Problem 15 Simplify. $$ 4.2-10.7 $$... [FREE SOLUTION]

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Chapter 15: Problem 15

Simplify. $$ 4.2-10.7 $$

Short Answer

Expert verified

-6.5

Step by step solution

Understand the Problem

You need to simplify the expression by performing the subtraction operation on the numbers provided.

Set Up the Subtraction

Write the expression as is, ensuring both numbers are aligned correctly for subtraction: 4.2 - 10.7

Subtract the Numbers

Perform the subtraction operation: 4.2 - 10.7 = -6.5

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Key Concepts

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

subtracting decimals

When subtracting decimals, alignment is crucial. Make sure to line up the decimal points to ensure each place value is accurately represented. For example, in our given problem 4.2 - 10.7, align the numbers like this: 4.2
- 10.7. Before you subtract, you might want to add an extra zero to help visualize the place value: 4.20 - 10.70. This makes the subtraction process clearer.
Perform the subtraction by starting from the rightmost digit (hundredths place) and moving left. If needed, borrow from the next column to complete the operation. In this example, it is evident that borrowing is needed because 4.2 is smaller than 10.7.

negative numbers

Understanding negative numbers is essential for solving this problem. When the result of subtraction is less than zero, you'll end up with a negative number. For 4.2 - 10.7, you can think about it as removing a larger amount from a smaller amount.
This results in a negative difference of -6.5. Negative numbers are represented with a minus sign (-) before them and indicate values less than zero. In real-world terms, it鈥檚 like owing money; if you have 4.2 dollars and you owe 10.7 dollars, you鈥檒l be short by 6.5 dollars, represented as -6.5.

arithmetic operations

Arithmetic operations include addition, subtraction, multiplication, and division. In this exercise, we're focused on subtraction. Subtraction indicates taking one quantity away from another.
Performing the subtraction operation with decimals works the same as with whole numbers, but always remember to align the decimal points and handle any borrowing properly.
Key steps to perform any subtraction operation are:

Align the numbers by their decimal points.
Start subtracting from the rightmost digit.
Borrow from the next column if necessary.

In the example of 4.2 - 10.7, borrowing is required and careful alignment of decimal points is crucial.

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91影视

Simplify. $$ 4.2-10.7 $$

Short Answer

Step by step solution

Understand the Problem

Set Up the Subtraction

Subtract the Numbers

Key Concepts

subtracting decimals

negative numbers

arithmetic operations

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