Pre- Algebra Summer 2015 Mathematics Packet
Welcome to Pre-Algebra at The Dinoff School! The following packet is comprised of several sections, each with a descriptive heading and performance objective. Mastery of all concepts is necessary for success in Pre- Algebra and completion of this packet is mandatory for all students.
You should complete this packet without the use of a calculator and show all steps used to arrive at your final answer. During the first week of school, you will turn in your completed review packet and take a diagnostic test. Please keep in mind while you are working on this review packet that you will not be allowed to use a calculator during the assessment in August.
We look forward to seeing you in August!
**All calculations or work must be put in a composition notebook.
Skill #1: Decimals and Place Value
Students will be able to determine place value of a given digit.
Write the value of the underlined digit
1) 842,976 2) 761.0325
3) Write seven and ninety-six thousandths as a decimal.
4) Write 9.204 in words.
5) Write 0.0000073 in words.
Skill #2: Comparing and Ordering Decimals
Students will be able to compare decimals and order decimals from least to greatest.
Write the decimals in order from least to greatest.
6) 7.21 0.712 72.1 0.721
7) 0.01010 0.10101 0.01001 0.00101
Compare using >, <, or =
8) 0.000307 _?_ 0.003007
9) – 6.954 __?__ - 8.96
Skill #3: Rounding
Students will be able to round numbers to a given place value.
10) Round 15,763.753 to the nearest hundredth.
11) Round 96.3721 to the nearest tenth.
12) Round 123.9842 to the place of the underlined digit.
13) Round 2,348,721.5295 to the nearest ten thousands.
14) Round 287.261098 to the place of the underlined digit.
Skill # 4: Adding and Subtracting Decimals
Students will be able to add and subtract decimals.
15) 76.87 16) 36.283 17) 1345.734 18) 9 – 3.245
- 45.91 - 9.72 + 86.508
19) 16 + 48.792 20) 1.309 + 2.46 + 28.6
Skill #5: Multiplying Decimals.Show work.
Students will be able to multiply decimals.
21) 0.0027 • 0.04 22) 23.4 • 3.6 23) 6.005 • 7.08
24) 8.6 x 0.4 25) 342.3 • 7 24) 38.6
Skill #6: Dividing Decimals by Whole Numbers. Show work.
Students will be able to divide decimals by whole numbers.
26) 16.8 ÷ 4 27) 0.1026 ÷ 38
28) 7,354 ÷ 0.01 29) 35.4 ÷ 3
Skill #7: Dividing Decimals by Decimals. Show work.
Students will be able to divide decimals by decimals.
30) 3.813 ÷ 4.1 31) 0.002847 ÷ 0.73 32) 86.9 ÷ 0.011
33) 0.001071 ÷ 0.51 34) 365.8 ÷ 0.0002
Skill #8: Multiplying and Dividing by Powers of Ten.
Students will be able to multiply and divide numbers by powers of ten.
35) 7,354 ÷ 0.01 36) 63.57 ÷ 1,000 37) 5.697 x 10,000
38) 96.45 x 0.0001 39) 0.00056 x 100,000
Skill #9: Mixed Numbers and Improper Fractions
Students will be able to convert mixed numbers to improper fractions as well as convert improper fractions to mixed numbers.
Convert improper fraction to mixed number.
Skill #10: Adding and Subtracting Fractions with Unlike Denominators. Show work.
Students will be to add and subtract fractions with unlike denominators