LESSON Rational and Irrational Numbers 1-1 Reteach - Mrs. Cooney's ...
Name ________________________________________ Date __________________ Class __________________
LESSON Rational and Irrational Numbers
1-1 Reteach
To write a fraction as a decimal, divide the numerator by the denominator.
A decimal may terminate.
3 4
=
0.75 4 3.00
-28
20
-20
0
A decimal may repeat.
1 3
=
0.3 3 1.00
-9
1 0
- 9
1
Complete to write each fraction as a decimal.
1.
15 4
=
4
15.00
2.
5 6
=
6
5.00
3.
11 3
=
3
11.00
Every positive number has two square roots, one positive and one negative.
Since 5 ? 5 = 25 and also -5 ? -5 = 25, both 5 and -5 are square roots of 25.
Every positive number has one cube root. Since 4 ? 4 ? 4 = 64, 4 is the cube root of 64.
25 = 5 and - 25 = -5
Find the two square roots for each number.
4. 81
5. 49
________________________
________________________
Find the cube root for each number.
7. 27
8. 125
________________________
________________________
6.
25 36
________________________
9. 729
________________________
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
4
9. 5 , - 5 22
10. 7 11. 1 12. 2
3 13. 5.66 14. 7.68 15. 10.86 16. 0.17 mi2 17. 5 ft
Reteach 1. 3.75
2. 0.83
3. 3.6 4. 9, -9 5. 7, -7 6. 5 ,- 5
66 7. 3 8. 5 9. 9
Reading Strategies 1. Yes, because it can be written as a
fraction: 0.62 = 62 = 31 . 100 50
2. No, because it cannot be written as a decimal that terminates or repeats.
3. Yes, as long as the decimal is infinite and nonrepeating, such as 0.31311311131111....
4. Yes, for example, 2 = 0.6 . 3
5. A decimal that is an irrational number is infinite and nonrepeating, such as the value for .
6. Both are real numbers and both can be written as decimals.
Success for English Learners
1. 1 = 0.25 4
2. Possible answer: If you have a square with a side length of 5, then 52 is how you find the area of that square.
3. Because the answer is an approximation.
LESSON 1-2
Practice and Problem Solving: A/B 1. real, rational 2. real, irrational 3. real, rational, integer 4. real, rational, integer 5. real, rational 6. real, rational, integer, whole 7. false; irrational real numbers include
nonterminating decimals 8. true; whole numbers are nonnegative
integers. 9. rational; all money amounts can be
written as fractions 10. real numbers; the temperature can be
any number between 0 and 100 degrees Celsius 11. rational, real 12. integers, rational, real 13. irrational, real 14. whole numbers, integers, rational, real
Practice and Problem Solving: C 1. real, irrational 2. integers, rational, real 3. irrational, real 4. whole numbers, integers, rational, real 5. real, rational 6. real, rational, integer, whole 7. integers; possible points are positive
and negative numbers 8. real; elevation can be any number
above or below zero 9. no; there are an infinite number of
rational numbers between any two integers
Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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