enVision Mathematics Grade 4, Topic 1: Generalize Place Value Understanding
In this unit, your child starts the year with place value in numbers up to a million. They see why each place is worth ten times the place to its right; read, write, and compare large numbers; and round them to any place. This groundwork leads straight into the next unit, adding and subtracting large numbers on paper.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Topic 1?
- Seeing that a digit is worth ten times as much each place it moves left, so the 7 in 700 is ten times the 7 in 70. Learn more: Why each place is worth ten times the next
- Reading and writing numbers to a million in digits, in words, and in expanded form; and comparing them with >, =, and <. Learn more about reading and writing numbers up to a million: Reading and writing numbers up to a million · Learn more about comparing numbers up to a million
- Rounding numbers to the nearest ten, hundred, thousand, ten thousand, or hundred thousand, using place value. Learn more: Rounding big numbers to any place
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Compare 40 thousands and 4 ten thousands. Which is true?
- 4 ten thousands is more
- They are equal
- 40 thousands is more
How you can help
- Point out a number with a repeated digit, like 4,440 on a sign or receipt. Ask your child what each 4 is worth and how many times bigger each one is than the 4 to its right.
- Play a number-building game with playing cards. Each person draws six cards to make the largest number they can, reads it aloud, and you decide together whose is greater.
- Use a road sign or a map on a walk or ride. If a city is 1,476 miles away, ask your child to round it to the nearest hundred and nearest thousand, and which is more useful.
Where kids can get stuck
- Writing "forty thousand six" as 4,006, unsure how many zeros fill the empty places.
- Rounding 4,862 to the nearest hundred as 4,800, dropping digits instead of checking which hundred is closer.
- Saying the 3 in 3,000 and the 3 in 300 are worth the same, without looking at their places.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- place value
- The value a digit has because of its place in a number.
- digit
- Any of the symbols 0 through 9 used to write numbers.
- period
- A group of three places, like the thousands period, set off by commas.
- expanded form
- A number written as the sum of each digit's value, like 3,000 + 400 + 5.
- word form
- A number written in words, like "three thousand four hundred five."
- round
- To change a number to a nearby, easier number, like 6,812 to 7,000.
- halfway
- The point in the middle of two numbers; 4,500 is halfway between 4,000 and 5,000.
Ready to build your child’s confidence with place value to a million?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
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Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does enVision Mathematics Grade 4 Topic 1 cover?
enVision Mathematics Grade 4 Topic 1 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.