Show all work for full marks. 1. State the most appropriate metric measurement unit for the following: [1] a) Depth of the snow __ b) Distance to California __ 2. Describe a situation where a referent could be useful to measure an object. [1] 3. To estimate a length in inches, which personal referent would be the most useful? [1] 4. Convert the following Round your answers to the nearest tenth of a unit. [6] a) 9ft3in=cm d) 146mi= b) 6200000mm=km c) 21m=yd c) 32miles=km f) 1247.14cm=ydsldots ft.

## Step 1: Appropriate Metric Units<br />### a) The depth of snow is typically measured in centimeters (cm) or meters (m) if it's very deep.<br />### b) The distance to California is best measured in kilometers (km).<br /><br />## Step 2: Referent Usefulness<br />### A referent is useful when a standard measuring tool isn't available. For example, if you need to estimate the length of a table and don't have a ruler, you could use your hand span as a referent. Knowing your hand span is approximately 8 inches, you could estimate the table's length by counting how many hand spans it covers.<br /><br />## Step 3: Personal Referent for Inches<br />### A thumb width is approximately one inch and is a useful personal referent for estimating lengths in inches.<br /><br />## Step 4: Conversions<br />### a) Conversion of feet and inches to centimeters: First convert 9 ft to inches: $9 \text{ ft} \times 12 \frac{\text{in}}{\text{ft}} = 108 \text{ in}$. Total inches: $108 \text{ in} + 3 \text{ in} = 111 \text{ in}$. Convert to cm: $111 \text{ in} \times 2.54 \frac{\text{cm}}{\text{in}} = 281.94 \text{ cm} \approx 282.0 \text{ cm}$.<br />### b) Conversion of millimeters to kilometers: $6,200,000 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} \times \frac{1 \text{ km}}{1000 \text{ m}} = 6.2 \text{ km}$.<br />### c) Conversion of meters to yards: $21 \text{ m} \times 1.094 \frac{\text{yd}}{\text{m}} = 22.974 \text{ yd} \approx 23.0 \text{ yd}$.<br />### d) Conversion of miles to kilometers: $146 \text{ mi} \times 1.609 \frac{\text{km}}{\text{mi}} = 234.914 \text{ km} \approx 234.9 \text{ km}$.<br />### e) Conversion of miles to kilometers: $32 \text{ mi} \times 1.609 \frac{\text{km}}{\text{mi}} = 51.488 \text{ km} \approx 51.5 \text{ km}$.<br />### f) Conversion of centimeters to yards and feet: $1247.14 \text{ cm} \times \frac{1 \text{ in}}{2.54 \text{ cm}} \times \frac{1 \text{ ft}}{12 \text{ in}} = 40.915 \text{ ft}$. Since there are 3 feet in a yard, $40.915 \text{ ft} = 13 \text{ yd } 1.915 \text{ ft} \approx 13 \text{ yd } 2 \text{ ft}$.