Problem 570 Add or subtract. $$ 86.2-100... [FREE SOLUTION]

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Chapter 1: Problem 570

Add or subtract. $$ 86.2-100 $$

Short Answer

Expert verified

The result is -13.8.

Step by step solution

Understand the Problem

The problem requires subtracting 100 from 86.2.

Align Decimal Points

Align the decimal point of 86.2 and 100. Since 100 has no decimal part, it can be written as 100.0 to make the alignment easier.

Perform the Subtraction

Subtract 100 from 86.2. This can be done by writing the numbers in a column format with the decimal points lined up: a) o 86.2 o -100.0 b) Start subtracting from the rightmost digit and move to the left: 0.0 - 2.0 鈫� cannot subtract directly, so we need to borrow 1 from the next column. 10.0 - 2.0 = 8.0, then borrow from 1 of the hundred column 90 - 82 = -14.

Combine Results

Putting it all together, the result of 86.2 - 100 is -13.8.

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Key Concepts

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

Decimal Subtraction

Subtracting decimals can seem tricky, but it's just like regular subtraction with a slight twist. The main rule is to always line up the decimal points vertically. This ensures that you're subtracting the digits in the correct place values. For example, when subtracting 100 from 86.2, you write it as:

86.2
-100.0

In this format, both numbers have their decimal points aligned, making it easier to subtract column by column. Remember, if a whole number like 100 doesn't have a decimal point, you can add one followed by a zero to help with the alignment.

Borrowing in Subtraction

Borrowing is a crucial concept in subtraction, especially when dealing with decimals. It happens when a digit in the minuend (top number) is smaller than the corresponding digit in the subtrahend (bottom number). In our example of 86.2 - 100:

We start from the rightmost digit. Since 0 is smaller than 2, we need to borrow 1 from the next column.
After borrowing, 0 becomes 10 and 2 becomes 12.
Now, we perform the subtraction: 10 - 2 = 8 for the tenths place, and we need to carry over the borrowing adjustment to the next digit.

By borrowing, you ensure each digit can be subtracted properly. It's like temporarily increasing the value of the column you're subtracting from to make the math work.

Negative Numbers in Subtraction

Negative numbers can appear when the subtrahend is larger than the minuend. This results in a negative outcome. In our example:

After borrowing and subtracting, you're left with a negative result.
Subtracting 100 from 86.2 means we end up with -13.8. This indicates that 100 is larger by 13.8 units.

Working through negative numbers is essential in algebra. Being comfortable with these results helps you understand and solve more complex problems later on. Just remember, a negative result means the overall value is less than zero.

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91影视

Add or subtract. $$ 86.2-100 $$

Short Answer

Step by step solution

Understand the Problem

Align Decimal Points

Perform the Subtraction

Combine Results

Key Concepts

Decimal Subtraction

Borrowing in Subtraction

Negative Numbers in Subtraction

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