Solve Decimal Division: 1.49 ÷ 0.2 Step-by-Step

1.49:0.2= 1.49:0.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply each factor by 10 to make division easier
00:25 Perform long division between the new numbers
00:31 Try to divide one digit, if not possible add the next one
00:41 Check the remainder, and continue this way until getting the quotient
01:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

1.49:0.2= 1.49:0.2=

2

Step-by-step solution

To solve the problem of dividing 1.49 by 0.2, we will first remove the decimals by multiplying both the dividend and the divisor by the same power of ten, allowing us to work with whole numbers. This will make division easier and more straightforward.

Steps to solve the problem:

  • Step 1: Identify the decimal point in the divisor, which is 0.2. It has 1 decimal place.
  • Step 2: To eliminate the decimal, multiply both the divisor (0.2) and the dividend (1.49) by 10 (since the divisor has 1 decimal place).
  • Step 3: Performing the multiplication, we have:
    Dividend: 1.49×10=14.9 1.49 \times 10 = 14.9
    Divisor: 0.2×10=2 0.2 \times 10 = 2
  • Step 4: Now, divide the result from Step 3 using whole numbers:
    14.9÷2=7.45 14.9 \div 2 = 7.45

Therefore, the solution to the problem is 7.45 7.45 .

3

Final Answer

7.45 7.45

Practice Quiz

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22.1-12.0

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