Math Example--Decimal Concepts--Subtracting Decimals: Example 8

Topic

Decimals

Description

This example illustrates the process of subtracting decimals with different numbers of decimal places and multiple regrouping steps. The problem presented is 0.548 - 0.27. The solution involves aligning the decimal points, adding a zero as a placeholder, and performing column subtraction with regrouping in both the tenths and hundredths places. By following this method, students can solve the problem step-by-step and arrive at the correct answer of 0.278.

Subtracting decimals with different numbers of decimal places and multiple regrouping steps is an advanced skill in mathematics that builds upon students' understanding of place value, basic arithmetic operations, and the concept of regrouping. This collection of examples helps teach the topic by providing clear, visual representations of the subtraction process, including cases where zeros need to be added as placeholders and regrouping is necessary across multiple place values. Students can observe how to align decimal points, add zeros when needed, and perform the subtraction column by column, even in more complex scenarios.

Offering multiple worked-out examples is crucial for students to fully grasp the concept of decimal subtraction, especially when dealing with numbers that have different numbers of decimal places and require multiple regrouping steps. Each example in this collection showcases different scenarios, helping students develop a comprehensive understanding of the process and gain confidence in their ability to subtract decimals accurately, even in more challenging situations.

Teacher's Script: Let's examine our eighth example of subtracting decimals, which involves numbers with different decimal places and multiple regrouping steps. We have 0.548 minus 0.27. First, let's align the decimal points and add a zero to 0.27 to make it 0.270. This doesn't change its value, but it helps us line up our place values. Starting from the right, we have 8 thousandths minus 0 thousandths, which equals 8 thousandths. Moving to the hundredths column, we have 4 hundredths minus 7 hundredths, which we can't do. So, we need to regroup. We borrow 1 tenth from the 5 tenths, making it 4 tenths, and add 10 hundredths to our 4 hundredths, making it 14 hundredths. Now we can subtract: 14 hundredths minus 7 hundredths equals 7 hundredths. Finally, in the tenths column, we have 4 tenths minus 2 tenths, which equals 2 tenths. So, our final answer is 0.278. Remember, when subtracting decimals with different numbers of decimal places and multiple regrouping steps, take your time, align the decimal points, add zeros as placeholders when necessary, and work through each column carefully!

For a complete collection of math examples related to Subtract Decimals click on this link: Math Examples: Subtracting Decimals Collection.