Round each number to the place of the underlined digit: 4,725,806 165,023,912 = 489,334,209 324,650 8,237,650 Round each number to the place of the underlined digit: 7.049 18.692 32.6 = 32.073 0.94563
The Correct Answer and Explanation is:
To round numbers to the place of the underlined digit, we follow a specific rule: we observe the digit to the immediate right of the underlined digit (the rounding digit). If this next digit is 5 or greater, we round the underlined digit up by one. If it’s less than 5, we leave the underlined digit as is and change all digits to the right of it to zero.
Let’s apply this rule to each case.
1. 4,725,806
- The underlined digit is 7 in the thousands place (4,725,706).
- The digit to the right is 2.
- Since 2 is less than 5, we keep the 7 and change all digits to the right to zero.
- Rounded: 4,700,000
2. 165,023,912
- The underlined digit is 2 in the hundreds place (165,023,912).
- The digit to the right is 3.
- Since 3 is less than 5, we leave the 2 as it is and turn all digits after it to zero.
- Rounded: 165,020,000
3. 489,334,209
- The underlined digit is 4 in the hundred million place (489,334,209).
- The digit to the right is 8.
- Since 8 is greater than 5, we round the 8 up to 9 and change all digits after it to zero.
- Rounded: 490,000,000
4. 324,650
- The underlined digit is 4 in the thousands place (324,650).
- The digit to the right is 6.
- Since 6 is greater than 5, we round the 4 up to 5 and change all digits after it to zero.
- Rounded: 325,000
5. 8,237,650
- The underlined digit is 3 in the hundred thousands place (8,237,650).
- The digit to the right is 7.
- Since 7 is greater than 5, we round the 2 up to 3 and change all digits after it to zero.
- Rounded: 8,300,000
6. 7.049
- The underlined digit is 0 in the tenths place (7.049).
- The digit to the right is 4.
- Since 4 is less than 5, we leave the 0 as it is and change all digits to the right to zero.
- Rounded: 7.0
7. 18.692
- The underlined digit is 6 in the hundredths place (18.692).
- The digit to the right is 9.
- Since 9 is greater than 5, we round the 6 up to 7 and change all digits after it to zero.
- Rounded: 18.70
8. 32.6
- The underlined digit is 3 in the tens place (32.6).
- The digit to the right is 2.
- Since 2 is less than 5, we leave the 3 as it is and change all digits to the right to zero.
- Rounded: 30
9. 32.073
- The underlined digit is 0 in the hundredths place (32.073).
- The digit to the right is 7.
- Since 7 is greater than 5, we round the 0 up to 1 and change all digits after it to zero.
- Rounded: 32.10
10. 0.94563
- The underlined digit is 9 in the tenths place (0.94563).
- The digit to the right is 4.
- Since 4 is less than 5, we leave the 9 as it is and change all digits to the right to zero.
- Rounded: 0.9
Summary:
- 4,725,806 → 4,700,000
- 165,023,912 → 165,020,000
- 489,334,209 → 490,000,000
- 324,650 → 325,000
- 8,237,650 → 8,300,000
- 7.049 → 7.0
- 18.692 → 18.70
- 32.6 → 30
- 32.073 → 32.10
- 0.94563 → 0.9
Rounding helps simplify numbers and make them easier to handle in various calculations. It’s particularly useful in situations where extreme precision isn’t necessary, like in everyday measurements or when approximating large quantities.
