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

Decimal Division with Power Conversion

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

Follow each step carefully to understand the complete solution
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

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by same power of 10 to eliminate decimals
  • Technique: Convert 1.49 ÷ 0.2 to 14.9 ÷ 2 using ×10
  • Check: Verify 7.45 × 0.2 = 1.49 to confirm answer ✓

Common Mistakes

Avoid these frequent errors
  • Only removing decimal from divisor
    Don't multiply just 0.2 by 10 to get 2, then divide 1.49 ÷ 2 = 0.745! This changes the problem completely and gives a wrong answer 10 times smaller. Always multiply both dividend and divisor by the same power of 10.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

33.10-11.10

FAQ

Everything you need to know about this question

Why do I multiply both numbers by 10?

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Multiplying both the dividend and divisor by the same number keeps the division result unchanged! It's like having 62=124=3 \frac{6}{2} = \frac{12}{4} = 3 - the ratio stays the same.

How do I know which power of 10 to use?

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Look at the divisor and count decimal places. Since 0.2 has 1 decimal place, multiply both numbers by 10. If it were 0.02, you'd use 100.

What if the dividend still has decimals after multiplying?

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That's normal! In our example, 1.49 × 10 = 14.9. You can still divide 14.9 ÷ 2 easily using long division or by recognizing 14.9 = 149 ÷ 10.

Can I just move the decimal points instead?

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Yes! Moving the decimal point right is the same as multiplying by 10. Move both decimal points the same number of places to the right.

Why is 7.45 the answer and not 7?

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When you divide 14.9 ÷ 2, you get exactly 7.45, not 7. The .45 part matters - it represents 45 hundredths, which is significant in the final answer.

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