1.3.1 Using standard units of measure and related concepts

• What is the purpose of standard units of measure?

  To measure things consistently
• A gallon is equal to 3.785 liters.

  True
• What does decimal notation use to separate the whole number part from the fractional part?

  Decimal point
• Match the imperial unit with its metric equivalent:

  Inch ↔️ 2.54 centimeters

  Foot ↔️ 30.48 centimeters

  Yard ↔️ 0.9144 meters

  Mile ↔️ 1.609 kilometers
• The UK uses both metric and imperial systems.

  True
• A mile is approximately equal to 1.609 kilometers.

  True
• Why is it important to use standard units of measure across the world?

  To understand measurements easily
• What does SI stand for in the context of units of measurement?

  International System of Units
• What is 12 inches converted to centimeters?

  30.48 centimeters
• The symbol for the meter is m.

  True
• What is the purpose of prefixes in standard units?

  Change size by multiples
• Fractions are always clearer than decimal notation.

  False
• What is the SI unit for mass?

  Kilogram
• Are zeros between non-zero digits significant?

  Yes
• What do significant figures indicate in a number?

  Precision of measurement
• How many centimeters are in an inch?

  2.54 centimeters
• All non-zero digits are significant.

  True
• Match the prefix with its symbol and power of ten:

  Kilo- ↔️ k ||| $10^{3}$

  Centi- ↔️ c ||| $10^{ - 2}$

  Milli- ↔️ m ||| $10^{ - 3}$
• Steps to convert a decimal to a fraction

  1️⃣ Express the number after the decimal point as a fraction

  2️⃣ Use a denominator that is a power of 10
• What mathematical operation is used to convert grams to kilograms?

  Division
• Why are kilometers useful for measuring long distances?

  They simplify large numbers
• What familiar item can be used to estimate volume?

  Soda can
• The prefix "kilo-" has the symbol "k" and represents $10^{3}$.


  True
• Convert 4.75 meters to a fraction.

  4 3/4 meters
• 6.4 pounds can be expressed using decimal notation.

  True
• What are the basic units in the metric system for length, mass, and time, respectively?

  Meters, kilograms, seconds
• What is a common decimal measurement for volume?

  3.7 liters
• 0.5 kilometers is a common decimal measurement of length.

  True
• What is estimation in the context of measurements?

  Making a reasonable guess
• 500 grams is equal to 0.5 kilograms.

  True
• Match the decimal with its fractional equivalent:

  10.25 ↔️ 10 1/4

  0.375 ↔️ 3/8

  6.4 ↔️ 6 2/5
• 1 millimeter is equal to 0.001 meters.

  True
• 20 meters is already in the desired common unit.

  True
• Match the measurement type with its standard unit:

  Length ↔️ Meter

  Weight ↔️ Kilogram

  Volume ↔️ Liter
• Steps to estimate measurements

  1️⃣ Refer to standards

  2️⃣ Compare with familiar items

  3️⃣ Break down large objects
• How many meters are in 500 centimeters?


  5 meters
• Trailing zeros in a number without a decimal point are always significant.

  False
• The conversion factor from kilometers to meters is 1000.

  True
• How many kilograms are in a pound?

  0.453 kilograms
• You round up if the digit after the last significant figure is 5 or more.

  True