxed{\text{0.027}}$ is $\frac{1}{1,000}$ of 27.

  • Procedure: To find a number that is $\frac{1}{1,000}$ of 27, divide 27 by 1,000. This shifts the decimal point three places to the left.
  $$27 \div 1,000 = 0.027$$

• Statement 4: $\boxed{\text{0.0027}}$ is $\frac{1}{10,000}$ of 27.

  • Procedure: To find a number that is $\frac{1}{10,000}$ of 27, divide 27 by 10,000. This shifts the decimal point four places to the left.
  $$27 \div 10,000 = 0.0027$$

11. Model Real Life Two baseball players have batting averages of 0.362 and 0.325. How do the values of the 2s in the batting averages compare?

The '2' is in the thousandths place, so its value is 0.002.

The '2' is in the hundredths place, so its value is 0.02.

The value of the '2' in 0.325 (0.02) is $\boxed{\text{10 times as great as}}$ the value of the '2' in 0.362 (0.002).

12. Model Real Life How do the values of the 5s in the puffin weights compare?

The '5' is in the tenths place, so its value is 0.5.

The '5' is in the ones place, so its value is 5.

The value of the '5' in the Tufted puffin's weight (5) is $\boxed{\text{10 times as great as}}$ the value of the '5' in the Atlantic puffin's weight (0.5).

13. How do the values of the 7s in the puffin weights compare?

The '7' is in the ones place, so its value is 7.

The '7' is in the hundredths place, so its value is 0.07.

The value of the '7' in the Atlantic puffin's weight (7) is $\boxed{\text{100 times as great as}}$ the value of the '7' in the Tufted puffin's weight (0.07).

Review & Refresh

14. Find the factor pairs for the number 9.

• $1 \times 9 = 9$
• $3 \times 3 = 9$ The factor pairs for 9 are $\boxed{(1, 9), (3, 3)}$.

15. Find the factor pairs for the number 24.

• $1 \times 24 = 24$
• $2 \times 12 = 24$
• $3 \times 8 = 24$
• $4 \times 6 = 24$ The factor pairs for 24 are $\boxed{(1, 24), (2, 12), (3, 8), (4, 6)}$.

16. Find the factor pairs for the number 15.

• $1 \times 15 = 15$
• $3 \times 5 = 15$ The factor pairs for 15 are $\boxed{(1, 15), (3, 5)}$.