By special request, variations of the number ordering worksheets with a vertical problem layout have been posted at the link below…

Vertical Number Ordering Worksheets

The standard form, expanded form and word form worksheets have been updated. Thesesheets deal with composing and decomposing large numbers into various forms, including the spoken-form of numbers.

Previously, problems on some of these worksheets that included a large gap in the place-value sequence would have been translated incorrectly. An example would be a number like 5,000,123 which has no value in the middle thousands triplet. Problems of this sort were quite scarce since the way the previous sets of worksheets were constructed, there was only a 1-in-1000 chance that a particular number would have an incorrectly formed answer.

In turned out, these were exactly the sort of problems we were having trouble with on a quiz here and when I went searching for problems of that type, I actually had to create a whole new series of worksheets that specifically included more zeroes in the problems. These new worksheets are identified in their descriptions as “with gaps” and you’ll find them mixed into the existing series.

Hope your school years are all progressing well!

You’ll find the new worksheets here…

Numbers in Standard, Expanded and Word Form

So, it’s really time to banish the long division monster. We’ve been working on long division all summer, but still there’s some perception that a three digit long division problem is much harder than a four digit problem, and heaven help us if a five or six digit division worksheet gets shuffled into the daily drills.

So, to finally drive a stake through this beast’s heart, we came up with a sort of agreement. I can assign worksheets with division problems as large as I want, as long as there’s no more than one problem per page. Well, throw the switch, a lightning bolt rips through Dad’s dungeon laboratory and the Monster Division Worksheets are alive!

Of course, one problem per-page works out fine because you need that much space to work the problem out, and to make it easier to keep things lined up, the worksheets carry lines down the problem page.

Give these twelve and fourteen digit leviathans a try, and I promise their four digit kin will seem far less intimidating… Like warm, fuzzy, forest creature division.

Click here to see the new Monster Division Worksheets!

Well, the new school year is officially underway. We touched division last year briefly, but fourth grade here is where we need to get our division facts down cold. Of course, the goal is working up to those long division worksheets but to get there, you really need to establish a solid grounding in the division facts first.

Unfortunately, division isn’t just multiplication in reverse. Oh yeah, we tell them that and it flies for a while, but then one ugly left over spoils the fun. Remainders. You only get so far into division before this remainder thing pops up, so if you arm your kids with only the “reverse the multiplication” strategy, division quickly develops a reputation as the nightmare operator. We relied heavily on the idea that addition and subtraction had “fact families” and you could always reverse them, but that clean relationship just isn’t there for multiplication and division. I mean, what’s the corresponding multiplication fact for 5 / 2 = 2 r 1 ? 2.5 x 2 ? We don’t get closure here until we’ve introduced fractions and decimals… Perhaps division’s reputation as a monster is a bit deserved. Either way, this post describes the various sets of division worksheets on the site to help you introduce division and remainders successfully.

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Here’s a few quick worksheet updates to keep young math magicians busy!

The multiple digit multiplication worksheets have been updated to not include any problems where a multiplicand is one. We’ve been hitting multiple-digit multiplication pretty hard over the summer. It’s great review for the basic multiplication facts and keeps the mechanics of the multi-digit process fresh for when school starts back up. However, the 1xN digit worksheets, there was a 11% probability that a problem would have a ‘1′ in it. I’m hoping my daughter won’t notice that these “gimme” problems are gone now…

Not wanting to neglect the division operator, the recent updates include responses to a few recent user requests for more specific division series problems. You can now find division problems for doubles plus one as well as progressive division facts for small remainders in two new series of worksheets.

I hope your summer vacations are all going well!

Updated Multiple Digit Multiplication Worksheets
Division Series for Doubles Plus One
Division Series with Progressive Remainders