Decimal Division

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Questions and Answers

Owen has $2.80 in dimes. Which equation correctly calculates the number of dimes Owen has?

  • $2.80 \div 0.1 = 280$ dimes (correct)
  • $2.80 \div 0.01 = 280$ dimes
  • $2.80 \div 0.01 = 28$ dimes
  • $2.80 \div 0.1 = 28$ dimes

Melanie rides her bicycle 42.4 miles in 10 days, riding the same distance each day. How many miles does she ride each day?

  • 0.424 miles
  • 424 miles
  • 42.4 miles
  • 4.24 miles (correct)

Which equation provides a reasonable estimate for the quotient $7.41 \div 0.08$ using powers of 10 and compatible numbers?

  • $720 \div 8 = 90$
  • $72 \div 8 = 9$ (correct)
  • $70 \div 10 = 7$
  • $70 \div 1 = 70$

Sam is choosing a new cell phone plan. Plan 1 costs $49.99 for 6 GB, Plan 2 costs $75.99 for 9 GB, and Plan 3 costs $34.99 for 3 GB. Which plan offers the lowest cost per gigabyte?

<p>Plan 3 (A)</p> Signup and view all the answers

Which equation does the decimal grid represent?

<p>$0.7 \times 2.8 = 4$ (D)</p> Signup and view all the answers

What is the quotient of $0.20 \div 5$?

<p>0.04 (A)</p> Signup and view all the answers

Which of the following is an equivalent representation of $1.8 \div 3$?

<p>18 tenths$\div 3$ (A)</p> Signup and view all the answers

Lidia uses 1.35 pounds of meat to make 5 sandwiches. If she uses the same amount of meat in each sandwich, how much meat does Lidia use for each sandwich?

<p>0.27 pounds (A)</p> Signup and view all the answers

What is the quotient of $2 \div 0.4$?

<p>5 (B)</p> Signup and view all the answers

Darius runs 15 miles. He runs 0.2 miles each minute. How many minutes does it take Darius to run 15 miles?

<p>75 minutes (D)</p> Signup and view all the answers

Flashcards

Dividing by 0.1

To divide by 0.1, multiply by 10. Move the decimal one place to the right.

Dividing by 0.01

To divide by 0.01, multiply by 100. Move the decimal two places to the right.

Estimate

A number close to the exact amount.

Quotient

The result of dividing one number by another.

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Equivalent representation

Breaking down complex problems into simpler steps.

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Division problem equivalent

Multiply both the divisor and dividend by a power of 10 to make it easier to divide

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Study Notes

  • Owen has $2.80 in dimes, which can be calculated by the equation 2.80 ÷ 0.1 = 28 dimes.
  • Melanie rides her bicycle 42.4 miles in 10 days and rides 4.24 miles each day.
  • Reasonable estimates for the quotient 7.41 ÷ 0.08 using powers of 10 and compatible numbers include 70 ÷ 1 = 70 and 720 ÷ 8 = 90.
  • For cell phone plans, plan 1 costs $49.99 for 6 GB, plan 2 costs $75.99 for 9 GB, and plan 3 costs $34.99 for 3 GB.
  • The plan with the lowest cost per gigabyte is plan 3.
  • 2.8 ÷ 4 = 0.7 equation is represented by the decimal grids shown.
  • The quotient of 0.20 ÷ 5 is 0.04.
  • An equivalent representation of 1.8 ÷ 3 is 18 tenths ÷ 3.
  • Lidia uses 1.35 pounds of meat to make 5 sandwiches, and each sandwich will have 0.27 pounds of meat.
  • The quotient of 2 ÷ 0.4 is 5.
  • Darius runs 15 miles, running 0.2 miles each minute, and it takes him 75 minutes to run 15 miles.
  • The division problem equivalent to 8.96 ÷ 0.32 is 896 ÷ 32.
  • Matthew completed a 26.4-mile race in 2.2 hours, running 12 miles each hour.
  • Randy's statement is incorrect. The correct response is that 9 ÷ 0.06 and 90 ÷ 6 need to be considered in terms of how the decimal point affects the numbers being divided to evaluate its truth.
  • A pizzeria has 4 pounds of tomato sauce and each pizza is expected to used 0.25 pound of tomato sauce which gives a total of 16 pizzas worth of sauce. Therefore, the pizzeria has enough tomato sauce to make 10 pizzas, because 4 / 0.25 = 16 and 16 > 10.
  • Ken wants to buy tiles to cover 20 square yards of flooring and prefers to use fewer than 60 tiles where tile A covers 0.1 square yard, tile B covers 0.25 square yard, and tile C covers 0.4 square yard where for tile A it takes 200 tiles to cover the floor, tile B takes 80 tiles to cover the floor and tile C requires 50 tiles to cover the floor so only tile C allows him to use fewer than 60 tiles.

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