Problem 84 Subtract. $$ 0.825-1 $$... [FREE SOLUTION]

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Chapter 1: Problem 84

Subtract. $$ 0.825-1 $$

Short Answer

Expert verified

-0.175

Step by step solution

Align Decimal Points

Align the numbers by their decimal points to ensure accurate subtraction: 0.825 - 1.000

Adjust for Subtraction

To make it easier, think of 1 as 1.000. This means you are essentially subtracting 1.000 from 0.825.

Perform Subtraction

Subtract each column starting from the rightmost digit. If you need to, you can borrow from the left digit: 0.825 - 1.000 = -0.175.

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Key Concepts

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

Aligning Decimal Points

Before you start subtracting decimal numbers, it's crucial to align them by their decimal points. This ensures that each digit is in the correct place value, which makes your calculations accurate.
When you write down the numbers for the problem, place the decimal points one above the other. For example:

0.825
- 1.000

This alignment helps you see which digits to subtract from which. Even if one number has fewer decimal places, like 1 (which we can write as 1.000 for convenience), just ensure the decimal points line up properly.

Borrowing in Subtraction

When subtracting, sometimes you need to borrow from the next digit to the left. This happens when the digit in the subtrahend (the number you are subtracting) is larger than the digit in the minuend (the number you are subtracting from).
For example, in the problem 0.825 - 1.000, you'll notice:

In the thousandths place: 5 is smaller than 0, so you need to borrow.
In the hundredths place: 2 is smaller than 0, so borrowing is needed again.
In the tenths place: 8 is smaller than 1, borrowing once more.

Here is how you do it step by step:
1. Look at the rightmost digits. Borrow from the digit to the left if necessary.
2. Continue borrowing leftwards until no borrowing is needed.
This will ensure that subtraction is possible in each column.

Negative Results in Subtraction

In some cases, subtracting a larger number from a smaller one gives a negative result. This is an essential concept to understand.
Take the subtraction problem 0.825 - 1.000. Since 0.825 is less than 1.000, you'll end up with a negative value:

0.825 - 1.000 = -0.175

To visualize, think of a number line where subtracting a larger number from a smaller one means moving left past zero into negative territory. Understanding this concept helps you recognize when and why results are negative.

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91影视

Subtract. $$ 0.825-1 $$

Short Answer

Step by step solution

Align Decimal Points

Adjust for Subtraction

Perform Subtraction

Key Concepts

Aligning Decimal Points

Borrowing in Subtraction

Negative Results in Subtraction

One App. One Place for Learning.

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