Dividing Decimals by 100
Learn to divide decimals by 100 by moving the decimal point two places to the left, making any number 100 times smaller instantly without a calculator.
Key Concepts
Property When we divide by 100, the decimal point moves two places to the left.
Examples $87.5 \div 100 = 0.875$ $25 \div 100 = 0.25$ $12.5 \div 100 = 0.125$.
Explanation Dividing by 100 is like doing the 'divide by 10' slide twice! The decimal point simply hops two places to the left, making the number 100 times smaller. Imagine the digits marching two spots to the right to their new, smaller place values. This is a powerful shortcut to handle division by 100 mentally and avoid calculators.
Common Questions
How do you divide a decimal by 100?
When dividing by 100, move the decimal point two places to the left. For example, 87.5 ÷ 100 = 0.875. The number of places you move matches the number of zeros in 100.
Why does the decimal point move two places to the left when dividing by 100?
Because 100 has two zeros, each representing a factor of 10. Moving the decimal one place makes a number 10 times smaller, so moving it twice makes it 100 times smaller.
How do you divide a whole number like 25 by 100?
Whole numbers have a hidden decimal point at the end, so 25 is actually 25. — then move that decimal two places left to get 0.25. This works for any whole number divided by 100.
What is the shortcut for dividing by 100 in 6th grade math?
The shortcut is to slide the decimal point two places to the left without doing any long division. For instance, 12.5 ÷ 100 = 0.125, which can be solved mentally in seconds.