Exploring Place Value to Thousandths
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Exploring Place Value to Thousandths
Grade 5 Mathematics Understanding decimal place value patterns
Review: Our Place Value System
Every place has a value 10 times larger than the place to its right The ones place is in the center We have whole numbers on the left, decimal fractions on the right Each place follows the same pattern
Building Our Place Value Chart
Start with 1 million Divide by 10 to find the next smaller unit Continue the pattern: million → hundred thousand → ten thousand What happens when we reach hundredths?
What Comes Next?
We know the pattern: Tens ↔ Tenths Hundreds ↔ Hundredths What place value comes after hundredths?
Meet the Thousandths Place!
Thousandths is 1/10 as large as hundredths It takes 10 thousandths to make 1 hundredth Just like our pattern with other places 1 hundredth ÷ 10 = 1 thousandth
Multiplying by 10, 100, 1000
{"left":"0.4 × 10 = 4\n0.04 × 10 = 0.4\n0.004 × 10 = 0.04\n0.004 × 1000 = 4","right":"4 tenths becomes 4 ones\n4 hundredths becomes 4 tenths\n4 thousandths becomes 4 hundredths\nDigits shift left when multiplying"}
Division Practice
Try these with your partner: 60 ÷ 10 60 ÷ 100 60 ÷ 1000 Use your place value chart to show the movement!
Mixed Numbers and Thousandths
2.43 × 10 = 24.3 2.43 × 100 = 243 2.43 × 1000 = 2430 Watch how each digit's value changes!
Real World Connection
A microscope magnifies objects 100 times A tiny insect measures 0.095 cm How long will it appear through the microscope? Use your place value understanding!
Key Takeaways
Thousandths follows the same pattern as other places Multiplying by 10 moves digits one place left Dividing by 10 moves digits one place right Place value helps us understand number relationships Unit language helps us think clearly about decimals