Rounding Numbers to the Nearest Thousand
Grade 4 students round numbers to the nearest thousand in Saxon Math Intermediate 4 Chapter 6 by examining the hundreds digit. If the hundreds digit is 5 or more, round the thousands digit up; if it is 4 or less, keep the thousands digit the same. A city with 128,491 residents rounds to 128,000 because the hundreds digit is 4. All digits to the right of the thousands place become zeros. The answer must always end in three zeros (000) to be a true multiple of 1,000.
Key Concepts
Property To round a number to the nearest thousand, you must find which multiple of 1000 the number is closest to, like 1000, 2000, 3000, and so on. A simple way is to check the hundreds digit. If the digit is 5 or more, you round up. If it is 4 or less, you round down.
Example Round 7,836 to the nearest thousand. The hundreds digit is 8, so we round up to 8000. Round 34,186 to the nearest thousand. The hundreds digit is 1, so we round down to 34,000. Round 21,694 to the nearest thousand. The hundreds digit is 6, so we round up to 22,000.
Explanation Rounding to the nearest thousand is like finding the closest major city on a map. Is 7,836 closer to '7000 City' or '8000 City'? The hundreds digit is your guidepost: if it's 5 or more, that means you are over halfway there, so you round up to the next biggest city!
Common Questions
How do you round a number to the nearest thousand?
Look at the hundreds digit (the digit immediately to the right of the thousands place). If it is 5 or more, increase the thousands digit by 1. If it is 4 or less, keep the thousands digit the same. Replace all digits to the right of the thousands place with zeros.
How do you round 128,491 to the nearest thousand?
The thousands digit is 8. The hundreds digit (decision-maker) is 4. Since 4 is less than 5, keep the thousands digit as 8. Replace everything to the right with zeros: 128,000.
What does it mean for an answer to be rounded to the nearest thousand?
The rounded answer must be a multiple of 1,000, ending in three zeros. If your answer does not end in 000, you have not rounded correctly to the nearest thousand.
Why is only the hundreds digit the decision-maker when rounding to thousands?
The hundreds digit is immediately to the right of the thousands place. It tells you whether the original number is closer to the lower thousand or the higher thousand—just like a midpoint, with 500 being the halfway marker.
How do you round 7,836 to the nearest thousand?
Thousands digit is 7. Hundreds digit is 8. Since 8 is 5 or more, round up: 7 becomes 8. Replace remaining digits with zeros. Answer: 8,000.
What is a common mistake when rounding to the nearest thousand?
Looking at only the thousands digit and forgetting the hundreds digit entirely, or replacing only some of the digits with zeros instead of all of them. The answer must end in exactly three zeros.