Math Problem Statement

this is a decimal division

This is a decimal division problem involving several division queries with decimal numbers.

Solution

The image shows a list of decimal division problems. Let me transcribe and solve them:

  1. 12÷0.0512 \div 0.05
  2. 20.25÷0.920.25 \div 0.9
  3. 45÷245 \div 2
  4. 150÷1.25150 \div 1.25
  5. 676.7÷0.18676.7 \div 0.18
  6. 800÷0.16800 \div 0.16
  7. 60.84÷960.84 \div 9
  8. 8÷0.028 \div 0.02
  9. 676.7÷10676.7 \div 10
  10. 3.33÷10003.33 \div 1000

I'll solve them one by one.

Solutions:

  1. 12÷0.05=24012 \div 0.05 = 240
  2. 20.25÷0.9=22.520.25 \div 0.9 = 22.5
  3. 45÷2=22.545 \div 2 = 22.5
  4. 150÷1.25=120150 \div 1.25 = 120
  5. 676.7÷0.183759.44676.7 \div 0.18 \approx 3759.44
  6. 800÷0.16=5000800 \div 0.16 = 5000
  7. 60.84÷9=6.7660.84 \div 9 = 6.76
  8. 8÷0.02=4008 \div 0.02 = 400
  9. 676.7÷10=67.67676.7 \div 10 = 67.67
  10. 3.33÷1000=0.003333.33 \div 1000 = 0.00333

Would you like further clarification on any of these solutions?


Here are 5 related questions:

  1. What happens when you divide a number by a decimal less than 1?
  2. How can you simplify division when decimals are involved?
  3. Why does dividing by 0.5 double a number?
  4. What are the patterns you notice in dividing by powers of 10?
  5. How does decimal placement change when dividing large and small numbers?

Tip: When dividing by a decimal, it's often helpful to convert both numbers into whole numbers by multiplying by powers of 10. This makes the division easier to compute.

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Math Problem Analysis

Mathematical Concepts

Decimal Division
Division with Decimals

Formulas

Basic division formula: Dividend ÷ Divisor = Quotient

Theorems

Place Value in Decimal Division
Multiplying to Remove Decimals

Suitable Grade Level

Grades 6-8