Solve Decimal Multiplication: 0.01 × 44.9 Step-by-Step

Question

0.01×44.9= 0.01\times44.9=

Video Solution

Solution Steps

00:00 Place the decimal point
00:04 Convert from decimal to fraction
00:12 There are 2 zeros in the denominator, so we'll move the point twice:
00:23 And this is the solution to the question

Step-by-Step Solution

To solve the problem of multiplying 0.010.01 by 44.944.9, we follow these steps:

  • Step 1: Convert numbers to eliminate decimals. Multiply 11 by 449449 (as 0.01=11000.01 = \frac{1}{100} and 44.9=4491044.9 = \frac{449}{10}).

  • Step 2: Perform the multiplication 1×4491 \times 449, which equals 449449.

  • Step 3: Adjust for decimal places. Since there are three decimal places combined in 0.010.01 and 44.944.9 (two from 0.010.01 and one from 44.944.9), the result 449449 should have three decimal places.

The correct placement of the decimal point gives us 0.4490.449.

Therefore, the solution to the problem is 0.449\mathbf{0.449}.

Answer

0.449 0.449