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Chapter 1: Problem 2

Give the place value of each digit in the following numbers. $$93$$

Short Answer

Expert verified
9 is in the tens place, and 3 is in the ones place.

Step by step solution

01

Understand Place Values

Every digit in a number has a place value depending on its position. Each position represents a power of 10, starting from the rightmost digit (ones place) and moving leftward to tens, hundreds, etc.
02

Identify the Place of Each Digit

In the number 93, identify the place value of each digit. The rightmost digit is in the 'ones' place, and the digit before it is in the 'tens' place.
03

Assign Place Values to Each Digit

For the number 93: - The digit 3 is in the 'ones' place, so its place value is 3. - The digit 9 is in the 'tens' place, so its place value is 90.

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Key Concepts

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

Understanding the Tens Place
The tens place is the position second to the right in a whole number. It tells us how many tens there are in the total amount, and each digit in this position represents the number times ten. For example, in the number 93, the digit 9 is in the tens place. This means it represents 90 because it鈥檚 9 times 10.

When trying to determine the place value of a number in the tens place, consider:
  • The position itself, which is directly to the left of the ones place.
  • Multiplying the digit by 10 to get its actual value.
So, always remember that the tens place can significantly change the number's value by a factor of ten compared to the ones place!
Decoding the Ones Place
In any number, the ones place is always the rightmost digit. This is the simplest to understand as it represents the number of ones in the number. No multiplication is needed here because the place value is the same as the digit itself. Looking at our number 93, the digit 3 is in the ones place, meaning it literally represents 3 ones, which is simply 3.

Here's how you can think about the ones place:
  • It determines how many single units, or individual items, you have.
  • It's always the starting point when reading a number from right to left.
Keep in mind, counting starts at the ones place, giving it a foundational role in understanding number positions.
Exploring Number Positions
Each digit in a number holds a unique position, which gives it a specific place value. Understanding number positions is key to comprehending place value. A number is read from right to left when determining these positions, starting with the ones place, then moving to the tens, hundreds, and so on.

Here鈥檚 what you need to consider:
  • The farther left you go, the larger the place value grows by a power of ten.
  • Each position depends on the base-10 system, which multiplies by ten as you shift left from the ones place.
  • For example, in the number 93, you have two positions to analyze: the ones and tens.
Grasping each position's contribution will boost your number literacy and enable you to quickly discern the structure of almost any numeric figure.

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Most popular questions from this chapter

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