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Chapter 3: Problem 67

Use \(<\) or \(>\) for \(\square\) to write a true sentence. \(1000 \square 1010\)

Short Answer

Expert verified
1000 < 1010.

Step by step solution

01

Understand the symbols

The symbols '<' and '>' are used for comparing two numbers. '<' means 'less than' and '>' means 'greater than'.
02

Compare the two numbers

Compare the numbers 1000 and 1010. Since 1000 is smaller than 1010, we use the '<' symbol.
03

Write the true sentence

Substitute the '<' symbol in place of the square: ewline 1000 < 1010.

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Key Concepts

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

less than symbol
In mathematics, the less than symbol is used to show that one number is smaller than another. It looks like this: <. When you see this symbol between two numbers, it means the first number is smaller than the second.

For example:
  • 3 < 5
  • 7 < 10
  • 1000 < 1010
In each of these examples, the number on the left side of the less than symbol is smaller than the number on the right side.
greater than symbol
The greater than symbol is used in mathematics to indicate that one number is larger than another. It looks like this: >. When placed between two numbers, it means the first number is greater than the second.

For instance:
  • 5 > 3
  • 10 > 7
  • 1010 > 1000
In these examples, the number on the left side of the greater than symbol is larger than the number on the right side.
comparing numbers
Comparing numbers involves determining whether one number is smaller, larger, or equal to another number. This is done using symbols like < (less than), > (greater than), and = (equal to).

Here are some simple steps to follow when comparing numbers:
  • Look at the digits from left to right.
  • Start with the largest place value (e.g., thousands, hundreds, tens, ones).
  • Compare the digits in each place value.
  • Use the appropriate symbol (<, >, or =) to show the relationship between the two numbers.
For example, when comparing 1000 and 1010, we find:
  • Both numbers have a 1 in the thousands place.
  • Both numbers have a 0 in the hundreds place.
  • Both numbers have a 0 in the tens place.
  • However, in the ones place, 1000 has 0 and 1010 has 1.
Since 0 is less than 1, we can conclude that 1000 is less than 1010, so we write 1000 < 1010.

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Most popular questions from this chapter

Simplify. $$ \frac{7}{8} \div \frac{1}{2} \cdot \frac{1}{4} $$

Simplify. $$ \frac{4}{6} $$

Simplify. $$ \left(\frac{3}{4}\right)^{2}+3 \frac{1}{2} \div 1 \frac{1}{4} $$

Estimate each of the following as \(0, \frac{1}{2},\) or 1 . $$ \frac{5}{12} $$

Add and simplify. $$ \frac{3}{8}+\frac{5}{12}+\frac{8}{15} $$
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