The Print ShopParts of a number
Twelve decimals with one place multiplied by decimals with one place, stacked in columns: 3.7 × 2.4 is 8.88. The method is to multiply as if there were no points and then count the decimal places in both numbers — two here — and put that many in the answer.
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Work out each answer. Line the digits up on the right and multiply as if there were no points, then count the decimal places in both numbers: the answer has that many.
Work out each answer. Line the digits up on the right and multiply as if there were no points, then count the decimal places in both numbers: the answer has that many.
This is the sheet where lining the points up stops being the rule. A decimal sum is set with the points in a column; a decimal product is set with the digits lined up on the right, worked as 37 × 24, and given its point at the end by counting — one place in each number, so two in the answer. The instruction line says so, because a child who lines the points up here gets a neat column and a wrong answer.
Neither number ends in a zero, so the count of places in the question is the count that is true — 3.70 × 2.4 would show three places and mean two — and every answer is printed with exactly the places the count gives, 4.5 × 0.2 being 0.90 and never 0.9. The multiplier is under ten, so each one is a short long-multiplication rather than a long one.
The answers were worked out when the problems were, so the key is the same page with the answers drawn in rather than a second attempt at the same questions — there is no way for the two to disagree. The number in the footer is the seed the sheet was built from: it is printed so that the identical sheet can be had again next week, rather than one that merely looks like it.
This page is one sheet out of a family that can print thousands, and the settings behind it — how many problems, how big the numbers get, how they are laid out, whether there is room to work — are all switches. The builder link at the top of the page carries this sheet’s own settings, so the bench opens on exactly the sheet here rather than on a blank one.
The configuration travels in the address bar rather than on a server, so the link can be bookmarked or sent to somebody as it stands — and what they open is this sheet, down to the seed, rather than another one like it.
A decimal product is a long multiplication with the point put back, and a long multiplication is a stack of table facts. The Grid drills the facts.
One page each, with the full table on it and something true about that number rather than filler.
42 topics, each one a page like this one — the sheet, its answer key, and no account to print either.
The facts underneath everything else, and the columns after them.
Multiplication and division, from the twelve tables to the bracket.
Fractions, decimals, percentages and money — one idea, four ways.
Clocks, units and shapes: the math that is about something.
Signs, letters standing for numbers, and what a set is doing.
