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unit 1 – metric measurements 1) put the following in order from largest…

Question

unit 1 – metric measurements

  1. put the following in order from largest to smallest:

centimeter, meter, kilometer, millimeter, dekameter, decimeter
small ____ / __ / __ / __ / __ / ____ large

  1. 2 pounds would be closest to what amount: (circle one) 1 gram/ 1 centigram/ 1 milligram/ 1 kilogram/ 1 dekagram
  2. 1 mile would be closest to: (circle one) 1 meter/ 1 centimeter/ 1 millimeter/ 1 kilometer/ 1 dekameter

determine the missing information of for the following substance: (make sure to add labels)
use the triangle to the right to help you remember how to calculate the missing value.
sample of mass (g) volume (cm³) density (g/cm³)

  1. air (in this room) 450,000 375,000,000 ______
  2. ice (water) 200,000 217,391 ______
  3. liquid water (fresh) 760 760 ______
  4. iron 4,290 550 ______
  5. gold 1,000 51.8 ______
  6. mercury ______ 300 13.6
  7. silver 650 ______ 10.5
  8. how many minutes are in three - quarters of an hour? ______
  9. 2,700 seconds is how many minutes? ______ how many hours is that same amount of

time? ______

  1. if 1 kg = 2.2 pounds, how many pounds does a 75 kg person weigh? ______

Explanation:

1) Order metric length units

Metric prefix values: 1 km=10³m, 1 dam=10m, 1m=1m, 1dm=0.1m, 1cm=0.01m, 1mm=0.001m. Order from small to large: millimeter < centimeter < decimeter < meter < dekameter < kilometer.

2) Convert pounds to grams

1 pound ≈ 453.592g, so 2 pounds ≈ 907.184g ≈ 1kg.

3) Convert miles to meters

1 mile ≈ 1609.34m ≈ 1km.

4) Calculate air density

Density = mass/volume = 450000g / 375000000cm³ = 0.0012g/cm³.

5) Calculate ice density

Density = 200000g / 217391cm³ ≈ 0.92g/cm³.

6) Calculate water density

Density = 760g / 760cm³ = 1g/cm³.

7) Calculate iron density

Density = 4290g / 550cm³ = 7.8g/cm³.

8) Calculate gold density

Density = 1000g / 51.8cm³ ≈ 19.3g/cm³.

9) Calculate mercury mass

Mass = density×volume = 13.6g/cm³×300cm³ = 4080g.

10) Calculate silver volume

Volume = mass/density = 650g / 10.5g/cm³ ≈ 61.9cm³.

16) Convert hours to minutes

3/4 hour × 60min/hour = 45min.

17) Convert seconds to minutes/hours

2700s / 60s/min = 45min; 45min / 60min/hour = 0.75hour.

18) Convert kg to pounds

75kg × 2.2lb/kg = 165lb.

Answer:

  1. millimeter / centimeter / decimeter / meter / dekameter / kilometer
  2. 1 kilogram
  3. 1 kilometer
  4. 0.0012 g/cm³
  5. 0.92 g/cm³
  6. 1 g/cm³
  7. 7.8 g/cm³
  8. 19.3 g/cm³
  9. 4080 g
  10. 61.9 cm³
  11. 45
  12. 45; 0.75
  13. 165