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: