Solve Decimal Division: 14.7 ÷ 0.07 Using Standard Algorithm

Decimal Division with Decimal Divisors

14.7:0.07= 14.7:0.07=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We'll multiply each factor by 100 to make division easier
00:33 We'll perform long division between the new numbers
00:36 We'll try to divide one digit, if not possible we'll add the next one
00:46 We'll check the remainder and continue this way until we get the quotient
01:09 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

14.7:0.07= 14.7:0.07=

2

Step-by-step solution

To solve the division of decimals problem 14.7÷0.07 14.7 \div 0.07 , we'll follow these steps:

  • Step 1: Eliminate the decimals by converting to whole numbers.
  • Step 2: Perform the division with the resulting whole numbers.
  • Step 3: Evaluate the result.

Let's break these steps down:

Step 1: To make the numbers whole, multiply both 14.7 and 0.07 by 100. This shifts the decimal point two places to the right in each number.
14.7×100=1470and0.07×100=7 14.7 \times 100 = 1470 \quad \text{and} \quad 0.07 \times 100 = 7

Step 2: Now, divide the resulting whole numbers:
1470÷7 1470 \div 7

Step 3: Perform the division:
1470÷7=210 1470 \div 7 = 210

Therefore, the calculated result of 14.7÷0.07 14.7 \div 0.07 is 210 210 , matching the correct answer choice.

3

Final Answer

210 210

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert decimals to whole numbers by multiplying both by same power of 10
  • Technique: Move decimal points right equally: 14.7 ÷ 0.07 becomes 1470 ÷ 7
  • Check: Verify 210 × 0.07 = 14.7 to confirm the answer ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal points different amounts
    Don't move the decimal point 1 place in 14.7 but 2 places in 0.07 = unequal transformation! This changes the problem's value completely. Always move decimal points the same number of places in both dividend and divisor.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

22.1-12.0

FAQ

Everything you need to know about this question

Why do I multiply both numbers by 100?

+

You multiply by 100 because the divisor 0.07 has 2 decimal places. This moves both decimal points 2 places right, making both numbers whole while keeping the division equivalent.

What if the dividend has fewer decimal places than the divisor?

+

No problem! Just add zeros as needed. For example, if dividing 5.2 ÷ 0.003, treat 5.2 as 5.200, then multiply both by 1000.

How do I know how many places to move the decimal?

+

Count the decimal places in the divisor (the number you're dividing by). That tells you how many places to move both decimal points to the right.

Can I just ignore the decimals and divide normally?

+

No! You must account for decimal positions. Ignoring them gives completely wrong answers. Always use the multiply-by-power-of-10 method first.

What if my answer seems too big or too small?

+

Use estimation to check! 14.7÷0.07 14.7 ÷ 0.07 is roughly 15÷0.1=150 15 ÷ 0.1 = 150 , so 210 makes sense as it's in the right ballpark.

Why is the answer bigger than the dividend?

+

When you divide by a number less than 1 (like 0.07), the result is always larger than the original number. Think: 'How many 0.07s fit into 14.7?' - quite a few!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations