dividing by decimalVideo Lesson

Grade 6 Lesson 7 Note

In this lesson you will learn and practice a very important skill of dividing decimals using long division. For example, dividing 2.34 by 2 or 34.5 by 0.4.

It is important to understand the place value well and how it affects the final answer.

Sometimes it makes sense to convert a decimal into a fraction to perform division.

0.2 is the same as 2/10

84 divided by 0.2 is the same as 84 multiplied by 10/2, which results in 420.

Grade 6 Workbook (16 pages with answers)

You will also learn how decimals are related to unit conversions (between systems and within each system – metric, imperial, etc).

We focus on converting  metric units of length and mass – cm to m, kg to g and so on. For example, 1000 grams is equal to 1 kilogram, thus 0.001 kilogram is the same as 1 gram.

Metric system became popular in Europe around 1800-s. Merchants required a better system to conduct trade. The old system was replaced by a decimal system, based on kilogram and meter. 

Grade 6 Dividing Decimals and Metric Units Quiz

Welcome to your Grade 6 Dividing Decimals and Metric Units Quiz

Evaluate without a calculator: 7.2 ÷ 2
Divide vertically without a calculator: 243.2 ÷ 8
Evaluate without a calculator: 10.5 ÷ 10
Evaluate the expression:  22.8 ÷ (2.488 + 3.512)
Express in kilometres: 16,000 meters
Express in kilograms: 500 grams