Math Class - Division and Decimals
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Questions and Answers

Owen has $2.80 in dimes. Which equation shows how many dimes Owen has?

  • 2.80 ÷ 0.1 = 280 dimes
  • 2.80 ÷ 0.01 = 28 dimes
  • 2.80 ÷ 0.1 = 28 dimes (correct)
  • 2.80 + 0.01 = 280 dimes

Melanie rides her bicycle 42.4 miles in 10 days. If she rides the same number of miles each day, how many miles does she ride each day?

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

Which equation is represented by the decimal grids shown?

  • 0.8 ÷ 4 = 0.7 (correct)
  • 0.7 + 2.8 = 4
  • 28 + 0.7 = 40
  • 2.8 + 4 = 0.7

What is the quotient of 0.20 ÷ 5?

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

Which is an equivalent representation of 1.8 ÷ 3?

<p>18 tenths ÷ 3 (C)</p> Signup and view all the answers

Rhea is purchasing a new computer for $570.00. She has a $50.00 gift card she can apply to her purchase. If she makes 20 equal monthly payments to pay for the new computer, how much will she pay each month?

<p>$26.00 (D)</p> Signup and view all the answers

Morris is buying a camera and 5 rolls of film. He is charged $11.97 tax for his total purchase. After Morris pays with 10 twenty-dollar bills, what change should he get back?

<p>$28.96 (B)</p> Signup and view all the answers

Henri has $22.50 to spend on snacks. He spends $2.25 per day on snacks. He wants to buy snacks for 12 days. Does Henri have enough money?

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

If not, how much more money does Henri need?

<p>$5.40 (A)</p> Signup and view all the answers

Sabrina has $2.95. She needs 4 times as much money to buy a school binder. Select the correct words below to find a reasonable estimate and product.

<p>$8.00, $9.00, $10.00, $12.00 (A), $8.60, $11.80, $12.00, $1,180.00 (B)</p> Signup and view all the answers

What is the missing value: 7.35 ÷ [blank] = 0.735 ?

<p>1 (B)</p> Signup and view all the answers

What is the missing value: [blank] x 0.01 = 0.068?

<p>6.8 (B)</p> Signup and view all the answers

Which equation shows a reasonable estimate for the quotient of 7.99 ÷ 0.48?

<p>70 ÷ 10 = 7 (A)</p> Signup and view all the answers

What is the quotient of 2 ÷ 0.1?

<p>20 (A)</p> Signup and view all the answers

Flashcards

Total dimes calculation

Find the number of dimes in $2.80 by dividing by the value of a dime ($0.10).

Melanie's daily bike distance

To find daily distance, divide total miles by days (42.4 miles / 10 days).

Decimal grids interpretation

Identify the equation represented by decimal grids visually showing numbers divided.

Quotient of a decimal division

Calculate 0.20 divided by 5 to find the result.

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Equivalent representation of division

1.8 divided by 3 can also be seen as 18 tenths divided by 3.

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Monthly payments for a computer

Subtract the gift card value from total price, then divide by total payments to find monthly payment amount.

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Change from a purchase

After paying with ten $20 bills, calculate how much change is received after tax.

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Henri's snack budget

Determine if Henri's budget can cover daily snack expenses for 12 days by calculating the total cost.

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Sabrina's binder cost

Estimate how much money is needed to buy 4 times the current amount she has ($2.95).

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Finding a missing value in division

Determine the missing factor when given a quotient, such as 7.35 divided by how much equals 0.735.

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Finding a missing value in multiplication

Identify the missing number in an equation where a number times 0.01 equals 0.068.

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Estimating a quotient

Estimate the quotient of 7.99 divided by 0.48 using simpler numbers.

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Quotient of whole number and decimal

Calculate the quotient of 2 divided by 0.1, knowing that dividing by a decimal increases the number.

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Understanding dimes' value

Each dime represents 0.10 dollars; so how many dimes in $2.80?

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Daily biking routine

Daily miles are determined by total miles over number of days for consistent riding.

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Recognizing equivalent equations

Identify equivalent forms of numbers in a division structure.

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Calculating exact amount needed

Find out how much more money is needed if Henri's budget is insufficient.

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Understanding tax in purchases

Calculate purchase cost, including tax, to find change from payment.

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Sabrina's financial reasoning

Estimate and calculate what Sabrina needs in total for her purchase.

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Understanding decimal division

Learn what divisor gives a specific quotient when dealing with decimals.

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Understanding dimension reduction

Learn how multiplication impacts numerical scaling in reverse division scenarios.

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Application of estimating methods

Use traditional estimating methods to verify results in decimal math interactions.

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Exploring product outcomes

Look at the impact of multiplying decimals directly for understanding outputs.

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Identifying financial management

Understanding spending limits aids in resource allocation for planned purchases.

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Interpreting division of larger numbers

Analyze how division alters numerical perceptions when decimals are involved.

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Understanding proportion in division

Proportional relationships in division indicate scale and context of outcomes.

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Evaluating purchases with transfers

Evaluate transactions by recoding funds with deductions for exact amounts.

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Using decimal values for daily consumption planning

Learn the scale of daily consumption by allocating limited resources effectively.

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Study Notes

Section 1

  • Question 1: Owen has $2.80 in dimes. The correct equation to find the number of dimes is 2.80 ÷ 0.10 = 28 dimes.

  • Question 2: Melanie rides her bicycle 42.4 miles in 10 days. To find the miles per day, divide the total miles by the number of days: 42.4 miles ÷ 10 days = 4.24 miles/day.

  • Question 3: The provided decimal grids are missing, so it's impossible to determine the equation represented. Further information is needed for this question.

Section 2

  • Question 4: To find the quotient of 0.20 ÷ 5, divide 0.20 by 5: 0.20 ÷ 5 = 0.04

  • Question 5: The equivalent representation of 1.8 ÷ 3 is 18 tenths ÷ 3 which simplifies to 6 tenths.

Section 3

  • Question 6: Rhea is buying a computer for $570.00, with a $50.00 gift card. This leaves $520.00 to be paid. To find the monthly payment, divide the remaining amount by the number of months (20): $520.00 ÷ 20 months = $26.00/month.

  • Question 7: Morris bought a camera for $129.59 and 5 rolls of film for $8.29 each. The total cost before tax is $129.59 + ($8.29 x 5) = $129.59 + $41.45 = $171.04. He paid $171.04 + $11.97 (tax) = $183.01. He paid with $10 twenty-dollar bills, which is $200. The change he should receive is $200.00 - $183.01 = $16.99.

Section 4

  • Question 8: Henri has $22.50 to spend on snacks, spending $2.25 per day. For 12 days, this totals $2.25 x 12 = $27. He does have enough money.

  • Question 9: Sabrina needs 4 times as much money for a school binder as she has ($2.95). A reasonable estimate is $4.00 x 4 = $12.00

  • Question 10: To solve 7.35 ÷ = 0.735, divide 7.35 by 10, which results in 0.735. The missing value is 10.

Section 5

  • Question 11: To find the missing value in × 0.01 = 0.068, divide 0.068 by 0.01, which results in 6.8.

  • Question 12: A reasonable estimate for the quotient of 7.99 ÷ 0.48 is 70 ÷ 10 = 7.

  • Question 13: The quotient of 2 ÷ 0.1 is 20.

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Description

This quiz covers the topics of division and decimal calculations as outlined in your math class. You'll encounter various practical problems involving real-life scenarios such as money and distances that require division with decimals. Test your understanding and improve your skills in decimal arithmetic.

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