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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.
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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
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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
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100
Milano