Problem 563 Add or subtract. $$ 21.76-30... [FREE SOLUTION]

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Chapter 1: Problem 563

Add or subtract. $$ 21.76-30.99 $$

Short Answer

Expert verified

-9.23

Step by step solution

Understand the Operation

The problem requires subtraction: subtract 30.99 from 21.76.

Align Decimal Points

Write the numbers vertically aligning the decimal points. This helps in performing the subtraction correctly: \[ \begin{array}{r} 21.76 \- 30.99 \ \ \ ? \end{array} \]

Subtract from Right to Left

Start from the digits to the right of the decimal point: \[ \begin{array}{r} 21.76 \- 30.99 \ \ \boxed{-9.23} \end{array} \] Since 0.99 is greater than 0.76, you need to borrow. It will become: 0.76 - 0.99 = -0.23 (since we are borrowing)

Subtract Whole Numbers

Subtract the whole numbers now, including the borrowing effect: \[ 21 - 31 = -9 \] Therefore, the final result is \[-9.23 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Subtraction

Subtraction with decimals involves aligning the decimal points to ensure each digit is in its place value. For example, when subtracting 30.99 from 21.76, write them like this:
21.76
-30.99
Notice how each decimal point lines up, ensuring the calculations are accurate. This alignment is crucial for precise subtraction.

Borrowing in Subtraction

When the digit in the subtrahend (the number being subtracted) is larger than the corresponding digit in the minuend (the number from which you subtract), you need to borrow. For instance, with 21.76 - 30.99, look at the digits 6 and 9 after the decimal. 6 is smaller than 9, so we need to borrow from the next higher place value. This borrowing allows us to perform the subtraction correctly:
- Subtract the tenths place: 0.76 - 0.99 is impossible without borrowing. Therefore, we take 1 from the ones place, turning 1.76 into 2.76.
- Now, subtracting becomes easier: 0.76 - 0.99 becomes 7.6 - 9.9, resolving to -0.23.

Negative Numbers

Negative numbers come into play when the subtrahend is larger than the minuend, yielding a negative result. In our example, 21.76 - 30.99, 30.99 is greater than 21.76, leading to a negative value.
When subtracting, and you end with a negative number, interpret it simply as what you owe if you had started with zero. Here, subtracting 21.76 from 30.99 gives us -9.23. The negative sign in front of the number indicates you are below zero.

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91影视

Add or subtract. $$ 21.76-30.99 $$

Short Answer

Step by step solution

Understand the Operation

Align Decimal Points

Subtract from Right to Left

Subtract Whole Numbers

Key Concepts

Decimal Subtraction

Borrowing in Subtraction

Negative Numbers

One App. One Place for Learning.

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