➕ 4th Grade Math · Unit 1

Place Value and Big Numbers

16 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: 4.NBT.A.1 4.NBT.A.2 4.NBT.A.3 4.NBT.B.4 4.OA.A.3

4th Grade Math · 9 units
  1. 1Place Value and Big Numbers
  2. 2Multiplicative Comparison and Factors
  3. 3Multiplying Multi-Digit Numbers
  4. 4Dividing Multi-Digit Numbers
  5. 5Fraction Equivalence and Comparison
  6. 6Adding, Subtracting and Multiplying Fractions
  7. 7Decimals
  8. 8Measurement
  9. 9Angles and Shapes
Picture from the lesson “Places Up to One Million”
Places Up to One Million
Picture from the lesson “Each Place Is Ten Times Bigger”
Each Place Is Ten Times Bigger
Picture from the lesson “Standard Form and Word Form”
Standard Form and Word Form

What your child will learn

Place value to one million

  1. Places Up to One MillionName the places in a number up to one million, from ones to hundred thousands.
  2. Each Place Is Ten Times BiggerExplain that a digit in one place is worth ten times what it would be worth in the place to its right.
  3. Standard Form and Word FormRead and write large numbers in standard form and in word form using commas to mark periods.
  4. Stretching Numbers: Expanded FormWrite a large number in expanded form as the sum of the values of its digits.
  5. Big Number Review ReviewReview place value up to one million and the three ways to write a number.

Comparing and rounding big numbers

  1. Comparing Big NumbersCompare two multi-digit numbers by looking at digits from the greatest place, and use greater than, less than and equal to.
  2. Putting Big Numbers in OrderPut several multi-digit numbers in order from least to greatest.
  3. Rounding Big NumbersRound a multi-digit number to the nearest thousand, ten thousand or hundred thousand using a number line.
  4. Estimating with RoundingUse rounding to estimate sums and differences of large numbers and check if an answer makes sense.
  5. Compare, Order and Round Review ReviewReview comparing, ordering and rounding numbers up to one million.

Adding and subtracting big numbers

  1. Adding Big NumbersAdd multi-digit numbers by lining up places and regrouping when a place has ten or more.
  2. Subtracting Big NumbersSubtract multi-digit numbers by lining up places and regrouping from the next place when needed.
  3. Subtracting Across ZerosSubtract from numbers with zeros, like ten thousand minus two thousand four hundred six, by regrouping across several places.
  4. Checking with the Opposite OperationCheck a subtraction answer by adding, and an addition answer by subtracting.
  5. Add and Subtract Review ReviewReview adding and subtracting multi-digit numbers and checking answers.
  6. Unit 1 Test: Big Number ChallengeShow what you learned in the whole unit (Place value to one million, Comparing and rounding big numbers, Adding and subtracting big numbers) by answering mixed questions.

Try a question from this unit

From the lesson “Places Up to One Million”

An empty place value chart with six labeled columns.

In the number 527,164, which digit is in the ten thousands place?

  • 5
  • 2
  • 7
  • 1
Show the answer

2. The places from the left are hundred thousands, ten thousands, thousands. So the 2 is in the ten thousands place.

Hint kids see after a wrong try: “Start at the ones and move left: ones, tens, hundreds, thousands, and then the next place.”

Key words

  • place value
  • thousands
  • million
  • ten times
  • value
  • standard form
  • word form
  • period
  • expanded form
  • greater than
  • less than
  • compare
  • order
  • least
  • greatest
  • round
  • nearest
  • estimate
  • standard algorithm
  • regroup
  • sum
  • difference
  • zero
  • inverse operation
All 4th Grade Math units Multiplicative Comparison and Factors →

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