What is the Hundredths Place?

S1-SA2-0250

Grade Level:

Class 4

Maths, Finance, Science, Computing, AI

Definition

What is it?

The hundredths place is the second digit after the decimal point in a number. It represents parts of a whole that have been divided into 100 equal pieces. For example, in 0.25, the '5' is in the hundredths place.

Simple Example

Quick Example

Imagine you are buying a packet of biscuits that costs ₹12.75. The '7' is in the tenths place (70 paise), and the '5' is in the hundredths place (5 paise). This means the price is 12 rupees and 75 paise, where 75 paise is 75 out of 100 parts of a rupee.

Worked Example

Step-by-Step

Let's find the digit in the hundredths place for the number 345.678.

Step 1: Identify the decimal point. In 345.678, the decimal point is between 5 and 6.
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Step 2: Understand place values after the decimal point. The first digit after the decimal is the tenths place.
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Step 3: The second digit after the decimal is the hundredths place.
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Step 4: Look at 345.678. The digit '6' is in the tenths place.
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Step 5: The digit '7' is the second digit after the decimal point.
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Step 6: Therefore, the digit in the hundredths place is 7.

Answer: The digit in the hundredths place is 7.

Why It Matters

Understanding the hundredths place is crucial for handling money, measurements, and data accurately. It's used in finance for calculating interest, in science for precise measurements like in chemistry labs, and in computing for representing exact values. Engineers, scientists, and financial analysts use this concept daily.

Common Mistakes

MISTAKE: Confusing the hundredths place with the hundreds place. For example, in 123.45, thinking '1' is in the hundredths place. | CORRECTION: The hundreds place is before the decimal point (e.g., '1' in 123). The hundredths place is after the decimal point (e.g., '5' in 123.45).

MISTAKE: Counting the hundredths place as the third digit after the decimal point. For example, in 0.123, thinking '3' is in the hundredths place. | CORRECTION: The hundredths place is always the SECOND digit after the decimal point. In 0.123, '2' is in the hundredths place and '3' is in the thousandths place.

MISTAKE: Ignoring trailing zeros. For example, thinking 0.5 is different from 0.50 when identifying the hundredths place. | CORRECTION: 0.5 can be written as 0.50, where '0' is in the hundredths place. Adding zeros at the end of a decimal does not change its value but helps identify the place value.

Practice Questions

Try It Yourself

QUESTION: What digit is in the hundredths place in the number 7.829? | ANSWER: 2

QUESTION: A tailor measures a fabric piece as 15.03 meters. What digit represents the hundredths of a meter? | ANSWER: 3

QUESTION: Write a decimal number where the digit in the tenths place is 6 and the digit in the hundredths place is 1. | ANSWER: 0.61 (or any number like 5.61, 10.61, etc.)

MCQ

Quick Quiz

Which of these numbers has '4' in the hundredths place?

12.4

4.01

1.245

The Correct Answer Is:

In 1.245, the '2' is in the tenths place, and the '4' is in the hundredths place. In 12.4, '4' is in the tenths place. In 4.01, '1' is in the hundredths place. In 14.0, there are no digits in the decimal places other than a zero.

Real World Connection

In the Real World

When you check your bank balance or a UPI transaction, amounts like ₹500.25 show money with rupees and paise. The '2' is in the tenths place (20 paise) and the '5' is in the hundredths place (5 paise). This precise handling of decimal places ensures your transactions are always accurate down to the last paisa.

Key Vocabulary

Key Terms

DECIMAL POINT: A symbol (.) used to separate the whole number part from the fractional part of a number | PLACE VALUE: The value of a digit based on its position in a number | TENTHS PLACE: The first digit after the decimal point, representing 1/10 of a whole | HUNDREDTHS: One part out of a hundred equal parts of a whole

What's Next

What to Learn Next

Great job understanding the hundredths place! Next, you can explore the 'thousandths place' and beyond. This will help you understand even smaller parts of a whole and make you a master of decimals!