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Chapter 1: Problem 6

Give the place value of each digit in the following numbers. $$789$$

Short Answer

Expert verified
9 is in the units place, 8 is in the tens place, and 7 is in the hundreds place.

Step by step solution

01

Identify Units Place

In the number 789, identify the digit in the units place (ones place). The units place is the rightmost digit of a number. Thus, the digit in the units place is 9.
02

Identify Tens Place

Next, identify the digit in the tens place. The tens place is the second digit from the right. In the number 789, the digit in the tens place is 8.
03

Identify Hundreds Place

Finally, determine the digit in the hundreds place. The hundreds place is the third digit from the right. In 789, the digit in the hundreds place is 7.

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Key Concepts

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

Units Place
The units place, also known as the ones place, is a key concept in understanding place value. In any whole number, this is the digit that holds the smallest value, as it represents the number of ones in the number.
For instance, in the number 789, the rightmost digit is 9. This means there are nine 1s in the number.
To visualize:
  • The units place is the position of the digit furthest to the right.
  • It determines the count of single units or ones.
  • In 789: Units place = 9.
This simple position forms the base of our understanding of numbers and how larger numbers can be constructed.
Tens Place
The tens place is the second digit from the right and plays a crucial role in forming the structure of a number.
This position tells us how many groups of ten are contained within the number.
In 789:
  • The number in the tens place is 8, indicating there are eight tens.
  • This means the value of 8 in this position is 8 脳 10 = 80.
Understanding the tens place helps break down a number into smaller, more comprehensible parts. It essentially adds a layer of numerical value by grouping units into tens.
Hundreds Place
The hundreds place is found as the third digit from the right in a number. This is a fundamental component for grasping larger values in base-ten notation.
Each digit in this place represents how many hundreds are in the number.
Looking at 789:
  • The digit 7 occupies the hundreds place.
  • This indicates seven groups of one hundred.
  • Thus, the total value contributed by this place is 7 脳 100 = 700.
The introduction of this place value allows us to comprehend and represent numbers on a much larger scale, making calculations more manageable.

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Most popular questions from this chapter

Write each of the following sentences as mathematical expressions. The difference of \(25 x\) and \(9 y\) is 16.

Use the definition of exponents as indicating repeated multiplication to simplify each of the following expressions. [Examples \(4-12\) ] $$9^{2}$$

Use the rule for the order of operations to simplify each expression. [Examples \(13-16]\) $$16-4+8$$

Area A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by square tiles, each of which is 1 foot by 1 foot, how many tiles are there surrounding the pool?

Rewrite each of the following using the associative property of addition. $$(4+n)+1$$
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