Subtracting Decimals

Subtracting decimals works a lot like regular subtraction, but you have to pay close attention to the digits after the decimal point. Adding and Subtracting Decimals means finding the sum or difference between two decimal numbers, or even between a decimal and a whole number. Students can improve at this by using Adding and Subtracting Decimals Worksheets, which provide plenty of practice to build confidence and accuracy.
 

Decimals come in two forms: like decimals and unlike decimals. Like decimals, decimals have the same number of digits after the decimal point; unlike decimals, decimals have different numbers of decimal places.
 

For instance, 2.24 and 3.75 are like decimals because they both have two decimal places. But 5.676 and 1.90 are unlike decimals because one has three decimal places and the other has two. Working with the Adding and Subtracting Decimals Worksheets helps students learn how to line up decimal points for both operations correctly.
 

To subtract decimals correctly, it’s essential to follow the proper place-value order and line up the decimal points. Learning the steps for adding and Subtracting Decimals becomes much easier with practice, and students can strengthen their skills with subtracting decimals worksheets.

Step 1: Identify the whole-number and decimal parts of each number.
For example, in 22.04 and 33.567, the whole numbers are 22 and 33, and the decimal parts are 0.04 and 0.567.

Step 2: Notice that 22.04 has two decimal places, while 33.567 has 3. Align the decimal points vertically so that the tenths, hundredths, and thousandths places match correctly. This alignment is essential for both adding and subtracting decimals accurately.

Step 3: Subtract the decimal parts starting from the rightmost place value:

Thousandths place:\( 7 – 0 = 7\)

Hundredths place:\( 6 – 4 = 2\)

Tenths place: \(5 – 0 = 5\)

Now subtract the whole numbers:

\(3 – 2 = 1\)

\(3 – 2 = 1\)

Step 4: The final answer is 11.527. Students can strengthen these steps using Subtracting Decimals Worksheets, which give plenty of practice with lining up decimals and subtracting them correctly.

Once you understand the process, follow these rules to subtract decimal numbers: First, align the numbers vertically by their decimal points, ensuring that whole number digits (ones, tens) and decimal digits (tenths, hundredths) correspond.

Let’s quickly take a look at the rules that we must follow.

• When two numbers are given, check the numbers first. If it’s a fraction, convert the fraction into decimals.

• Then place the numbers so that the whole number digits align with their place values (ones, tens, etc.), and the decimal digits are vertically aligned: tenths, hundredths, thousandths, and so on.

• Subtract the subtrahend (second number) from the minuend (first number). If the result is negative, include the negative sign.

• Then, subtract both the whole number and the decimal digits, starting from the right side.
   

Subtracting decimals with regrouping means subtracting the two numbers just like how you subtract between whole numbers. Let’s look at them step-by-step.

Step 1: Let’s take an example of 7.3 and 2.45. First, we have to convert the numbers into decimals. 

Converting 7.3 into two decimal places: 7.30. 

Step 2: Next, regroup the numbers; that is, subtract the smaller number from the larger number (if not specified).

Step 3: Subtract the hundredths place of the decimal first. 

Since 0 is smaller than 5, borrow 1 from the tenths place (3 in the top number).

The 3 becomes 2, and we add 10 to the hundredths place. 
So, \(10 – 5 = 5.\) 

Hundredths place in the answer: 5

Step 4: Next subtract the tenths place.

After borrowing, the digit in the tenths place is 2 (top) and 4 (bottom).

Since 2 is smaller than 4, we borrow 1 from the one's place (7) of the whole number part.

The 7 becomes 6, and we add 10 to the tenths place.

\(10 + 2 = 12\)

Now subtract \(12 – 4 = 8\)

Tenths place in the answer: 8

Step 5: Subtract the one's place of the whole number.

\(6 – 2 = 4\)

One's place in the answer: 4

Step 6: So the answer you get is 4.85.

Subtracting decimals from whole numbers involves subtracting a decimal number from a whole number. For this, you have to first make the whole number as like decimals by adding zeros after the decimal point. For example, 

Question: Subtract 3.33 from 10.

Solution: Convert 10 to 10.00, then subtract\( 3.33 → 10.00 – 3.33 = 6.67. \)

    
Answer: So the answer is 6.67.
 

This refers to subtracting two decimals numbers, both less than 1. For example, 

Question: Subtract 0.03 from 0.85.

Solution: First, analyze which decimal value is greater. Then subtract the smaller one from that. 

Then subtract it, following the same steps as in the previous sections.

Answer: The answer you get is 0.82.
 

Subtracting decimals with the same number of decimal places is like basic subtraction. You can subtract as usual, ignoring the decimal point temporarily. For example, 

Subtract 6.88 from 8.12.

Solution: You can directly start subtracting, since there are an equal number of decimal places. 

Answer: The answer you get is 1.24.
 

While subtracting numbers with different decimal places. It is always mandatory to align the numbers by adding zeros.

For example, Subtract 2.51 from 45.678.

Solution: Add zeros to the number with fewer decimal places to match the other.

Then subtract the values following the steps we did in the previous sections.

Answer: The answer you get is 43.168.

Subtracting decimals can feel tricky at first, especially for students who are still getting used to place values. Here are some simple, student-friendly tips along with ways parents and teachers can guide them for better understanding:
 

• Always write decimal numbers on separate lines and align the decimal points. This helps avoid mistakes. Parents and teachers can remind students to double-check alignment before subtracting.
  
   
• If the numbers don’t have the same number of digits after the decimal, add zeros to make the decimal places equal. This makes the subtraction smoother and easier to follow.
  
   
• Start subtracting from right to left, just like regular subtraction. Parents and teachers can encourage students to work slowly and check each step.
  
   
• When converting a fraction to a decimal, divide the numerator by the denominator. Adults can help by giving simple examples, such as \(1 ÷ 2 = 0.5.\)
  
   
• When subtracting a decimal from a whole number, convert the whole number into a decimal by adding a decimal point and the needed zeros. Parents and teachers can visually show this to students so they see how the place values line up.

Subtracting decimals is a useful skill in everyday life, from handling money to weight differences. Here are some real-life examples where subtracting decimals helps solve common problems. 

• Money transactions: Subtracting decimals is essential for money transactions, such as calculating change or comparing prices.

• Measuring ingredients while cooking: Recipes often require precise measurements, and subtracting decimals helps you determine the remaining amount of an ingredient. For example, if you have 2.5 cups of flour and need 1.75 cups, subtracting decimals (2.5 – 1.75 = 0.75) tells you how much flour remains.

• Height differences: Subtracting decimals helps determine height differences between people, buildings, or plants. 

• Weight difference: Subtracting decimals is useful when comparing the weights of objects, such as fruits, packages, or even people. 

• Calculating time: To calculate how much time left to perform a task or to take a test, subtracting decimals can be used. For example: if a test is of 1.5 hours, and 0.5 hours has already passed, then the remaining time to complete a test is 1.5 – 0.5 = 1.0 hours.