Subtracting Decimals with Place Value

Grade 6 Mathematics Understanding decimal subtraction through place value

What Are Decimals?

Numbers that include a decimal point Show parts of a whole number Examples: 3.5, 12.75, 0.8 Used in money, measurements, and scores

Place Value Chart for Decimals

Reading Decimal Place Values

Ones place: whole numbers Tenths place: first digit after decimal Hundredths place: second digit after decimal Example: In 45.67, 4 is tens, 5 is ones, 6 is tenths, 7 is hundredths

Place Value Practice

Look at the number: 23.84 What digit is in the tenths place? What digit is in the ones place? What digit is in the hundredths place?

Why Use Place Value for Subtraction?

Keeps digits lined up correctly Prevents mistakes with decimal placement Makes borrowing easier to see Helps organize our thinking

Example: 5.7 - 2.3

Line up the decimal points 5.7 becomes 5.7 2.3 becomes 2.3 Subtract: 7 - 3 = 4, then 5 - 2 = 3 Answer: 3.4

Guided Practice

Use your place value chart Solve: 8.6 - 3.2 Remember to line up decimal points Work from right to left

Check Your Understanding

What is 9.5 - 4.3? Use your place value chart Show your work Be ready to explain your answer