Learn on PengiSaxon Math, Course 1Chapter 6: Geometry and Number Operations

Lesson 51: Rounding Decimal Numbers

In this Grade 6 Saxon Math Course 1 lesson, students learn how to round decimal numbers to the nearest cent, tenth, and whole number using the standard rounding rule of looking at the digit immediately to the right of the target place value. The lesson applies rounding in real-world contexts such as calculating sales tax and estimating products of decimals. Practice problems reinforce rounding skills alongside estimation strategies and multi-step money calculations.

Section 1

πŸ“˜ Rounding Decimal Numbers

New Concept

To round a decimal, look at the digit to the right of the target place. If this digit is 5 or greater, round up; otherwise, round down.

What’s next

Now, you'll apply this rule in worked examples for rounding to different place values, including money, and see how it's used for estimation.

Section 2

Rounding to the Nearest Cent

Property

Money amounts are usually rounded to two places after the decimal point.

Examples

To round to the nearest cent, we look at the third decimal place:

  • 0.5512β†’0.550.5512 \rightarrow 0.55 dollars, because 1 is less than 5.
  • 6.6666β†’6.676.6666 \rightarrow 6.67 dollars, because 6 is greater than 5.
  • 0.0833β†’0.080.0833 \rightarrow 0.08 dollars, because 3 is less than 5.

Explanation

Think of it this way: you only have pennies, so any smaller fraction has to go! Just peek at the third decimal digit. If that digit is 5 or more, your cents round up to the next penny. If it's 4 or less, that tiny fraction of a cent just vanishes.

Section 3

Rounding to the Nearest Tenth

Property

To round a decimal to the nearest tenth, you must look at the digit in the hundredths place.

Examples

To round to the nearest tenth, we look at the hundredths digit:

  • 10.381β†’10.410.381 \rightarrow 10.4, because 8 is 5 or more.
  • 12.345β†’12.312.345 \rightarrow 12.3, because 4 is less than 5.
  • 2.375β†’2.42.375 \rightarrow 2.4, because 7 is 5 or more.

Explanation

Let the hundredths digit be your guide! If this 'boss' digit is a 5 or anything bigger, it tells the tenths digit to 'level up' by one. If the boss is 4 or smaller, it just packs its bags and leaves quietly, letting the tenths digit stay exactly as it was.

Book overview

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Chapter 6: Geometry and Number Operations

  1. Lesson 1Current

    Lesson 51: Rounding Decimal Numbers

  2. Lesson 2

    Lesson 52: Mentally Dividing Decimal Numbers by 10 and by 100

  3. Lesson 3

    Lesson 53: Decimals Chart

  4. Lesson 4

    Lesson 54: Reducing by Grouping Factors Equal to 1

  5. Lesson 5

    Lesson 55: Common Denominators, Part 1

  6. Lesson 6

    Lesson 56: Common Denominators, Part 2

  7. Lesson 7

    Lesson 57: Adding and Subtracting Fractions: Three Steps

  8. Lesson 8

    Lesson 58: Probability and Chance

  9. Lesson 9

    Lesson 59: Adding Mixed Numbers

  10. Lesson 10

    Lesson 60: Polygons

  11. Lesson 11

    Investigation 6: Attributes of Geometric Solids

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

πŸ“˜ Rounding Decimal Numbers

New Concept

To round a decimal, look at the digit to the right of the target place. If this digit is 5 or greater, round up; otherwise, round down.

What’s next

Now, you'll apply this rule in worked examples for rounding to different place values, including money, and see how it's used for estimation.

Section 2

Rounding to the Nearest Cent

Property

Money amounts are usually rounded to two places after the decimal point.

Examples

To round to the nearest cent, we look at the third decimal place:

  • 0.5512β†’0.550.5512 \rightarrow 0.55 dollars, because 1 is less than 5.
  • 6.6666β†’6.676.6666 \rightarrow 6.67 dollars, because 6 is greater than 5.
  • 0.0833β†’0.080.0833 \rightarrow 0.08 dollars, because 3 is less than 5.

Explanation

Think of it this way: you only have pennies, so any smaller fraction has to go! Just peek at the third decimal digit. If that digit is 5 or more, your cents round up to the next penny. If it's 4 or less, that tiny fraction of a cent just vanishes.

Section 3

Rounding to the Nearest Tenth

Property

To round a decimal to the nearest tenth, you must look at the digit in the hundredths place.

Examples

To round to the nearest tenth, we look at the hundredths digit:

  • 10.381β†’10.410.381 \rightarrow 10.4, because 8 is 5 or more.
  • 12.345β†’12.312.345 \rightarrow 12.3, because 4 is less than 5.
  • 2.375β†’2.42.375 \rightarrow 2.4, because 7 is 5 or more.

Explanation

Let the hundredths digit be your guide! If this 'boss' digit is a 5 or anything bigger, it tells the tenths digit to 'level up' by one. If the boss is 4 or smaller, it just packs its bags and leaves quietly, letting the tenths digit stay exactly as it was.

Book overview

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

Continue this chapter

Chapter 6: Geometry and Number Operations

  1. Lesson 1Current

    Lesson 51: Rounding Decimal Numbers

  2. Lesson 2

    Lesson 52: Mentally Dividing Decimal Numbers by 10 and by 100

  3. Lesson 3

    Lesson 53: Decimals Chart

  4. Lesson 4

    Lesson 54: Reducing by Grouping Factors Equal to 1

  5. Lesson 5

    Lesson 55: Common Denominators, Part 1

  6. Lesson 6

    Lesson 56: Common Denominators, Part 2

  7. Lesson 7

    Lesson 57: Adding and Subtracting Fractions: Three Steps

  8. Lesson 8

    Lesson 58: Probability and Chance

  9. Lesson 9

    Lesson 59: Adding Mixed Numbers

  10. Lesson 10

    Lesson 60: Polygons

  11. Lesson 11

    Investigation 6: Attributes of Geometric Solids