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 need to first identify the place value and then look at the digit immediately to the right of it. If that digit is 5 or greater, we round the underlined digit up by 1. If it’s less than 5, we leave the underlined digit as it is and change all digits to the right to zero or remove them if rounding to decimal places.
Let’s break down each number:
For the large numbers:
- 4,725,806 – Let’s assume the underlined digit is in the hundousands place (second digit from the left):
- 4,725,806 rounds to 4,700,000 because the next digit (2) is less than 5, so the 7 stays the same, and all digits to the right become zero.
- 165,023,912 – Let’s assume the underlined digit is in the millions place (7th digit from the left):
- 165,023,912 rounds to 165,000,000 because the next digit (0) is less than 5, so the 2 becomes a 0, and everything to the right is replaced with zeros.
- 489,334,209 – Assuming the underlined digit is in the millions place (5th digit from the left):
- 489,334,209 rounds to 489,000,000 because the next digit (3) is less than 5, so the 3 becomes a 0, and the rest is replaced with zeros.
- 324,650 – Assuming the underlined digit is in the thousands place (4th digit from the left):
- 324,650 rounds to 325,000 because the next digit (6) is 5 or greater, so we round up to 325,000.
- 8,237,650 – Assuming the underlined digit is in the millions place (2nd digit from the left):
- 8,237,650 rounds to 8,200,000 because the next digit (3) is less than 5, so the 2 remains the same, and all digits to the right become zero.
For the decimal numbers:
- 7.049 – Let’s assume the underlined digit is in the tenths place (1st digit after the decimal point):
- 7.049 rounds to 7.0 because the next digit (4) is less than 5, so the 0 stays, and everything to the right becomes 0.
- 18.692 – Let’s assume the underlined digit is in the hundredths place (2nd digit after the decimal):
- 18.692 rounds to 18.69 because the next digit (2) is less than 5, so the 2 stays, and everything after it is removed.
- 32.6 – Let’s assume the underlined digit is in the tenths place (1st digit after the decimal):
- 32.6 rounds to 33 because the next digit (6) is greater than 5, so we round up to the nearest whole number.
- 32.073 – Let’s assume the underlined digit is in the hundredths place (2nd digit after the decimal):
- 32.073 rounds to 32.07 because the next digit (3) is less than 5, so the 3 stays, and everything after it is removed.
- 0.94563 – Let’s assume the underlined digit is in the thousandths place (3rd digit after the decimal):
- 0.94563 rounds to 0.946 because the next digit (6) is 5 or greater, so we round up to 0.946.
Summary of Rounded Numbers:
- 4,725,806 → 4,700,000
- 165,023,912 → 165,000,000
- 489,334,209 → 489,000,000
- 324,650 → 325,000
- 8,237,650 → 8,200,000
- 7.049 → 7.0
- 18.692 → 18.69
- 32.6 → 33
- 32.073 → 32.07
- 0.94563 → 0.946
Rounding helps simplify numbers for ease of calculation or when an approximation is sufficient. Always remember the rule about rounding up when the next digit is 5 or more!
