Fractions, Decimals, and Their Operations
Warm-up
Show $3.47 in coins and bills. What does the 4 represent? (4 dimes = 4 tenths of a dollar.) The 7? (7 pennies = 7 hundredths.) Write: 3.47 = 3 + 4/10 + 7/100. Now write it as a fraction: 347/100. These are all the same number.
Explore
Decimal comparison pairs: given pairs of fractions and decimals (e.g., 0.7 and 3/4; 0.45 and 1/2), students place both on a 0-to-1 number line and determine which is greater. The number line makes the comparison visual and avoids mechanical conversion.
Consolidate
Practice
Students convert 6 decimals to fractions and vice versa, place 8 fractions on a 0-1 number line, and solve 4 decimal addition and subtraction problems. Exit ticket: is 0.8 greater or less than 3/4?
Exit ticket
Students convert 6 decimals to fractions and vice versa, place 8 fractions on a 0-1 number line, and solve 4 decimal addition and subtraction problems. Exit ticket: is 0.8 greater or less than 3/4?
0.63 = 63/100. Expanded: 6/10 + 3/100, or 0.6 + 0.03. In money: 63 cents.
Ones: 3+2=5. Tenths: 7+4=11, write 1, carry 1. Hundreds: 5+8=13, write 3, carry 1. So: 6.23. Check: estimate 4+2=6, answer 6.23 is close.