Unit 1 Numbers And Algebra Study Guide

IB Math Studies Yr 1NameDateUnit 1 Study GuideUnit 1 – Numbers and Algebra Study GuideIn this unit, you were introduced to some basic elements and concepts of mathematics. These topicsincluded: Place Values and Rounding Significant Figures (Identifying and Rounding) Scientific Notation Unit Conversions Percent Error Formula Applications of All Concepts Above into Multi-Step QuestionsPLACE VALUES AND ROUNDING DECIMALS1. Underline the place value to be rounded.2. Look to the right of the rounding place.a) If the number is 5 or greater, ROUND UP!b) If the number is less than five, KEEP IT THE SAME!3. Numbers to the right of the rounding place turn to zeroes. You have to determine if you need to keepthose zeroes in your final answer!

IB Math Studies Yr 1EX: Round the following values correctly to the requested number of decimals or place value:a) 1052.637 [2 decimal places]b) 0.04523 [hundredths]c) 3.6998 [3 decimal places]d) 25.956 [tenths]e) 24650.628 [hundreds]f) 124.6720 [integer]COUNTING SIGNIFICANT FIGURES This is another way of rounding a number to a specific level of precision. (the number you round toshould be similar or close to the original)To count significant figures, start at the left-most non-zero digit and follow the rules below:Examples: How many significant figures do the following numbers contain?a) 45.8736b) .000239c) .00023900d) 48000e) 1.00040f) 3.082 x 106

IB Math Studies Yr 1ROUNDING SIGNIFICANT FIGURES1. Start at the left-most non-zero digit and identify the significant figure place mentioned in the question.2. Follow the same rules as rounding decimals.Examples: Round the following values correctly to the requested number of significant o 3 sig figsto 2 sig figsto 1 sig fig

IB Math Studies Yr 1 SCIENTIFIC NOTATIONScientific Notation involves moving decimals to rewrite a number in an equivalent form.Feel free to turn your Graphing Calculator Display (GDC) in “Scientific Notation” mode in order to helpyou with moving the decimals. Hit the MODE button and then look for SCI

IB Math Studies Yr 1UNIT CONVERSION Use the phrase: King Henry Doesn't [Usually] Drink Chocolate Milk Start at the prefix of the unit you are starting with and count the times you move to get the prefix youare converting to. Do not count the unit you started with.Then move the decimal in the same direction and the same number of places as you counted. Example: Convert the following measurements to the stated units.Conversion acronym!a) 3.54 m to cmb) 0.0714 kg into gc) 345 mL to Ld) 0.00205 litres into millilitrese) 40.5 metres into kilometresf)60 milligrams into grams

IB Math Studies Yr 1PERCENTAGE ERROR Percent error is a measure of how inaccurate a measurement is when comparing a measured value to theaccepted value.It is often used in science to report the difference between experimental values and expected values.The percent error formula can be found in section 1.2 of the IB Formula Booklet.Be sure to express your final answer as a percentage by multiplying by 100To use the absolute value button, follow the steps below on your calculator:MATH NUM ABS or2ND CATALOG ABSTo enter a fraction into the calculator, follow the steps below:ALPHA Y 𝒏𝒅Example: Given: 3.7 16.22 – 500(a) Calculate the exact value of the expression;(b) Calculate the expression correct to two decimal places;(c) Calculate the percent error between the exact and approximate answers stated above.

ROUNDING SIGNIFICANT FIGURES . 1. Start at the left-most non-zero digit and identify the significant figure place mentioned in the question. 2. Follow the same rules as rounding decimals. Examples: Round the following values correctly to the requested number of significant figures. Number to 3 sig figs to 2 sig figs to 1 sig fig . 6.3528 34.026