Understanding Tenths, Hundredths, and Thousandths
Fractions with denominators of 10, 100, and 1000 are special!
They help us talk about parts of things, like pieces of pizza or measurements. The denominator tells us how many equal parts make a whole. When we add or subtract these fractions, we need to make sure they have the same denominator first.
How to Add & Subtract These Fractions
1️⃣ Find a common denominator (make the bottom numbers the same)
2️⃣ Adjust the numerators (change the top numbers to match)
3️⃣ Add or subtract the numerators while keeping the denominator the same
Let's Practice Together!
Example 1: Adding Tenths and Hundredths
Solve: \(\frac{3}{10} + \frac{25}{100}\)
Step 1: Convert \(\frac{3}{10}\) to hundredths: \(\frac{30}{100}\)
Step 2: Now add \(\frac{30}{100} + \frac{25}{100} = \frac{55}{100}\)
Step 3: Simplify: \(\frac{55}{100} = \frac{11}{20}\)
Final Answer: \(\frac{11}{20}\)
Example 2: Subtracting Thousandths
Solve: \(\frac{75}{100} - \frac{125}{1000}\)
Step 1: Convert \(\frac{75}{100}\) to thousandths: \(\frac{750}{1000}\)
Step 2: Now subtract \(\frac{750}{1000} - \frac{125}{1000} = \frac{625}{1000}\)
Step 3: Simplify: \(\frac{625}{1000} = \frac{5}{8}\)
Final Answer: \(\frac{5}{8}\)
Parent Tips 🌟
- Use money to teach: Relate tenths to dimes (10 cents = 1/10 of a dollar), hundredths to pennies (1 cent = 1/100 of a dollar).
- Kitchen math: When baking, show how 1/2 cup is the same as 5/10 cup or 50/100 cup.
- Decimal connection: Help your child see that fractions like 3/10 are the same as 0.3 - this builds decimal understanding.