SchoolTube Community
Have you ever wondered how to add fractions like tenths and hundredths? Or how they relate to decimals? It might seem a little tricky at first, but don't worry, it's actually pretty straightforward! Let's dive in and make fractions and decimals fun and easy to understand.
What are Tenths and Hundredths?
Imagine a delicious pie cut into ten equal slices. Each slice represents one-tenth (1/10) of the whole pie. Now, imagine cutting each of those slices into ten tiny pieces. You would have a hundred pieces in total, and each tiny piece would represent one-hundredth (1/100) of the whole pie.
Decimals: Another Way to Look at Fractions
Decimals are simply another way to write fractions. Remember our pie? We can represent one-tenth (1/10) as 0.1 in decimal form. Similarly, one-hundredth (1/100) is written as 0.01.
Adding Tenths and Hundredths
Let's say you want to add 7 tenths (7/10) and 13 hundredths (13/100). Here's the trick: we need to express both fractions with the same denominator (the bottom number).
Think back to our pie. We can divide each tenth into ten hundredths. This means 7 tenths (7/10) is the same as 70 hundredths (70/100).
Now our problem becomes: 70/100 + 13/100 = ?
Since the denominators are the same, we simply add the numerators (the top numbers): 70 + 13 = 83.
So, the answer is 83 hundredths, which can be written as 83/100 or 0.83 in decimal form.
Making it Stick: Real-World Examples
Think about money! One dime is one-tenth (1/10 or 0.1) of a dollar, and one penny is one-hundredth (1/100 or 0.01) of a dollar. If you have seven dimes and thirteen pennies, you have 83 cents, which is the same as 0.83 of a dollar.
"The power of place value helps us understand our number system and make sense of decimals and fractions."
Key Takeaways
- Tenths and hundredths are fractions that represent parts of a whole.
- Decimals are another way to write fractions.
- To add tenths and hundredths, express them with the same denominator (hundredths).
- Understanding tenths and hundredths is useful in everyday life, from dealing with money to measuring ingredients.
Now you've got the hang of tenths and hundredths! Keep practicing, and you'll be a fraction and decimal whiz in no time!
You may also like