zMath 160  - Unit 20: Metric System – Units of Length, Weight, and Capacity

Metric System Prefixes


1)

Fill in the blank with the metric unit for the equivalent expression given. Choose from the terms given and state the letter and then the answer.

decimeter          kilogram          milliliter          centimeter

__________a.  1000 grams

__________b.  1/10 of a meter

__________c.  1/100 of a meter

__________d.  1/1000 of a liter


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Metric Units of Length


2)

Fill in the blank with the metric unit that best fits the descriptions of the lengths. Choose from the terms given and state the letter and then the answer.

kilometer          meter          centimeter          millimeter

__________a.  thickness of a dime’s edge

__________b.  width across the face of a dime

__________c.  a little more than the length of a yardstick

__________d.  more than half a mile


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Measuring with Metric Units of Length


3)

What is the measure of the arrow to the nearest centimeter?


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4)

What is the measure of the arrow to the nearest centimeter?


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5)

What is the measure of the arrow to the nearest millimeter?


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6)

What is the measure of the arrow to the nearest millimeter?


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Converting Metric Units of Length Using Multiplication


7)

Convert. .8.4 m = _________________ cm


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8)

Convert. 9 m = _________________ mm


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Converting Metric Units of Length Using Division


9)

Convert. 4000 m = _________________ km


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10)

Convert. 22 mm = ________________ cm


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Converting Metric Units of Weight


11)

Fill in the blank with the metric unit that best fits the weight of the object given. Choose from the terms given and state the letter and then the answer.

kilogram          gram          milligram

__________a.  a chocolate chip

__________b.  a  textbook

__________c.  a bee’s wing


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12)

Convert. 6.8 kg = _________ g


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13)

Express both units as grams, and then find the sum. 4000 mg + 7 g


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14)

Express both units as grams, and then find the difference. 0.5 kg – 5400 mg


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Converting Metric Units of Capacity


15)

Look around your house. Find a container that holds approximately one liter. Describe the container by appearance and contents.


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16)

Convert. 5.6 L = __________ mL


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Review

Use these triangles to answer questions #17 – #19.
 


17)

Measure the number of degrees in each angle of triangle ABC. State the answers in the order that the problems are given.  Round the measurements to the nearest five degrees.


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18)

Measure the number of degrees in each angle of triangle DEF. State the answers in the order that the problems are given.  Round the measurements to the nearest five degrees.


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19)

Solve.To change ? ABC (read “triangle ABC”) into ? DEF is an example of which of the following transformations:  rotation, reflection, or translation?


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20)

Express 75% as a fraction and a decimal.


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21)

Solve.


22)

Solve.


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23)

In a right triangle, one of the acute angles measures 38°.  What is the measure of the other acute angle?


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24)

In these similar triangles, the sides are connected with a ratio of 1:3. If the length of the base of the gold triangle is 2 inches, what is the length of the base of the green triangle?


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25)

Fill in the blank with the geometric shape that fits the best description. Choose from the terms below. State the letter and then the answer.

square          pentagon          parallelogram          diagonal

__________a.  quadrilateral with opposite sides congruent and parallel

__________b.  five-sided closed figure

__________c.  quadrilateral with congruent sides and right angles

__________d.  line segment that connects nonconsecutive corners of a polygon


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