Question

A number has the digits 0, 9, 7, 0, and 2. To the nearest thousand, it rounds to 30,000. What is the number? Explain.

a) 30,119
b) 29,720
c) 30,159
d) 29,590

Answer 1

The correct number that has the digits 0, 9, 7, 0, and 2, and rounds to 30,000 to the nearest thousand is 29,720, since the hundreds place is 7, implicating a round up, and it uses all the required digits.

Step-by-step explanation:

The question asks us to determine which number, composed of the digits 0, 9, 7, 0, and 2, rounds to 30,000 when rounded to the nearest thousand. To round to the nearest thousand, we look at the hundreds place. If it is 5 or more, we round up. If it is less than 5, we round down. Looking at the options given:

• 29,720: The digit in the hundreds place is 7, so when rounding to the nearest thousand, this number would round up to 30,000.
• 30,119: This number is already above 30,000, so it would not round down.
• 30,159: Similarly, this number is also above 30,000 and would not round down.
• 29,590: The digit in the hundreds place is 5, so this number would also round up to 30,000.

However, since we want the exact number that rounds to 30,000 and only one option can be correct, 29,720 is the only number that uses the required digits (0, 9, 7, 0, and 2) and the only number where the thousands digit changes from 9 to 10 when rounded to the nearest thousand.