Q. 2.19 - An Introduction to General, Organic, and Biological Chemistry

Question

Identify the measured number(s), if any, in each of the following pair of numbers:

a. $3$ hamburgers and $6$ oz of hamburger

b. $1$ table and $4$ chairs

c. $0.75$ lb of grapes and $350$ g of butter

d. $60$s$=1$min

Step-by-Step Solution

Answer

Measured number in given pair of numbers is:

a. $6$ oz of hamburger.

b. None

c. $0.75$lb of grapes and $350$g of butter

d. None

Part(a) Step 1: Given information

We need to find out  the measured number(s), if any, in the pair of $3$ hamburgers and $6$ oz of hamburger.

Part(a) Step 2: Simplify

Measured numbers are the results of measuring a quantity such as our height or a distance and so on. Due to measurement techniques, their values aren't exact.

An exact number is one that can be calculated with absolute accuracy. They can't be simplified or reduced. For instance, $12$ eggs per dozen, $3$ feet in $1$ yard, and so on.

Here, $3$ hamburgers is a exact number while $6$ oz of hamburger is a measured value.

Part(b) Step 1: Given information

We need to find out  the measured number(s), if any, in the pair of $1$ table and $4$ chairs.

Part(b) Step 2: Simplify

Measured numbers are the results of measuring a quantity such as our height or a distance and so on. Due to measurement techniques, their values aren't exact.

An exact number is one that can be calculated with absolute accuracy. They can't be simplified or reduced. For instance, $12$ eggs per dozen, $3$ feet in $1$ yard, and so on.

Here, none is measured value because $1$ table and $4$ chairs are exact values and are counted.

Part(c) Step 1: Given information

We need to find out  the measured number(s), if any, in the pair of $0.75$ lb of grapes and $350$g of butter.

Part(c) Step 2: Simplify

Measured numbers are the results of measuring a quantity such as our height or a distance and so on. Due to measurement techniques, their values aren't exact.

An exact number is one that can be calculated with absolute accuracy. They can't be simplified or reduced. For instance, $12$ bananas per dozen, $100$ centimetre in $1$ metre, and so on.

Here, both $0.75$ lb of grapes and $350$g of butter are measured values.

Part(d) Step 1: Given information

We need to find out  the measured number(s), if any, in the $60$s$=1$minute.

Part(d) Step 2: Simplify

Measured numbers are the results of measuring a quantity such as our height or a distance and so on. Due to measurement techniques, their values aren't exact.

An exact number is one that can be calculated with absolute accuracy. They can't be simplified or reduced. For instance, $12$ bananas per dozen, $100$centimetre in $1$ metre, and so on.

Here, $60$s$=1$min is a universal accepted fact and does not change by any measuring method. There is no measuring value.