Multiplying and dividing decimals by 10, 100 and 1000 worksheets
Eighteen questions of the form 3.7 × 100 and 48 ÷ 1000, mixing two-place decimals with whole numbers, multiplied and divided by ten, a hundred and a thousand. The instruction line says how: the digits move, and the point stays where it is.
Work out each answer. To multiply by 10, move every digit one place to the left; to divide by 10, move every digit one place to the right. The digits move; the point stays where it is.
1.97.13 × 100 =
2.71.36 × 1000 =
3.48.4 ÷ 100 =
4.16 × 10 =
5.75.95 × 100 =
6.43 × 10 =
7.21 ÷ 100 =
8.19.1 ÷ 100 =
9.98.46 × 1000 =
10.33 ÷ 10 =
11.72 × 100 =
12.5 × 100 =
13.98 ÷ 100 =
14.68 × 1000 =
15.69 ÷ 1000 =
16.93 ÷ 1000 =
17.29.15 × 10 =
18.93.94 × 1000 =
Multiplying and dividing by 10, 100 and 1000
NameDate/ 18
Work out each answer. To multiply by 10, move every digit one place to the left; to divide by 10, move every digit one place to the right. The digits move; the point stays where it is.
1.97.13 × 100 =9713
2.71.36 × 1000 =71360
3.48.4 ÷ 100 =0.484
4.16 × 10 =160
5.75.95 × 100 =7595
6.43 × 10 =430
7.21 ÷ 100 =0.21
8.19.1 ÷ 100 =0.191
9.98.46 × 1000 =98460
10.33 ÷ 10 =3.3
11.72 × 100 =7200
12.5 × 100 =500
13.98 ÷ 100 =0.98
14.68 × 1000 =68000
15.69 ÷ 1000 =0.069
16.93 ÷ 1000 =0.093
17.29.15 × 10 =291.5
18.93.94 × 1000 =93940
What is on this sheet
“Move the decimal point” is the rule most adults were taught, and it is not what this sheet says. The digits move — one place to the left for every ten multiplied by, one to the right for every ten divided by — and the point stays put, because a digit one column to the left is worth ten times as much, and that is the reason the answer is what it is. The two pictures give the same answers; the digits-move one keeps a child saying what each digit is now worth.
A third of the questions are whole numbers, and the divisions among them — 48 ÷ 1000 is 0.048 — are the ones a child who has only ever slid a point along a decimal has nowhere to start on. Answers never run past three places, no value on the sheet ends in a zero, and a whole number that turns into a decimal keeps its leading zero: 0.048, never .048.
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. The ten times table it rests on is, in The Grid.
