Place Value to One Million

4th Grade MathMulti-Digit Operations4 pages

About this worksheet

Place value work through the hundred thousands for 4th grade, matched to Common Core 4.NBT.1, 4.NBT.2 and 4.NBT.3. Students quantify the 10× relationship inside 444,444, translate 582,409 into expanded form and a word-form number back into digits, compare six pairs that include 99,999 against 100,001, and round 347,812, 682,495 and 519,630 to three different places in one table. A stadium crowd of 748,391 carries the final question set. The answer key is attached.

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Curriculum objectives covered

4.NBT.1

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Part 1 in full, plus the digit-value questions about 748,391 in Part 5.

4.NBT.2

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

The three conversions in Part 2 and all six comparisons in Part 3.

4.NBT.3

Use place value understanding to round multi-digit whole numbers to any place.

The nine-answer rounding table in Part 4 and the two attendance roundings in Part 5.

What's inside this worksheet

Part 1: The 10× Place Value Rule

Question 1 asks how many times greater the 4 in the ten thousands place of 444,444 is than the 4 in the thousands place. Four quick equations like 800,000 ÷ 80,000 back it up.

Part 2: Read, Write, and Expand

Three conversions: 582,409 into expanded form, 300,000 + 40,000 + 6,000 + 200 + 8 back into standard form, and "seven hundred fifteen thousand, three hundred sixty-two" into digits.

Part 3: Compare Numbers

Six pairs take <, > or =, including 603,500 against 630,050 and the near-miss 512,689 against 512,698.

Part 4: Rounding Multi-Digit Numbers

A table rounds 347,812, 682,495 and 519,630 to the nearest 1,000, 10,000 and 100,000, nine answers in all.

Part 5: Problem Solving

The stadium attendance of 748,391 gets four questions: the value of the digit 7, the value of the digit 4, and roundings to the nearest ten thousand and hundred thousand.

How teachers use it

Unit opener check

Give Part 1 cold on day one. Students who write 10 for question 1 without hesitation can skip your 10× mini-lesson.

Spiral review

Parts 3 and 4 recycle well weeks later. The 99,999 versus 100,001 pair still catches students who never count digits before comparing.

Data connection

After Part 5, have students find a real attendance figure and write their own four questions about it. The 748,391 set is the template.

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