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Chapter 1: Problem 87

What is the greatest two-digit number?

Short Answer

Expert verified
The greatest two-digit number is 99.

Step by step solution

01

Understand the Range of Two-Digit Numbers

Two-digit numbers range from 10 to 99. This means the smallest two-digit number is 10 and the largest two-digit number is 99.
02

Identify the Highest Number in the Range

Out of all two-digit numbers, the largest one is at the end of the range. Hence, the greatest two-digit number is 99.

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Key Concepts

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

two-digit numbers
Two-digit numbers are numbers that have exactly two digits. They start at 10 and go up to 99. The number before a two-digit number is a single-digit number (9), and the number after the last two-digit number is a three-digit number (100). To understand and work with two-digit numbers, it's important to recognize their place value.

Each two-digit number is made up of a tens place and a units place. For example, in the number 45:
  • The digit '4' is in the tens place, representing 40.
  • The digit '5' is in the units place, representing 5.
Knowing how to break down and analyze two-digit numbers can make it easier to perform arithmetic operations and solve problems related to them.
number range
The concept of a number range is essential for understanding the scope of two-digit numbers. A number range is a sequence of numbers that extends from a starting point to an ending point. In the case of two-digit numbers, the range begins at 10 and ends at 99.

Understanding this range helps in many ways:
  • It sets the boundaries for what numbers qualify as two-digit numbers.
  • It aids in identifying the smallest and largest two-digit numbers.
  • It helps in estimation and mental math.
By being aware of the number range, it becomes easier to solve problems that involve finding specific numbers within the range, such as identifying the greatest two-digit number.
largest number
To determine the largest number within a given range, you need to look at the end of the range. In the case of two-digit numbers, we start at 10 and go up to 99.

Since the range is from 10 to 99, you can see that 99 is the biggest number by simply checking the final number in this sequence. This makes 99 the largest two-digit number.

Recognizing the largest number in a range is a key skill in various math problems. It helps in:
  • Finding the maximum value for calculations.
  • Comparing other numbers within a range.
  • Solving optimization problems.
So, the greatest two-digit number is 99.

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