Learn on PengiSaxon Math, Course 1Chapter 2: Problem Solving with Number and Operations

Lesson 16: Rounding Whole Numbers

In this Grade 6 Saxon Math lesson (Course 1, Chapter 2, Lesson 16), students learn how to round whole numbers to the nearest ten, hundred, and thousand using number line visualization, including the rule for rounding up when a number falls exactly halfway between two values. The lesson also introduces estimation as a practical skill, showing students how to round numbers before performing addition, subtraction, multiplication, or division to quickly approximate answers and judge reasonableness. Real-world examples, such as estimating whether a shopper has enough money or reading a population bar graph, help students apply rounding and estimation in everyday contexts.

Section 1

πŸ“˜ Rounding Whole NumbersEstimating

New Concept

When we round a whole number, we are finding another whole number, usually ending in zero, that is close to the number we are rounding.

What’s next

This card introduces the core idea of approximation. Soon, you'll work through examples on rounding to different place values and applying estimation to solve practical problems.

Section 2

Rounding whole numbers

Property

When we round a whole number, we are finding another whole number, usually ending in zero, that is close to the number we are rounding.

Examples

  • To round 68 to the nearest ten, we see it is closer to 70 than 60, so it rounds to 70.
  • To round 234 to the nearest hundred, it is much closer to 200 than 300, so it rounds to 200.
  • To round 7500 to the nearest thousand, it is halfway between 7000 and 8000, so we round up to 8000.

Explanation

Think of rounding as finding a number's closest 'cool friend' that ends in a zero. For 667, the number line shows 670 is a much closer buddy than 660. If a number like 550 is exactly in the middle, it gets a boost and always rounds up to the bigger, cooler number, 600!

Section 3

Estimating

Property

Estimating is a quick way to 'get close' to the answer. To estimate, we round the numbers before we add, subtract, multiply, or divide.

Examples

  • Estimate the sum of 489 and 214: Round to 500+200500 + 200, which is 700.
  • Estimate the difference of 804 and 496: Round to 800βˆ’500800 - 500, which is 300.
  • Estimate the product of 38 and 22: Round to 40Γ—2040 \times 20, which is 800.

Explanation

Estimating is your math superpower for getting 'close enough' answers super fast! Instead of dealing with tricky numbers like 467 + 312, just round them to their friendly neighbors first. In this case, 500 and 300. Adding those is a piece of cake! It's perfect for quickly checking if your exact answer is reasonable.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 2: Problem Solving with Number and Operations

  1. Lesson 1

    Lesson 11: Problems About Combining & Separating

  2. Lesson 2

    Lesson 12: Place Value Through Trillions

  3. Lesson 3

    Lesson 13: Problems About Comparing

  4. Lesson 4

    Lesson 14: The Number Line: Negative Numbers

  5. Lesson 5

    Lesson 15: Problems About Equal Groups

  6. Lesson 6Current

    Lesson 16: Rounding Whole Numbers

  7. Lesson 7

    Lesson 17: The Number Line: Fractions and Mixed Numbers

  8. Lesson 8

    Lesson 18: Average

  9. Lesson 9

    Lesson 19: Factors

  10. Lesson 10

    Lesson 20: Greatest Common Factor (GCF)

  11. Lesson 11

    Investigation 2: Investigating Fractions with Manipulatives

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

πŸ“˜ Rounding Whole NumbersEstimating

New Concept

When we round a whole number, we are finding another whole number, usually ending in zero, that is close to the number we are rounding.

What’s next

This card introduces the core idea of approximation. Soon, you'll work through examples on rounding to different place values and applying estimation to solve practical problems.

Section 2

Rounding whole numbers

Property

When we round a whole number, we are finding another whole number, usually ending in zero, that is close to the number we are rounding.

Examples

  • To round 68 to the nearest ten, we see it is closer to 70 than 60, so it rounds to 70.
  • To round 234 to the nearest hundred, it is much closer to 200 than 300, so it rounds to 200.
  • To round 7500 to the nearest thousand, it is halfway between 7000 and 8000, so we round up to 8000.

Explanation

Think of rounding as finding a number's closest 'cool friend' that ends in a zero. For 667, the number line shows 670 is a much closer buddy than 660. If a number like 550 is exactly in the middle, it gets a boost and always rounds up to the bigger, cooler number, 600!

Section 3

Estimating

Property

Estimating is a quick way to 'get close' to the answer. To estimate, we round the numbers before we add, subtract, multiply, or divide.

Examples

  • Estimate the sum of 489 and 214: Round to 500+200500 + 200, which is 700.
  • Estimate the difference of 804 and 496: Round to 800βˆ’500800 - 500, which is 300.
  • Estimate the product of 38 and 22: Round to 40Γ—2040 \times 20, which is 800.

Explanation

Estimating is your math superpower for getting 'close enough' answers super fast! Instead of dealing with tricky numbers like 467 + 312, just round them to their friendly neighbors first. In this case, 500 and 300. Adding those is a piece of cake! It's perfect for quickly checking if your exact answer is reasonable.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 2: Problem Solving with Number and Operations

  1. Lesson 1

    Lesson 11: Problems About Combining & Separating

  2. Lesson 2

    Lesson 12: Place Value Through Trillions

  3. Lesson 3

    Lesson 13: Problems About Comparing

  4. Lesson 4

    Lesson 14: The Number Line: Negative Numbers

  5. Lesson 5

    Lesson 15: Problems About Equal Groups

  6. Lesson 6Current

    Lesson 16: Rounding Whole Numbers

  7. Lesson 7

    Lesson 17: The Number Line: Fractions and Mixed Numbers

  8. Lesson 8

    Lesson 18: Average

  9. Lesson 9

    Lesson 19: Factors

  10. Lesson 10

    Lesson 20: Greatest Common Factor (GCF)

  11. Lesson 11

    Investigation 2: Investigating Fractions with Manipulatives