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Practice Problems for 5.2 and 5.3. Multiply 3.47 by 2.9. Steps! Take away the decimals. 347 * 29. Use the multiplication algorithm. 347 * 29 = 10063 Count the decimal places! 3.47 has 2 decimal places. 2.9 has 1 decimal place. Add the decimal places. 2 + 1 = 3.
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Multiply 3.47 by 2.9 • Steps! • Take away the decimals. • 347 * 29. • Use the multiplication algorithm. • 347 * 29 = 10063 • Count the decimal places! • 3.47 has 2 decimal places. • 2.9 has 1 decimal place. • Add the decimal places. • 2 + 1 = 3. • Move decimal places from the right. • 10063.0 becomes 10.063
Multiply 49.9 by 7.35 • Steps! • Take away the decimals. • 499 * 735 • Use the multiplication algorithm. • 499 * 735 = 366765 • Count the decimal places! • 49.9 has 1 decimal place. • 7.35 has 2 decimal places. • Add the decimal places. • 1 + 2 = 3. • Move decimal places from the right. • 366765.0 becomes 366.765
Multiply 6.251 by 52.4466 • Steps! • Take away the decimals. • 6251 *524466 • Use the multiplication algorithm. • 6251 *524466 = 3278436966 • Count the decimal places! • 6.251 has 3 decimal places. • 52.4466 has 4 decimal places. • Add the decimal places. • 3 + 4 = 7. • Move decimal places from the right. • 3278436966.0 becomes 327.8436966
Write a story problem for 4.2 * 3.17 • Jenny put 4.2 gallons of gas into her pink Jeep. Each gallon costs $3.17. How much did she pay for gas?
Write a story problem for 1.8 * 5.42 • Tommy went to FoodTown and bought 1.8 pounds of chicken. Each pound of chicken costs $5.42. How much did Tommy pay for chicken?
Write a story problem for 16 * 2.28 • Marissa has 16 pairs of shoes. Each pair of shoes weights 2.28 pounds. How much do her shoes weigh in total?
Fill in the blanks! a. A positive number * a positive number = a ________ number. b. A positive number * a negative number = a _________ number. c. A negative number * a positive number = a __________ number. d. A negative number * a negative number = a _________ number. • Answers a. Positive b. Negative c. Negative d. Positive
What property explains why -4 * 6 = 6 * -4 • The commutative property of multiplication.
What is -9 * 7 • Answer: -63 • Why? • 9 * 7 = 63 • One of the multiples is positive and the other is negative, therefore the solution is negative.
What is -5 * -5 • Answer: 25 • Why? • 5*5 = 25 • Both of the multiples are negative; therefore the solution is positive.