Math with Mr. J: Dividing Decimals Guide

Introduction

• Focus on division involving decimals.
• Covers:
  • Dividing decimals by whole numbers
  • Whole numbers by decimals
  • Decimals by decimals
  • Dividing by mixed decimals
• Importance: Decimals in math and life.
• Goal: Better understanding of dividing decimals.

Dividing Decimals by Whole Numbers

• Example 1: 73.8 ÷ 3
  • Setup: 73.8 is the dividend, 3 is the divisor.
  • Decimal in dividend goes straight up into answer.
  • Process: Divide, multiply, subtract, bring down, repeat.
  • Result: Clean cut zero, final answer 24.6.
• Example 2: 46.62 ÷ 15
  • Similar setup.
  • Use of placeholder zero to continue until clean cut zero.
  • Result: 3.108.

Dividing Whole Numbers by Decimals

• Example 1: 76 ÷ 0.8
  • Make divisor whole by moving decimal.
  • Equivalent problem: 760 ÷ 8.
  • Process and Result: 95.
• Example 2: 22 ÷ 0.16
  • Shift decimals, equivalent problem: 2200 ÷ 16.
  • Use estimation for division.
  • Result: 137.5.

Dividing Decimals by Decimals

• Example 1: 2.66 ÷ 0.7
  • Move decimal, rewrite problem: 26.6 ÷ 7.
  • Process and Result: 3.8.
• Example 2: 88.4 ÷ 0.34
  • Move decimal, equivalent problem: 8840 ÷ 34.
  • Use estimation to find quotient.
  • Result: 260.

Dividing by Mixed Decimals

• Example 1: 3.22 ÷ 1.4
  • Move decimal to make divisor whole.
  • Rewrite: 32.2 ÷ 14.
  • Process and Result: 2.3.
• Example 2: 46.5 ÷ 6.2
  • Shift decimal, equivalent problem: 465 ÷ 62.
  • Estimation and continuation with decimals.
  • Result: 7.5.

Conclusion

• Complete guide to dividing decimals.
• Importance of making divisor whole for process.
• Encouragement to practice and apply skills.