## Long Division Worksheets Updated

We rounded out the school year with a taste of long division, which quickly exhausted the site’s light treatment of worksheets in this category. A few more fine tuned levels of difficulty, in addition to just a larger number of worksheets, have been added. Also, when we ran through several sheets here I noticed a large fraction of problems that had 1 as a divisor… Not exactly challenging for a division problem. These lightweights have been filtered out.

The answer keys for long division are especially helpful because they show the actual steps to solve the problem. Showing detailed answers to a long division problem is important given the number of different procedures and operations (and the corresponding opportunities to drive right off the road in the process of reaching the solution). The old Python logic that generates the long division answers worked in general cases, but was a little flaky in spots when multiple digits had to be brought down to satisfy the divisor in a step. It desperately needed refactoring, and the new solution is much more robust.

Significantly improved long division worksheets have been posted at the link below (or as usual, in the ‘Worksheets’ menu to the right), just in time for your summer review sessions!

Long Division Worksheets

## Probability and the Evil Tweep of No Sleep

As I type this, the calm clicks of the keys are punctuated once a minute by a sound I can most accurately ascribe to an evil, mutant cricket. It is the smoke detector at the top of the stairs, warning me that its battery is low. It has, in fact, been warning me quite urgently and persistently since 3:22AM this morning. I do not believe the timing is random, and I suspect it is actually, motive unknown, part of a sinister plan to do me in.

Having invested our full share to inflate the housing bubble, our home meets all of the recent building codes pertaining to fire safety. This includes a full complement of hard-wired smoke detectors — one in each bedroom, at the top and bottom of any stair way and in locations within hallways whose precise specification eludes me. The net result of this is that we have no fewer than nine smoke detectors in the house. I discern at a minimum that the authors of the current building code possess significant stock holdings in smoke detector companies, even if they are not fully complicit in the threats against my life.

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## One Fourth of the Fraction Worksheets Done!

The addition worksheets for fractions are
posted here, and if we optimistically consider only the four basic math operations, that means I’m a quarter of the way through fractions. Fortunately we only touched on fraction addition this year, so that probably gives me the summer break to get geared up for fourth grade math. I’m certain that’s going to cover a lot more of our fractional friends.

The worksheets recently have taken more effort mostly because they show detailed problem steps in the answer keys. You’ll notice on some of the more complex variations of these fraction worksheets (mixed fractions and uncommon denominators) where we break down intermediate calculations to reach the answers. This really helps with “self grading” of the worksheets because your young mathematicians can see where their calculations went off the rails.