Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What value should go in the empty box?
![### Decimal Multiplication Example
This example demonstrates how to multiply two decimal numbers:
Given:
\[ 52.416 \]
\[ \times \, 0.73 \]
\[ \underline{157248} \]
We are tasked with performing the multiplication of 52.416 by 0.73 and displaying the result.
Step-by-Step Explanation:
1. Align the numbers based on their decimal points.
2. Perform the multiplication as though working with whole numbers, ignoring the decimal points initially.
3. After obtaining the product, count the total number of decimal places in both the original numbers combined (52.416 has three decimal places, and 0.73 has two, totalling to five decimal places).
4. Place the decimal point in the product so that it has the same number of decimal points as the total calculated in the previous step.
The result given in this example appears to be incomplete, with only the integer part (157248) shown without the decimal point adjustment. The full accurate result should have the decimal point properly placed to reflect the actual value.
The correct answer would be:
\[ 52.416 \times 0.73 = 38.26288 \]
### Key Points:
1. Multiply as if no decimals exist.
2. Count and place the decimal point accurately in the product.
Understanding decimal multiplication is crucial for various applications in math, science, and everyday calculations. For more practice, you can try multiplying different sets of decimal numbers and verifying your results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44bb3f8b-69c4-49ea-b43f-56e8012cfdee%2F746e2202-8182-4362-b5c8-514b19117ead%2Fkyhnhnr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Decimal Multiplication Example
This example demonstrates how to multiply two decimal numbers:
Given:
\[ 52.416 \]
\[ \times \, 0.73 \]
\[ \underline{157248} \]
We are tasked with performing the multiplication of 52.416 by 0.73 and displaying the result.
Step-by-Step Explanation:
1. Align the numbers based on their decimal points.
2. Perform the multiplication as though working with whole numbers, ignoring the decimal points initially.
3. After obtaining the product, count the total number of decimal places in both the original numbers combined (52.416 has three decimal places, and 0.73 has two, totalling to five decimal places).
4. Place the decimal point in the product so that it has the same number of decimal points as the total calculated in the previous step.
The result given in this example appears to be incomplete, with only the integer part (157248) shown without the decimal point adjustment. The full accurate result should have the decimal point properly placed to reflect the actual value.
The correct answer would be:
\[ 52.416 \times 0.73 = 38.26288 \]
### Key Points:
1. Multiply as if no decimals exist.
2. Count and place the decimal point accurately in the product.
Understanding decimal multiplication is crucial for various applications in math, science, and everyday calculations. For more practice, you can try multiplying different sets of decimal numbers and verifying your results.
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