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Multiplying decimals (no standard algorithm)

We'll start with simple problems like 0.9 x 0.2 and build to more complex problems like 3.4 x 6.1.
In this article, you'll learn how to multiply decimals by jumping in and giving it a try without being shown how to do it first.
The problems go from easier to more difficult. Along the way there are examples and explanations to help you out if you get stuck. If you get a little confused, just think of it as a chance to learn!
Let's start by multiplying two tenths together.

Problem set 1:

Problem 1a
0, point, 1, times, 0, point, 5, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Beautiful, let's move on to multiplying whole numbers by tenths and hundredths.

Problem set 2:

Problem 2a
0, point, 8, times, 7, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

Great, let's finish with a few more challenging problems.

Problem set 3:

Problem 3a
0, point, 4, times, 0, point, 62, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

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