# Place Value and Patterns with Rounding

Instructor: Sarah Kaiser

Sarah has taught 3rd and 5th grade and has a master's degree in education.

In this lesson, you will explore and learn how to use place value rules and patterns to round whole numbers to the nearest 10, 100, and 1,000 in order to solve real-world problems.

## Place Value and Rounding

Imagine your family is having a reunion. You've sent out invitations, and gotten many RSVPs back. Your parents want to be sure to have enough food and drinks for everyone, but you know that the RSVP list is not going to be exactly who attends. You can use the skill of rounding to estimate how much needs to be bought to serve all guests!

## Rounding to the Nearest 10

Let's continue using the example of a family reunion to explore rounding. Of all of the guests that have RSVP'd, 87 of them are kids. Your parents want to make sure they buy enough juice for the kids. We can ask, about how many kids are attending?

To round the number 87 to the nearest 10, we will look at the place value to the right of the tens place: the ones place. In the number 87, there is a 7 in the ones place. This number will help us round up to the nearest ten, or down to the nearest ten. 87 is between 8 tens and 9 tens, or 80 and 90. The ones digit, 7, is greater than 5. This tells us to round our number up to the nearest 10. Think about this rhyme as you round: ''5 or above? Give it a shove! 4 or below? Let it go!'' Therefore, we can say that there are about 90 kids attending the reunion.

## Rounding to the Nearest 100

Now, 233 adults have RSVP'd for the reunion. About how many adults are coming to the reunion? Well, let's use rounding to the nearest 100 to estimate. 233 is between two hundreds and three hundreds. When rounding to the nearest 100, we must now examine the digit to the right of the hundreds place. The number 3 is in the tens place, beside the hundreds place. Think back to the rhyme we can use to remember whether to round our number up or down. The digit 3 in the tens place is less than 5, so 233 rounds down to the nearest hundred. That means there are about 200 adults attending the reunion.

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