Eighteen decimals with two places, each to be rounded to the nearest tenth: 5.62 to 5.6, 9.78 to 9.8, and 2.97 to 3.0. The hundredths digit is the one that decides, and about one question in four is built so that rounding up carries through a 9.
Round each decimal to the nearest tenth. Look at the hundredths digit: 5 or more rounds up, 4 or less leaves the number as it is.
1.0.05 ≈
2.19.63 ≈
3.5.62 ≈
4.14.42 ≈
5.9.78 ≈
6.8.96 ≈
7.9.95 ≈
8.15.34 ≈
9.3.81 ≈
10.8.97 ≈
11.13.97 ≈
12.3.85 ≈
13.9.08 ≈
14.15.95 ≈
15.8.26 ≈
16.3.98 ≈
17.2.54 ≈
18.0.97 ≈
Rounding decimals
NameDate/ 18
Round each decimal to the nearest tenth. Look at the hundredths digit: 5 or more rounds up, 4 or less leaves the number as it is.
1.0.05 ≈0.1
2.19.63 ≈19.6
3.5.62 ≈5.6
4.14.42 ≈14.4
5.9.78 ≈9.8
6.8.96 ≈9.0
7.9.95 ≈10.0
8.15.34 ≈15.3
9.3.81 ≈3.8
10.8.97 ≈9.0
11.13.97 ≈14.0
12.3.85 ≈3.9
13.9.08 ≈9.1
14.15.95 ≈16.0
15.8.26 ≈8.3
16.3.98 ≈4.0
17.2.54 ≈2.5
18.0.97 ≈1.0
What is on this sheet
The rule most children carry is “5 or more, add one to the last digit”, and it works until the digit is a 9. 2.97 to the nearest tenth is 3.0, not 2.10, and a sheet that never sets that case never finds out whether a child is rounding or just adding one. Here about one question in four is a 9 that has to carry, which is often enough to be practiced and rare enough not to be expected.
Every answer is printed to one place, so 2.97 rounds to 3.0 and not to 3. The zero is not decoration: it says the number was rounded to tenths, which is the whole of what was asked. The builder rounds to the nearest whole number or hundredth as well, and the values always carry one place more than the target, because that is the only digit rounding looks at.
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.
Change what is on 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.
The same facts, on screen
Not in the games, which drill facts rather than number sense.