When dividing a number by 100, the decimal point moves two places to the left. This is because dividing by 100 is equivalent to multiplying by [tex]\( \frac{1}{100} \)[/tex], which is [tex]\( 0.01 \)[/tex].
Here is a detailed step-by-step explanation:
1. Understand what division by 100 means:
- Dividing by 100 is the same as multiplying by 0.01.
2. Effect on the decimal point:
- When you multiply a number by 0.01, you are making the number 100 times smaller.
- To make a number 100 times smaller, the decimal point must move two places to the left.
3. Example:
- Consider the number 345.7.
- When you divide 345.7 by 100, you move the decimal point two places to the left.
- Thus, 345.7 becomes 3.457.
Based on this detailed explanation, the correct answer is:
☐ One place to the right
☐ One place to the left
☐ Two places to the right
☑ Two places to the left
