6Rounding and Estimation

Rounding and Estimation

Solution & Explanation · ID: B9AA7704

Question

Round 7,812 to the nearest thousand.

Hint

Look at the hundreds digit to decide whether to round up or down.

Concept

To round to the nearest thousand, look at the hundreds digit. If it's 5 or greater, round up. If it's less than 5, round down.

Show Answer

8,000

Show Solution
1

Identify the number: 7,812

2

Look at the hundreds digit (the digit to the right of the thousands place): 8

3

Since 8 ≥ 5, round up the thousands digit from 7 to 8

4

Replace all digits to the right of the thousands place with zeros: 8,000

Number line showing 7,812 positioned between 7,000 and 8,000. The number 7,812 is marked with an arrow pointing to 8,000, showing it rounds up because the hundreds digit 8 is highlighted in red. The thousands place transitions from 7 to 8.