Solve: Place the Decimal Point in 0.05 × 0.8 = 004

Given the following exercise, find the correct place of the decimal point:

0.05×0.8=004 0.05\times0.8=004

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Place the decimal point
00:03 Count the total number of digits after the decimal point
00:07 According to this sum, we'll place the decimal point in the solution
00:13 We'll move the decimal point by the sum of digits
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the following exercise, find the correct place of the decimal point:

0.05×0.8=004 0.05\times0.8=004

2

Step-by-step solution

To solve for the correct placement of the decimal point in the product of 0.05×0.80.05 \times 0.8, follow these steps:

  • Step 1: Convert the multiplication to a format without decimal points by treating the numbers as whole numbers. Multiply 55 by 88 to get 4040.
  • Step 2: Count the total number of decimal places in the two factors. 0.050.05 has 2 decimal places, and 0.80.8 has 1 decimal place, summing it up to a total of 3 decimal places.
  • Step 3: Position the decimal point in 4040 to achieve 3 decimal places, making it 0.0400.040.

Thus, the product of 0.050.05 and 0.80.8 with the decimal point correctly placed is 0.0400.040.

3

Final Answer

0.040 0.040

Practice Quiz

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\( 0.1 \times 0.008 = \)

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