Problem 47 Fill in the appropriate ordering... [FREE SOLUTION]

91影视

Understanding Elementary Algebra with Geometry

Lewis Hirsch, Arthur Goodman

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 47

Fill in the appropriate ordering symbol: either $<,>,$ or $=$. 19 + 53_____72.

Short Answer

Expert verified

19 + 53 = 72.

Step by step solution

Calculate the left side

First, find the sum of the numbers on the left side of the inequality: 19 + 53. Adding these together gives: 19 + 53 = 72.

Compare both sides

Next, compare the result from the left side with the right side of the inequality. We have:72 on the left side and 72 on the right side.

Determine the correct ordering symbol

Since both sides are equal, the appropriate symbol to use is: 19 + 53 = 72.

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Key Concepts

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

Basic Arithmetic

Basic arithmetic involves simple mathematical operations like addition, subtraction, multiplication, and division. In the given exercise, we need to calculate the sum of two numbers: 19 and 53.

To do this, we simply add the two numbers together:
19 + 53.
The result is:
72.
Understanding basic arithmetic is fundamental because it's the cornerstone for more complex math concepts.

By mastering these basic tasks, students can confidently tackle various problems involving numbers and operations.

Inequality Symbols

Inequality symbols are used to compare the values of two numbers or expressions. The basic inequality symbols include:

'<' : less than
'>' : greater than
'=' : equal to

In the exercise, once we calculated the sum of 19 and 53 as 72, we needed to compare this result with the number 72. Since both values are the same, the correct inequality symbol is '='.

Knowing these symbols is crucial for understanding how numbers relate to each other. When dealing with inequalities, always ensure you place the correct symbol to represent the relationship accurately. This helps in both mathematical accuracy and clear communication of the results.

Comparison of Numbers

Comparing numbers is a fundamental skill in mathematics. It involves determining if one number is smaller, greater, or equal to another number.

In our exercise, after calculating the sum of 19 and 53, we got 72. Now, we need to compare 72 with 72. Since they are the same, we use the '=' symbol.

When comparing numbers, follow these steps:

First, perform any necessary calculations.
Then, compare the final values of the two numbers or expressions.
Finally, choose the correct inequality symbol to show the relationship.

These steps help ensure that your comparisons are accurate and easy to understand.

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91影视

Fill in the appropriate ordering symbol: either \(<,>,\) or \(=\). 19 + 53_____72.

Short Answer

Step by step solution

Calculate the left side

Compare both sides

Determine the correct ordering symbol

Key Concepts

Basic Arithmetic

Inequality Symbols

Comparison of Numbers

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