Learning Objective Name ______

Today, we will round numbers.

CFU

What are we going to do today?

Activate (or provide) Prior Knowledge

A digit is a number from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.

Circle the number in the thousands place.

A. 53,231 B. 84,562

Circle the number in the ten thousands place.

C. 261,284 D. 479,561

CFU

Students, you already know how to identify the place value of numbers.

Today, we are going to use place value to round numbers
Concept Development

To round a number is to change a number to a near value.

•  Rounding makes a number simpler by replacing all digits after the selected1 digit with 0.

1 chosen

Rounding Down
Rounding down changes the number to lesser value.
·  Round down when the digit to the right of the selected digit is 4 or less.
·  When rounding down the selected digit stays the same.
Round to nearest ten thousand.
4,352,807
rounds down to
4,350,000 / Rounding Up
Rounding up changes the number to greater value.
·  Round up when the digit to the right of the selected digit is 5 or more.
·  When rounding up the selected digit is increased2 by 1.
2 made larger
Round to nearest hundred thousand.
4,352,807
rounds up to
4,400,000

CFU

When rounding 7,819,623 to the nearest hundred thousand, will the number be rounded up or rounded down? How do you know?

A round up B round down

When rounding 7,819,623 to the nearest ten thousand, will the number be rounded up or rounded down? How do you know?

A round down B round up

In your own words, what does it mean to round a number? To round a number means to ______.

Skill Development/Guided Practice

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

Round numbers.

Step #1: Read the problem and identify3 the place value of the selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine4 whether to round up or down. Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number. Hint: Replace all digits after the selected digit with 0.
3 find 4 figure out
1. 8,217,462 rounded ______to the nearest thousand is ______.
2. 7,557,065 rounded ______to the nearest thousand is ______.
3. 8,213,462 rounded ______to the nearest ten thousand is ______.
4. 7,574,065 rounded ______to the nearest ten thousand is ______.
1. 1,804,652 rounded ______to the nearest thousand is ______.
2. 5,392,841 rounded ______to the nearest thousand is ______.
3. 1,847,652 rounded ______to the nearest ten thousand is ______.
4. 9,468,983 rounded ______to the nearest ten thousand is ______.

CFU

(#2) How did I/you identify the place value of the selected digit?

(#3) How did I/you determine to round up or down?

(#4) How did I/you round the number?


Relevance

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

1.  Rounding numbers will make it easier to add large numbers.

2.  Rounding numbers will help you do well on tests.

CFU

Does anyone else have another reason why it is relevant to round numbers? (pair-share) Why is it relevant to round numbers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?

Rounding down changes the number to a lesser value.
•  Round down when the digit to the right of the selected digit is 4 or less.
Rounding up changes the number to a greater value.
•  Round up when the digit to the right of the selected digit is 5 or more.
Skill Closure
Round numbers.
Step #1: Read the problem and identify the place value of the selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number. Hint: Replace all digits after the selected digit with 0.





When rounding to the nearest hundred thousand
Isaac determined that 8,758,635 will be rounded down.
Is he correct or incorrect? Explain your answer.
______
______
______
Summary Closure
What did you learn today about rounding numbers?
Day1______
Day2______


Independent Practice Name ______

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

Round numbers.

Step #1: Read the problem and identify the place value of the
selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine whether to round up or down.
Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number.
Hint: Replace all digits after the selected digit with 0.
1. 9,754,200 rounded ______to the nearest thousand is ______.
2. 3,292,707 rounded ______to the nearest ten thousand is ______.
3. 6,892,707 rounded ______to the nearest thousand______.
4. 5,659,200 rounded ______to the nearest hundred thousand is ______.
5. 8,654,200 rounded ______to the nearest ten thousand is ______.
6. 1,578,142 rounded ______to the nearest ten thousand is ______.
7. 2,561,190 rounded ______to the nearest hundred thousand is ______.
8. 2,561,190 rounded ______to the nearest thousand is ______.

Periodic Review 1 Name ______

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

Round numbers.

Step #1: Read the problem and identify the place value of the
selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine whether to round up or down.
Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number.
Hint: Replace all digits after the selected digit with 0.
1. 3,313,546 rounded ______to the nearest ten thousand is ______.
2. 9,986,502 rounded ______to the nearest ten thousand is ______.
3. 6,456,708 rounded ______to the nearest hundred thousand is ______.
4. 8,674,017 rounded ______to the nearest ten thousand is ______.
5. 7,592,732 rounded ______to the nearest thousand is ______.
6. 1,228,943 rounded ______to the nearest hundred thousand is ______.
7. 8,654,200 rounded ______to the nearest thousand is ______.
8. 1,517,142 rounded ______to the nearest thousand is ______.

Periodic Review 2 Name ______

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

Round numbers.

Step #1: Read the problem and identify the place value of the
selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine whether to round up or down.
Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number.
Hint: Replace all digits after the selected digit with 0.
1. 8,658,200 rounded ______to the nearest thousand is ______.
2. 5,349,874 rounded ______to the nearest ten thousand is ______.
3. 5,285,004 rounded ______to the nearest hundred thousand is ______.
4. 4,100,894 rounded ______to the nearest thousand is ______.
5. 7,827,008 rounded ______to the nearest thousand is ______.
6. 4,582,041 rounded ______to the nearest hundred thousand is______.
7. 2,005,864 rounded ______to the nearest ten thousand is ______.
8. 7,684,387 rounded ______to the nearest ten thousand is ______.

Periodic Review 3 Name ______

Rounding down changes the number to a lesser value.

•  Round down when the digit to the right of the selected digit is 4 or less.

Rounding up changes the number to a greater value.

•  Round up when the digit to the right of the selected digit is 5 or more.

Round numbers.

Step #1: Read the problem and identify the place value of the
selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine whether to round up or down.
Hint: Look at the digit to the right of the selected digit.
Step #4: Round the number.
Hint: Replace all digits after the selected digit with 0.
1. 7,334,450 rounded ______to the nearest hundred thousand is ______.
2. 1,987,235 rounded ______to the nearest ten thousand is ______.
3. 1,285,789 rounded ______to the nearest hundred thousand is ______.
4. 2,000,789 rounded ______to the nearest ten thousand is ______.
5. 5,667,235 rounded ______to the nearest thousand is ______.
6. 2,824,679 rounded ______to the nearest thousand is______.
7. 6,558,901 rounded ______to the nearest hundred thousand is ______.
8. 5,921,598 rounded ______to the nearest thousand is ______.

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Comments? / 4th Grade Number Sense 1.3 (2Q)
Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.
Lesson to be used by EDI-trained teachers only.