Math Problem Statement

Can you show me in image 17.2 didvid by 0.2 step by step

Solution

The image shows the step-by-step process of dividing 17.2 by 0.2:

  1. Start with 17.2÷0.217.2 \div 0.2.
  2. Multiply both the numerator (17.2) and the denominator (0.2) by 10 to eliminate the decimal in the denominator.
  3. The numerator becomes 172172, and the denominator becomes 22.
  4. Now, divide 172÷2172 \div 2, which equals 8686.

Let me know if you'd like more details or further clarification.

Relative Questions:

  1. How does multiplying by 10 help in division?
  2. What if the denominator was 0.50.5 instead of 0.20.2?
  3. Can you explain why the decimal places are handled this way?
  4. How would this division look if you expressed 17.2 as a fraction?
  5. Is there an alternative way to approach this calculation without multiplying by 10?

Tip: When dividing by a decimal, it's often easier to eliminate the decimal by multiplying both numbers by powers of 10.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Division with Decimals
Basic Arithmetic

Formulas

Division Formula: a ÷ b = a × (1/b)

Theorems

Decimal Division Rule: Multiplying both numerator and denominator by powers of 10 to eliminate decimals

Suitable Grade Level

Grades 6-8