Problem 20 Place the correct symbol, \(<... [FREE SOLUTION]

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Chapter 1: Problem 20

Place the correct symbol, $<$ or $>,$ between the two numbers. $$68 \quad 41$$

Short Answer

Expert verified

68 $>$ 41

Step by step solution

Identify the Two Numbers

The two numbers given in this problem are 68 and 41.

Compare the Two Numbers

Compare the two numbers. Since 68 is greater than 41, the symbol should reflect this.

Place the Symbol

As 68 is greater than 41, the symbol to be placed between these two numbers is $>$. The final answer becomes 68 $>$ 41.

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Key Concepts

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

inequality symbols

Inequality symbols are used in mathematics to show the relationship between two numbers or expressions. These symbols help determine whether one value is larger, smaller, or equal to another value.
The key symbols in inequalities include:

< involves using the "less than" symbol, which is shaped like a left-pointing arrow.
> involves using the "greater than" symbol, which points to the right.
= is the "equal to" symbol and shows that two values are the same.

Understanding inequality symbols is essential as they allow us to properly arrange numbers, solve inequalities in algebra, and conduct operations with ease. By knowing which symbol to use, students can represent mathematical relations accurately.

greater than

The "greater than" symbol is written as > and is used to express that one number is larger than the other. When comparing two numbers, if the first number is larger, you use the > symbol between them.
For instance:

If we have 68 and 41, since 68 is more than 41, it can be written as 68 > 41.
If you compare 100 and 50, 100 > 50 because 100 is larger.

The greater than symbol always points to the smaller number, which can help you remember its direction. It's like a hungry alligator mouth eagerly eating the larger number. Practicing with greater than comparisons strengthens number sense and helps develop understanding of number sizes.

less than

The "less than" symbol is opposite to "greater than" and is written as <. It indicates that the number on the left is smaller than the number on the right. In any comparison, if the first number is less, the < symbol is used.
Consider these examples:

35 < 50 shows that 35 is less than 50.
When comparing 10 and 20, the comparison is 10 < 20, meaning 10 is less than 20.

Similar to the greater than symbol, the less than symbol < always points toward the smaller number. You can also think of it as an arrow pointing to the position with fewer items or value. Using the less than symbol effectively tells us not only the order of numbers, but also strengthens the skill of estimating and approximating values.

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91影视

Place the correct symbol, \(<\) or \(>,\) between the two numbers. $$68 \quad 41$$

Short Answer

Step by step solution

Identify the Two Numbers

Compare the Two Numbers

Place the Symbol

Key Concepts

inequality symbols

greater than

less than

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