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Grade 4 · Number

Fractions, Decimals, and Their Operations

Decimals to hundredths are the natural extension of the place value system to the right of the ones position. Tenths are like the tens of the decimal world: 0.4 is four tenths, or 4/10. Hundredths are like ones: 0.07 is seven hundredths, or 7/100. The connection between fractions and decimals is not a coincidence: decimals ARE fractions with denominators that are powers of 10. Students who understand this connection can move fluidly between the two representations.

LESSON VIDEO
Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
Understand decimals to hundredths as fractions with denominators of 10 and 100
Connect decimals and fractions: 0.37 = 37/100 = 3/10 + 7/100
Compare and order fractions with common denominators using benchmarks (0, 1/2, 1)
Add and subtract decimals to hundredths using visual models and place value
Estimate decimal sums and differences
Understand money as a real-world context for decimals to hundredths