Question

lesson 8 | session 3
3 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? show your work.
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4 find the quotient 9.43 ÷ 82. show your work.
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5 a school receives gifts of $600 and $800. the money is split equally among the school’s 16 clubs. how much money does each club receive? show your work.
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Explanation:

Problem 3

Step1: Identify the operation

We need to find the thickness of one card, so we divide the total thickness by the number of cards. The formula is \( \text{Thickness of one card} = \frac{\text{Total thickness}}{\text{Number of cards}} \)

Step2: Substitute the values

Total thickness is \( 1.9 \, \text{cm} \) and number of cards is \( 50 \). So we calculate \( 1.9\div50 \)

Step3: Perform the division

\( 1.9\div50 = 0.038 \, \text{cm} \)

Step1: Set up the division

We need to find \( 9.43\div82 \). We can write this as a long division or use decimal division rules.

Step2: Perform the division

\( 9.43\div82 = 0.115 \) (because \( 82\times0.115 = 9.43 \))

Step1: Find the total money

First, we find the total money received by the school. The school receives \( \$600 \) and \( \$800 \), so total money \( = 600 + 800=\$1400 \)

Step2: Divide by the number of clubs

We divide the total money by the number of clubs (16) to find the money each club receives. The formula is \( \text{Money per club} = \frac{\text{Total money}}{\text{Number of clubs}} \)

Step3: Perform the division

\( 1400\div16 = 87.5 \)

Answer:

The thickness of one card is \( 0.038 \, \text{cm} \)

Problem 4