Question

Comparing Speeds and Prices 5.1: Closest Quotient

Is the value of each expression closer to 1, or 1?

1. 20 = 18
2. 9 : 20
3. 7:5
Option 1: Closer to 1
Option 2: Closer to 1
Option 3: Closer to 1

Answer 1

Numeric expressions 1, 2, and 3 have been evaluated to see if they are closer to the value of 1, which depends on whether their results are above or below 1. Expression 1 and 3 result in numbers slightly above 1, while expression 2 yields a value less than 1.

Step-by-step explanation:

The expressions in question compare numerical relationships to determine if they are closer to the numeric value of 1 or not. Each expression must be evaluated to see if its result is more or less than 1.

• Expression 1: 20 ÷ 18 is slightly greater than 1, thus closer to 1.
• Expression 2: 9 ÷ 20 yields a number less than 1, making it closer to 1.
• Expression 3: 7 ÷ 5 is greater than 1, thus closer to 1.

In scenarios where the numerator (top number) and denominator (bottom number) are the same, the quotient equals 1. When evaluating expressions or ratios for values close to 1, it's important to check whether the result makes sense and to appreciate the approximate nature of mathematical calculations at times, as exemplified by the concept of reciprocal numbers and the metric system conversions using powers of 10.