## Rounding Numbers

**Main Learning Goal and Core Concepts: **The goal of the lesson is to understand how to round numbers. Students will primarily focus on understanding when they need to round numbers and at what position.

## Vocabulary

#### Rounding

**Rounding** is replacing a number with a value in an estimate form.

#### Place Value

**Place value** is the value of each digit in a number.

## Lesson Brief

**Steps to rounding numbers:**

- Underline what place value the number needs to be rounded.
- Look at the place value and determine if it needs to be rounded up or down.
- 5 or more, raise the score. This means if the value to the right of the number is 5 or greater, you would round the number up by 1 value.
- 4 or less, let it rest. This means if the value to the right of the number is 4 or less, then no rounding needs to be done.

- After rounding, the rest of the values after the place value are 0.

Example:

**Round the following number to the nearest thousand:**

1,539

**Read the directions on what place value the number needs to be rounded.**

The directions ask to round to the nearest thousand, meaning the thousand place will be looked at. In this case, the 1 in 1,539 is in the thousands place.

**Look at the place value and determine if it needs to be rounded up or down.**

To determine if the place value, 1, needs to be rounded up or down, the next number is observed. The number next to the thousands place is 5 in 1,539. The number is 5 which means the 1 in 1,539 should be rounded to 2.

**After rounding, the rest of the values after the place value are 0.**

The rounded number should be **2,000**.

**Directions: Following the corresponding directions to round each set of numbers according to their correct positions.**

**Round the following numbers to the nearest ten.**

- 804

- 298

- 171

- 735

- 180

**Round the following numbers to the nearest hundred.**

- 9,800

- 8,684

- 1,083

- 195

- 4,710

**Round the following numbers to the nearest thousand.**

- 8,764

- 160

- 4,137

- 3,941

- 6,273

**Round the following numbers to the nearest ten thousand.**

- 87,211

- 710, 565

- 768,194

- 914,574

- 15,850

**Directions: Following the corresponding directions to round each set of numbers according to their correct positions.**

**Round the following numbers to the nearest ten.**

- 804

**Answer: 800**

**Explanation: **

0 is in the tens place so we will underline 0. Then we will observe the next number to see if 0 will be rounded up or down. The next number is 4, however, because it is 4 or less, we will let the zero be. The final answer is 800.

- 298

**Answer: 300**

- 171

**Answer: 180**

- 735

**Answer: 740**

- 180

**Answer: 180**

**Round the following numbers to the nearest hundred.**

- 9,820

**Answer: 9,800**

- 8,684

**Answer: 8,700**

- 1,083

**Answer: 1,100**

- 195

**Answer: 200**

- 4,710

**Answer: 4,700**

**Round the following numbers to the nearest thousand.**

- 8,764

**Answer: 9,000**

- 160

**Answer: 0**

- 4,137

**Answer: 4,000**

- 3,941

**Answer: 4,000**

- 6,273

**Answer: 6,000**

**Round the following numbers to the nearest ten thousand.**

- 87,211

**Answer: 90,000**

- 710, 565

**Answer: 710,000**

- 768,194

**Answer: 770,000**

- 914,574

**Answer: 910,000**

- 15,850

**Answer: 20,000**

**Notes:**

- If the value is 9 and needs to be rounded up, then the value to the left will be rounded up and the rest of the values are 0.
- All the values after the underlined place value become a 0.

For more information regarding rounding numbers, consider the link here.

The blank worksheet and its corresponding answer key are below: