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Chapter 1: Problem 88

What is the greatest three-digit number?

Short Answer

Expert verified
The greatest three-digit number is 999.

Step by step solution

01

Understand Three-Digit Numbers

Three-digit numbers range from 100 to 999. The first digit (hundreds place) can be any number from 1 to 9, the second digit (tens place) can be any number from 0 to 9, and the third digit (units place) can be any number from 0 to 9.
02

Identify the Upper Limit

Since the range of three-digit numbers ends at 999, we need to determine if this is the greatest number that fits within the three-digit category.
03

Confirm the Greatest Number

The number 999 is the greatest three-digit number because it is the highest number within the range of 100 to 999. There's no three-digit number greater than 999.

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Key Concepts

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

Three-Digit Numbers
A three-digit number is any number that has three places for digits. The value of these numbers ranges from 100 up to 999. This is because the smallest three-digit number is 100 and the largest is 999. Three-digit numbers are essential as they are commonly used in everyday calculations and measurements.
Number Range
The number range for three-digit numbers spans from 100 to 999. This means that these numbers will always have three digits. The first digit must be a number between 1 and 9, ensuring the number occupies the hundreds place. The second and third digits can be any number from 0 to 9. This gives us a comprehensive range of numbers that are easy to work with and identify.
Hundreds Place
In three-digit numbers, the hundreds place is one of the key positions. The digit here can be any number from 1 to 9. It determines the overall magnitude of the number as being in the hundreds level rather than thousands or tens. For example, in the number 432, the digit '4' is in the hundreds place, indicating four hundred plus additional tens and units.
Tens Place
The tens place in a three-digit number represents the number of complete sets of ten within the number. It can be any digit from 0 to 9, allowing for values from zero tens (which would be represented as simply the hundreds and units) up to ninety (adding significantly to the total number). In 432, '3' is in the tens place, meaning there are thirty in addition to the hundreds and units.
Units Place
The units place is the rightmost or last digit in a three-digit number. It can be any digit from 0 to 9. This place value represents the smallest component of a number. For instance, in the number 432, the digit '2' occupies the units place, contributing two to the overall number. Adding or changing the units place can often subtly change the value of the number without affecting the hundreds or tens digits.

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Most popular questions from this chapter

Researchers calculate that about \(590,712\) stone blocks were used to construct the Great Pyramid. Write the number \(590,712\) in words.

Write the number in words. $$400,199$$

Fill in the blank with the inequality symbol \(<\) or \(>\). $$21 \square 18$$

A case of tomato sauce contains 32 cans. If a grocer has 168 cans, how many cases can he fill completely? How many cans will be left over?

Fill in the blank with the inequality symbol \(<\) or \(>\). $$90 \square 91$$
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