Question - Solving Math Problems Involving Coin Values
Solution:
The image shows a math worksheet with questions related to the value of coins in terms of fractions and decimals of a dollar, and questions about quantities of coins based on their value in dollars. Unfortunately, some text appears to be cut off, but we can still attempt to solve the visible questions:1. Write the fraction and the decimal. a) What fraction of a dime is a penny? b) What fraction of a dollar is a penny? c) What fraction of a dollar is a dime?2. Hiro has pennies worth 0.5 dimes. How many pennies does he have? b) Naomi has pennies worth 0.5 dollars. How many pennies does she have? c) Who has more pennies?Now let's solve these questions:1a) One dime is worth 10 cents, and one penny is worth 1 cent. Therefore, one penny is $$ \frac{1}{10} $$ of a dime. The decimal equivalent is 0.1.1b) One dollar is worth 100 cents, and one penny is worth 1 cent. Thus, one penny is $$ \frac{1}{100} $$ of a dollar. The decimal equivalent is 0.01.1c) One dollar is worth 100 cents, and one dime is worth 10 cents. Therefore, one dime is $$ \frac{10}{100} $$ or $$ \frac{1}{10} $$ of a dollar. The decimal equivalent is 0.1.2. a) Since one dime is equal to 10 pennies, if Hiro has pennies worth 0.5 dimes, he has $$ 0.5 \times 10 = 5 $$ pennies.2. b) One dollar is worth 100 pennies. If Naomi has pennies worth 0.5 dollars, she has $$ 0.5 \times 100 = 50 $$ pennies.2. c) Between Hiro and Naomi, Naomi has more pennies since she has 50 pennies and Hiro has only 5 pennies.
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