Questions: A stack of 50 exercise cards is 1.9 cm thick. All cards in the stack have the same thickness. How thick is one card?

A stack of 50 exercise cards is 1.9 cm thick. All cards in the stack have the same thickness. How thick is one card?
Transcript text: A stack of 50 exercise cards is 1.9 cm thick. All cards in the stack have the same thickness. How thick is one card?
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Solution

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Solution Steps

Solution Approach
  1. Question 1: To find the thickness of one card, divide the total thickness of the stack by the number of cards.
  2. Question 2: Rewrite the division expression to find the quotient and remainder. This involves performing integer division and finding the remainder.
Step 1: Calculate the Thickness of One Card

To find the thickness of one card, divide the total thickness of the stack by the number of cards. Given that the total thickness is \(1.9 \, \text{cm}\) and there are 50 cards, the thickness of one card is calculated as follows:

\[ \text{Thickness of one card} = \frac{1.9}{50} = 0.038 \, \text{cm} \]

Step 2: Perform Integer Division and Find the Remainder

To rewrite the division expression \(741 \div 45\), we need to find both the quotient and the remainder. The quotient is obtained by performing integer division, and the remainder is found using the modulus operation:

\[ \text{Quotient} = \left\lfloor \frac{741}{45} \right\rfloor = 16 \]

\[ \text{Remainder} = 741 \mod 45 = 21 \]

Final Answer

\(\boxed{\frac{1.9}{50} = \frac{19}{500} = 0.038 \, \text{cm}}\)

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