The Print ShopParts of a number
Decimals divided by decimals, written along a line with work space under each: the divisor has one or two places, the number divided has at least as many, and every one is meant to be rewritten first — multiply both sides by ten or a hundred until the divisor is whole — and then divided.
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Work out each answer. Multiply both numbers by 10, or by 100, until you are dividing by a whole number, then divide.
Work out each answer. Multiply both numbers by 10, or by 100, until you are dividing by a whole number, then divide.
These are deliberately not set in the bracket. The method is to change the question into one you can already do — 8.4 ÷ 0.2 is 84 ÷ 2, because multiplying both numbers by ten leaves the answer alone — and a bracket would have to show either the question, which is not what gets worked, or the rewritten sum, which is not what was asked. So each one is a sentence with room underneath, and the rewriting is the work.
Every answer is exact, because every division here was built the other way round: a whole-number division was drawn first and the points put in afterwards, so the rewritten sum is always one that comes out. Some answers are whole and some are not — 0.91 ÷ 0.7 is 1.3 — which is the check that the rewriting was done to both numbers and not just to one of them.
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.
Not in the games. The whole-number division each one turns into is, in The Grid.
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.
