if the u.s. money system used metric prefixes...

if the u.s. money system used metric prefixes and the base unit was a dollar, give metric names for each of the following amounts. a. dime b. penny c. $10 bill d. $100 bill e. $1000 bill

Answer

# Explanation: ## Step1: Recall metric prefixes We know that 1 dime = $0.1$, 1 penny = $0.01$, $10 = 10^1$, $100=10^2$, $1000 = 10^3$. The common metric - prefixes are: deci ($10^{-1}$), centi ($10^{-2}$), deca ($10^{1}$), hecto ($10^{2}$), kilo ($10^{3}$). ## Step2: Convert dime Since 1 dime = $0.1$ dollar and deci means $10^{-1}$, a dime would be a decidollar. ## Step3: Convert penny Since 1 penny = $0.01$ dollar and centi means $10^{-2}$, a penny would be a centidollar. ## Step4: Convert $10 bill Since $10 = 10^1$ dollar and deca means $10^{1}$, a $10 bill would be a decadollar. ## Step5: Convert $100 bill Since $100 = 10^2$ dollar and hecto means $10^{2}$, a $100 bill would be a hectodollar. ## Step6: Convert $1000 bill Since $1000 = 10^3$ dollar and kilo means $10^{3}$, a $1000 bill would be a kilodollar. # Answer: a. decidollar b. centidollar c. decadollar d. hectodollar e. kilodollar