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Chapter 0: Problem 48

\(490.35 \div 100\)

Short Answer

Expert verified
4.9035

Step by step solution

01

Understand the Problem

The task is to divide 490.35 by 100. This involves understanding how dividing by 100 affects a number.
02

Concept of Division by 100

Dividing by 100 means moving the decimal point two places to the left. This is because 100 has two zeros.
03

Perform the Division

Move the decimal point in 490.35 two places to the left. Start moving it one place to the left, which gives 49.035, and then move it once more place which results in 4.9035.
04

Revise your Solution

Check that moving the decimal point two places to the left of 490.35 results in 4.9035.

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Key Concepts

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

Decimal Point Movement
When dividing a number by 100, the easiest way to understand the process is through the concept of decimal point movement. Moving the decimal point helps adjust the value of the number accordingly.
In our case, dividing 490.35 by 100 involves shifting the decimal point two places to the left.
Here's how it works:
* For each zero in 100, move the decimal point one place to the left.
* Since 100 has two zeros, move the decimal point two places.
Start by moving it one place, changing 490.35 to 49.035. Then, move it once more to get 4.9035.
This simple method ensures the correct result without lengthy calculations.
Basic Division
Basic division involves distributing a number evenly by another. To divide without visual aids, like a calculator, follow straightforward rules and strategies.
For example, in the problem 490.35 梅 100, identify that division by 100 simplifies to moving the decimal point.
Essential points to remember:
* Division by 10 moves the decimal one place to the left.
* Division by 100 moves it two places.
Recognizing these patterns makes division less intimidating.
In general, breaking down division into simpler parts or using known rules aids in accuracy and speed.
Place Value
Understanding place value is crucial in mathematics, especially for operations like division. Place value helps determine the value of each digit in a number.
In the number 490.35:
* The 4 is in the hundreds place.
* The 9 is in the tens place.
* The 0 is in the ones place.
* The 3 is in the tenths place.
* The 5 is in the hundredths place.
When we divide by 100, the digits' positions shift to the right. This adjustment reflects accurately when the decimal point moves two places left.
Consequently, 490.35 becomes 4.9035, where each digit's value appropriately changes according to its new position.

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