➕ 5th Grade Math · Unit 3

Place Value with Decimals

14 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 5.NBT.A.1 5.NBT.A.3 5.NBT.A.4 5.NBT.A.2

5th Grade Math · 8 units
  1. 1Volume
  2. 2Expressions and Whole Number Operations
  3. 3Place Value with Decimals
  4. 4Decimal Operations
  5. 5Adding and Subtracting Fractions
  6. 6Multiplying and Dividing Fractions
  7. 7Coordinate Plane and Patterns
  8. 8Classifying Shapes
Picture from the lesson “Tiny Parts: Thousandths”
Tiny Parts: Thousandths
Picture from the lesson “Ten Times and One Tenth”
Ten Times and One Tenth
Picture from the lesson “Three Ways to Write Decimals”
Three Ways to Write Decimals

What your child will learn

Decimals to thousandths

  1. Tiny Parts: ThousandthsRead and write decimals to the thousandths place and name the value of each digit.
  2. Ten Times and One TenthExplain that a digit is worth ten times as much as the same digit to its right and one tenth as much as the same digit to its left.
  3. Three Ways to Write DecimalsWrite decimals to thousandths in standard form, word form and expanded form.
  4. Decimal Place Value Review ReviewReview place value of decimals to thousandths.

Comparing and rounding decimals

  1. Which Decimal Is Greater?Compare two decimals to thousandths by comparing digits place by place.
  2. Putting Decimals in OrderPut several decimals in order from least to greatest.
  3. Rounding DecimalsRound a decimal to the nearest whole number, tenth or hundredth using a number line.
  4. Decimals on a Number LinePlace decimals to thousandths on a number line between two tenths or hundredths.
  5. Compare, Order and Round Review ReviewReview comparing, ordering and rounding decimals.

Powers of ten and decimals

  1. Decimals Times 10, 100 and 1,000Multiply a decimal by ten, one hundred or one thousand and explain why the digits shift left.
  2. Dividing by 10, 100 and 1,000Divide a number by ten, one hundred or one thousand and explain why the digits shift right.
  3. Exponents and the Decimal PointUse exponents to tell how many places the decimal point moves when multiplying or dividing by a power of ten.
  4. Powers of Ten Review ReviewReview multiplying and dividing decimals by powers of ten.
  5. Unit 3 Test: Place Value with DecimalsShow what you learned in the whole unit (Decimals to thousandths, Comparing and rounding decimals, Powers of ten and decimals) by answering mixed questions.

Try a question from this unit

From the lesson “Tiny Parts: Thousandths”

What is the value of the 6 in 4.316?

  • 6 tenths
  • 6 hundredths
  • 6 ones
  • 6 thousandths
Show the answer

6 thousandths. The 6 is the third digit after the decimal point, so it is in the thousandths place.

Hint kids see after a wrong try: “Count the places after the decimal point.”

Key words

  • thousandths
  • decimal
  • one tenth
  • place value
  • expanded form
  • word form
  • greater than
  • less than
  • order
  • round
  • nearest tenth
  • number line
  • power of ten
  • shift
  • decimal point
  • exponent
← Expressions and Whole Number Operations All 5th Grade Math units Decimal Operations →

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