Rounding (Nearest 1,000 & Beyond)

3,000,000 + 700,000 + 40,000 + 8,000 + 90 + 1

The thousands place and the hundreds place are the same, so we compare the tens place. There is 1 ten in 1,619 and there are 7 tens in 1,673. 7 tens is greater than 1 ten, so 1,673 is greater than 1,619.

I start at the ten thousands place. Both numbers have 9 in the ten thousands place so I consider the place to the right. 8 thousands is greater than 4 thousands so 98,031 is greater.

Mio is not correct. The way we compare numbers is to start with the greatest place first and compare the digits in that place. If the digits are the same, move on to the next digit to the right. In this case the digit 3 is in the millions place in both numbers. So compare the digits in the hundred thousands place. The digit 4 is in the hundred thousands place in 3,499, 999. The digit 9 is in the hundred thousands place in 3,921,012. 9 is greater than 4 so 3,921,012 is greater than 3,499,999.

Mio is not correct. The way we compare numbers is to start with the greatest place first and compare the digits in that place. If the digits are the same, move on to the next digit to the right. In this case, the digit 3 is in the millions place in both numbers. So compare the digits in the hundred thousands place. The digit 4 is in the hundred thousands place in 3,499, 999. The digit 9 is in the hundred thousands place in 3,921,012. 9 is greater than 4 so 3,921,012 is greater than 3,499,999.

I could label a number line with 856,000 on the left and 857,000 on the right. I would mark the middle point, 856,500. I then locate where 865,253 should be placed between the marked points. 865,253 is less than 856,500 so it is closer to 856,000 on the number line. I would round down to 856,000.

Look to the right of the place you want to round to. If the digit in that place is 5 or greater, round up. If the digit in that place is less than 5, round down.

I’d look at the ten thousands place, which has the digit 9 in it. The place to the right of that place is the thousands place and it has a 6 in it. Since 6 is greater than 5, that means I round up. When I round 9 ten thousands up, it goes to 10 ten thousands. I do some regrouping and get 8,500,000.

7,499,999

Use rounding to report attendance at a football game. Don’t use rounding to record measurements for a science experiment where you need to be very accurate.