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Since money and percent are both based on 100, it is easy to think in terms of money and convert to fractions and decimals. Example: 20 nickels is 1 dollar, so 1 nickel is 1 20 of a dollar. Also, a nickel is 5 cents, or $0.05. Therefore: 5 1 100 20 This is called a benchmark because it helps in quick mental estimation and calculation. nickel Try It Use money ideas to write similar benchmarks the first blank should have the value out of 100, the second blank should have the reduced fractional form, and the third blank should have the decimal form. Part A: penny = 0.05 Part B: dime 100 (reduced fraction form) (decimal form) 100 (reduced fraction form)

Since money and percent are both based on 100, it is easy to think in terms of money and convert to fractions and decimals. Example: 20 nickels is 1 dollar, so 1 nickel is 1 20 of a dollar. Also, a nickel is 5 cents, or $0.05. Therefore: 5 1 100 20 This is called a benchmark because it helps in quick mental estimation and calculation. nickel Try It Use money ideas to write similar benchmarks the first blank should have the value out of 100, the second blank should have the reduced fractional form, and the third blank should have the decimal form. Part A: penny = 0.05 Part B: dime 100 (reduced fraction form) (decimal form) 100 (reduced fraction form)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Understanding Money with Fractions and Decimals** Since money and percent are both based on 100, it is easy to think in terms of money and convert to fractions and decimals. **Example:** 20 nickels is 1 dollar, so 1 nickel is \( \frac{1}{20} \) of a dollar. Also, a nickel is 5 cents, or $0.05. Therefore: \[ \text{nickel} = \frac{5}{100} = \frac{1}{20} = 0.05 \] This is called a **benchmark** because it helps in quick mental estimation and calculation. --- **Try It** Use money ideas to write similar benchmarks – the first blank should have the value out of 100, the second blank should have the reduced fractional form, and the third blank should have the decimal form. **Part A: penny** \[\_\_\_ /100\] \[\_\_\_\] (reduced fraction form) \[\_\_\_\] (decimal form) **Part B: dime** \[\_\_\_ /100\] \[\_\_\_\] (reduced fraction form) \[\_\_\_\] (decimal form)
Transcribed Image Text:**Understanding Money with Fractions and Decimals** Since money and percent are both based on 100, it is easy to think in terms of money and convert to fractions and decimals. **Example:** 20 nickels is 1 dollar, so 1 nickel is \( \frac{1}{20} \) of a dollar. Also, a nickel is 5 cents, or $0.05. Therefore: \[ \text{nickel} = \frac{5}{100} = \frac{1}{20} = 0.05 \] This is called a **benchmark** because it helps in quick mental estimation and calculation. --- **Try It** Use money ideas to write similar benchmarks – the first blank should have the value out of 100, the second blank should have the reduced fractional form, and the third blank should have the decimal form. **Part A: penny** \[\_\_\_ /100\] \[\_\_\_\] (reduced fraction form) \[\_\_\_\] (decimal form) **Part B: dime** \[\_\_\_ /100\] \[\_\_\_\] (reduced fraction form) \[\_\_\_\] (decimal form)
## Educational Content: Understanding Decimal and Fractional Values of U.S. Currency ### Part C: Quarter - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) ### Part D: Half Dollar - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) ### Part E: Dollar - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) This section helps learners to express different denominations of U.S. currency in terms of fractions and decimal forms. Here, users are encouraged to fill in the blanks to understand how to convert these currency values from fractional to decimal notations.
Transcribed Image Text:## Educational Content: Understanding Decimal and Fractional Values of U.S. Currency ### Part C: Quarter - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) ### Part D: Half Dollar - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) ### Part E: Dollar - **Expression:** \(\_\_\_\) / 100 - **Reduced Fraction Form:** \(\_\_\_\) - **Decimal Form:** \(\_\_\_\) This section helps learners to express different denominations of U.S. currency in terms of fractions and decimal forms. Here, users are encouraged to fill in the blanks to understand how to convert these currency values from fractional to decimal notations.
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