Measurement

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Questions and Answers

What is the correct result for the calculation 12.90 - 3.2?

9.8

9.7 (correct)

9.5

8.9

The reported answer for the calculation 11.000 ÷ 3.0 is 3.666.

False

What is the reported answer for the calculation 12.345 + 12.3?

24.6

To convert 0.00028 into scientific notation, it becomes __________.

2.8 x 10^-4 Signup and view all the answers

Match the following operations with their correct reported results:

11.000 ÷ 3.0 = 3.7 4.53490 x 1.32 = 5.99 12.345 + 12.3 = 24.6 12.90 - 3.2 = 9.7 Signup and view all the answers

How many significant figures does the result of 284.2 ÷ 2.2 have?

2 Signup and view all the answers

If a number is greater than 10, the exponent in scientific notation is negative.

False Signup and view all the answers

What is the first step in dimensional analysis?

Identify starting information and ending units Signup and view all the answers

Dimensional analysis can only be used for metric unit conversions.

False Signup and view all the answers

Convert 38 microliters (µL) to milliliters (mL).

0.038 mL Signup and view all the answers

To convert 3,500 meters (m) into kilometers (km), multiply by _____.

0.001 Signup and view all the answers

When converting from non-base metric units to another unit, which is often used as an intermediate step?

Grams Signup and view all the answers

Match the conversions to their correct answers:

75 liters (L) = 75000 mL 3,500 meters (m) = 3.5 km 2.85 L = 0.75 gal 0.915 kg = 2.02 lbs Signup and view all the answers

The number of significant figures changes when a conversion factor is applied.

False Signup and view all the answers

Convert 7450 milligrams (mg) to kilograms (kg).

0.00745 kg Signup and view all the answers

What is the first step in converting 15000 milligrams to pounds?

Convert milligrams to grams Signup and view all the answers

In dimensional analysis, the units in the numerator and denominator must always be the same.

False Signup and view all the answers

What is the conversion factor to change kilograms to grams?

1000 Signup and view all the answers

To convert 70 miles per hour to kilometers per minute, you need to use __________ conversion factors.

double Signup and view all the answers

Match the unit to its corresponding conversion factor:

1 kilogram = 1000 grams 1 mile = 1.60934 kilometers 1 ounce = 28.3495 grams 1 hour = 3600 seconds Signup and view all the answers

What is the resulting unit when converting meters per second to miles per hour?

Miles per hour Signup and view all the answers

If a car travels at a speed of 35 miles per hour, how many miles will it cover in 6.5 hours?

227.5 Signup and view all the answers

Study Notes

Measurement Benchmarks

Benchmarks defined as MA.K12.MTR 1.1-5.1: focus on measurements and calculations.
Assign metric prefixes correctly to numerical values.
Perform basic math operations using exponents with a calculator.
Apply significant figures and dimensional analysis for conversions.

Essential Questions

Explore the composition of materials, their changes, and the use of properties for descriptions.

Significant Figures in Calculations

The multiplication and division rule: the answer must have the same number of significant figures as the measurement with the least sig figs.
Example calculations illustrated for addition, subtraction, multiplication, and division.

Scientific Notation

Scientific notation expresses numbers greater than 10 or less than 1 in a concise format.
Must transform numbers to lie between 1 and 9 for valid scientific notation.

Dimensional Analysis Basics

Use dimensional analysis to convert units by canceling out unwanted units.
Steps: Identify units, line up conversion factors, multiply and divide accordingly, then check units and results.

Metric Conversions

One-step conversions illustrated for milliliters, kilometers, and various metric units.
Two-step conversions require reaching a base unit before final conversion.

Conversions Involving Imperial Systems

Examples demonstrate converting between metric and imperial systems using dimensional analysis.

Double Unit Conversions

Convert units that are defined in terms of another unit, such as miles per hour to kilometers per minute.

Problems and Applications

Practice problems related to significant figures, scientific notation, and dimensional analysis are provided for students to solve and apply concepts learned.