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Transcript
Name: ____________________________________
Math In Trades
Period: __________________
UNIT 1 Review Packet
Improper Fractions  Mixed Numbers
To convert from Mixed Numbers to Improper Fractions:
= a x c+ b
c
Examples:
1.
2.
To convert from Improper Fractions to Mixed Numbers:
a. Divide the numerator by the denominator, and write the number with out the remainder as the whole
number
b. Write the remainder as the new numerator
c. Keep the denominator the same
Examples:
3. 35
4. 9
4
8
Writing Fractions in Lowest Terms:
Find the GCF to the numerator and denominator, and divide both by the GCF.
Examples:
5.
5
30
6.
Writing Equivalent Fractions:
a. Write all numbers as improper fractions
b. Find the number needed to multiply or divide to get the new numerator/denominator
c. Multiple the denominator/numerator by the same number
Examples:
7. 3 = ?
8. 2 ¾ = ?
4 12
12
1
Translating Numbers Words:
Examples: Write the words as numbers and the numbers as words.
9. 2,403,560
10. 940,001
11. Two hundred thirty thousand, seven hundred
12. Five million, ninety-eight thousand, one hundred seven
Comparing Fractions:
Find a common denominator, and then compare the numerators.
Examples: Circle the larger fraction.
13. 7 OR 2
14. 1 ¼ OR 7
16
15
6
Rounding Whole Numbers:
a. Find the indicated place value
b. Use the place value to the right to tell you which way to round
c. Round the indicated number, then fill in trailing zeros
Examples:
15. 94, 746 to the nearest hundred
16. 652,738 to the nearest hundred thousand
Arithmetic of Whole Numbers
Examples:
17. 2074 + 906
18. 734 – 85
19. 67 x 21
20. 11309 ÷ 263
2
Arithmetic of Fractions:
o Addition/Subtraction: find a common denominator then add the numerators
o Multiplication: multiply the numerators, multiply the denominators, then reduce
o Division: KCF and multiply
Examples:
21. 1 ¼ ÷ 1 ½
22. ½ x 1 ⅓
23. 6 – 1 ½
Order of Operations:
PEMDAS
Examples:
25. 120 – 40 ÷ 8
24. 7 - 3
8 10
26. (18 + 5 x 9) ÷ 7
27. 3 x 4 – 15 ÷ 3
Word Problems:
28. One bottle of NoGo pain medicine contains 80 tablets. How many tablets are contained in 5 ¾ bottles?
29. During the first three months of the year, the Print Rite Company reported the following sales of printers:
January
$53,726
February
$37,152
March
$60,478
What is their sales average for this quarter of the year? (Hint: first find the sum, then divide by the total number
of months)
3
Perform the indicated operations:
a) 2 ⅗ - 0.83
b) 26.8793 ÷ 4.3
e) 0.12 + 1.647 + 28.4
Round 186.45129 as indicated:
a) hundredth
b) whole number
c) 1.64 x 3 ⅛
d) 6.3 x 4.01
f) 4.2 + 4.6 x 1.2
2.73 ÷ 21 + 0.41
c) tenth
Write the following as decimal numbers:
a) 5⅞
b) 8⅔
d) ten-thousandth
c) ⅙
Find the average of the following numbers and round to the nearest hundredth:
248.56, 597.16, 569.14, 876.92, 432.01
A doctor prescribes 0.61-mg of a prescription to be taken over the course of a week. How many 0.061-mg
doses should be taken that week?
4
A scientist finds that there are 3.8 bacteria cells that can be viewed in one microscope slide. How many
should the scientist expect to view if 24 slides are looked at?
Write the following in words:
a) 40.012
b) 1873.2168
Write the following in numbers:
a) One and fourteen thousandths
c) 0.045
b) seventy-four hundred-thousandths
5