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Pre Algebra Unit 3 Unit 3 – Decimals Objective Overview The following is a small subset of possible problems that could represent each objective. Refer to notes, homework and reviews for a more complete picture. Section 1 - Introduction to Decimals By the end of section 1 you should be able to: - Identify place value Consider the number -21.123. Identify the number in the hundredths place. Consider the number 25.23456. What place value is the 4 in? - Write a decimal in words Write 312.1258 - Translate words into numbers Write “Two and thirty six ten-thousandths” as a number. - Find the absolute value of a number |−2.23| = |4.256| = −|−0.2| = - Order the following by placing a < or > in between them. 12.0234 12.0324 -1.203 - -1.23 Write a Decimal as a fraction Write 2.12 as a Fraction. American River College 97 Milano Pre Algebra Unit 3 - Round to the nearest given place value Round 2.12458 to the nearest thousandths place. - Rounding with money. Round $2.1235 to the nearest cent. Round $325.25 to the nearest dollar. Section 2 – Adding and Subtracting Decimals By the end of section 2 you should be able to: - Add decimals with the same sign 5.235 + 7.2 = −6.235 + −4.1 = - Add decimals with different signs −7.32 + 3.2567 = - Subtract signed decimals −15.23 − 7 = 2.23— 3.2564= Section 3 – Multiplying and Dividing Decimals By the end of section 3 you should be able to: - Multiply decimals −7.213 ∙ −2.2 = −3.25 ∙ 8.23 = - Multiply decimals by a power of 10. −2.356 ∙ 100 −54.356 ∙ 0.01 American River College 98 Milano Pre Algebra - Unit 3 Find the Circumference of a circle. Find the circumference of a circle with radius 2cm. Find the circumference of a circle with diameter 6m. - Divide decimals . = −3.6 ÷ −0.04 = !" # !# ℎ #ℎ − 3.62 ÷ −0.3 = - Write the following fractions as decimals (using repeating bare when necessary.) % & ' −( - Order fractions and decimals by placing > or < in between them. ) −& − 0.37 Section 4 – Exponents, Order of Operations, and Square roots By the end of section 4 you should be able to: - Evaluate exponents −2.2* = −1.2' = American River College 99 Milano Pre Algebra - Unit 3 Use the order of operations to evaluate expressions 1.6 ÷ 2 ∙ 3.3 2.27 + 7.1 ∙ 4 21.1' + 4.2 ∙ 0.3 - Find the Area of a circle with the given dimensions Find the area of a circle with radius 2cm. Find the area of a circle with diameter 6m. - Find an average. Find the mean of 22,26,27 - Compute a square root √49 −√144 American River College 100 Milano