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Summary and Review Exercise Review Exercise 1. Identify whether each of the following numbers is divisible by 2,3,4,56,8,9 or 10. b. 10,222 c. 64,916 2. A four digit number has digit form "a4b2". If it is divisible by 3, what are the possible values of a+b 3. Fill in the blank space. a. __ is the sum of the smallest prime number and the smallest composite number. b. __ is the smallest composite number. 4. Write each as prime factorization form. a. 57 b. 168 c. 536 5. Find the GCF and LCM of the numbers given below. a. 36,60 b. 84,224 c. 15,39,105 6. The GCF of two numbers is 9 and the LCM of these two numbers is 54. If one of the numbers is 27, what is the other number? 7. Express each of the following rational numbers as decimals. a. -2(1)/(5) b. (11)/(7) c. (17)/(13) 8. Express each of the following decimals a a fraction in simplest form. a. 0.38 b. 2.overline (1)2 c -0.123 9. Prove that there exists a real number between any two real numbers. 10. If (a)/(b)and(c)/(d) are two rational numbers show that (a)/(b)times (c)/(d)is also rational number. 11.Find the absolute value of each of the following. a. -10.1418 b. sqrt [3](6)-2 c=where a,bin R and ageqslant 0 and blt 0. Summary and Review Exercise 12.Give equivalent expression containing fractional exponents, for each of the following 13.Describe the following numbers as fractions with rational denominators a. -(2)/(sqrt (5)) b. (4)/(1-sqrt (2)) c (sqrt (2))/(sqrt (3)+sqrt (2)) d (1)/(sqrt (2)+sqrt (5)+1) 14.Find an imational number between (1)/(7)4n (2)/(7) 15.Given (sqrt (2)+sqrt (3))/(4+sqrt (3))=asqrt (2)+bsqrt (3)+csqrt (6)+d Then, find a,b,c and d. 16. Simplify each of the following. a b. (1)/(3)times (sqrt (5)-sqrt (2))times (sqrt (5)+sqrt (2)) c 3sqrt (28)div 8sqrt (7) e (sqrt (72)-3sqrt (24))/(sqrt (2)) f. (2sqrt (72))/(3)-(3sqrt (128))/(4)+5sqrt ((1)/(2)) 17. Each of the following numbers is correct to one decimal place. - Give the upper and lower bounds of each. . Using x as the number, express the range in which the number lies as an inequality. a. 2.4 b. 10.6 18. Express each of the following numbers in scientific notation. a. 567,200,000 b. 0.00000774 c. 154.6times 10^5

Pergunta

Summary and Review Exercise
Review Exercise
1. Identify whether each of the following numbers is divisible by
2,3,4,56,8,9 or 10.
b. 10,222	c. 64,916
2. A four digit number has digit form "a4b2". If it is divisible by 3, what are the
possible values of a+b
3. Fill in the blank space.
a. __ is the sum of the smallest prime number and the smallest
composite number.
b. __ is the smallest composite number.
4. Write each as prime factorization form.
a. 57	b. 168	c. 536
5. Find the GCF and LCM of the numbers given below.
a. 36,60	b. 84,224	c. 15,39,105
6. The GCF of two numbers is 9 and the LCM of these two numbers is 54. If
one of the numbers is 27, what is the other number?
7. Express each of the following rational numbers as decimals.
a. -2(1)/(5)	b. (11)/(7)	c. (17)/(13)
8. Express each of the following decimals a a fraction in simplest form.
a. 0.38	b. 2.overline (1)2	c -0.123
9. Prove that there exists a real number between any two real numbers.
10. If (a)/(b)and(c)/(d) are two rational numbers show that (a)/(b)times (c)/(d)is also rational number.
11.Find the absolute value of each of the following.
a. -10.1418 b. sqrt [3](6)-2 c=where a,bin R and ageqslant 0 and blt 0.
Summary and Review Exercise
12.Give equivalent expression containing fractional exponents, for each of the
following
13.Describe the following numbers as fractions with rational denominators
a. -(2)/(sqrt (5)) b. (4)/(1-sqrt (2))	c (sqrt (2))/(sqrt (3)+sqrt (2)) d (1)/(sqrt (2)+sqrt (5)+1)
14.Find an imational number between (1)/(7)4n (2)/(7)
15.Given (sqrt (2)+sqrt (3))/(4+sqrt (3))=asqrt (2)+bsqrt (3)+csqrt (6)+d Then, find a,b,c and d.
16. Simplify each of the following.
a	b. (1)/(3)times (sqrt (5)-sqrt (2))times (sqrt (5)+sqrt (2)) c 3sqrt (28)div 8sqrt (7)
e (sqrt (72)-3sqrt (24))/(sqrt (2))	f. (2sqrt (72))/(3)-(3sqrt (128))/(4)+5sqrt ((1)/(2))
17. Each of the following numbers is correct to one decimal place.
- Give the upper and lower bounds of each.
. Using x as the number, express the range in which the number lies as an
inequality.
a. 2.4
b. 10.6
18. Express each of the following numbers in scientific notation.
a. 567,200,000 b. 0.00000774	c. 154.6times 10^5

Summary and Review Exercise Review Exercise 1. Identify whether each of the following numbers is divisible by 2,3,4,56,8,9 or 10. b. 10,222 c. 64,916 2. A four digit number has digit form "a4b2". If it is divisible by 3, what are the possible values of a+b 3. Fill in the blank space. a. __ is the sum of the smallest prime number and the smallest composite number. b. __ is the smallest composite number. 4. Write each as prime factorization form. a. 57 b. 168 c. 536 5. Find the GCF and LCM of the numbers given below. a. 36,60 b. 84,224 c. 15,39,105 6. The GCF of two numbers is 9 and the LCM of these two numbers is 54. If one of the numbers is 27, what is the other number? 7. Express each of the following rational numbers as decimals. a. -2(1)/(5) b. (11)/(7) c. (17)/(13) 8. Express each of the following decimals a a fraction in simplest form. a. 0.38 b. 2.overline (1)2 c -0.123 9. Prove that there exists a real number between any two real numbers. 10. If (a)/(b)and(c)/(d) are two rational numbers show that (a)/(b)times (c)/(d)is also rational number. 11.Find the absolute value of each of the following. a. -10.1418 b. sqrt [3](6)-2 c=where a,bin R and ageqslant 0 and blt 0. Summary and Review Exercise 12.Give equivalent expression containing fractional exponents, for each of the following 13.Describe the following numbers as fractions with rational denominators a. -(2)/(sqrt (5)) b. (4)/(1-sqrt (2)) c (sqrt (2))/(sqrt (3)+sqrt (2)) d (1)/(sqrt (2)+sqrt (5)+1) 14.Find an imational number between (1)/(7)4n (2)/(7) 15.Given (sqrt (2)+sqrt (3))/(4+sqrt (3))=asqrt (2)+bsqrt (3)+csqrt (6)+d Then, find a,b,c and d. 16. Simplify each of the following. a b. (1)/(3)times (sqrt (5)-sqrt (2))times (sqrt (5)+sqrt (2)) c 3sqrt (28)div 8sqrt (7) e (sqrt (72)-3sqrt (24))/(sqrt (2)) f. (2sqrt (72))/(3)-(3sqrt (128))/(4)+5sqrt ((1)/(2)) 17. Each of the following numbers is correct to one decimal place. - Give the upper and lower bounds of each. . Using x as the number, express the range in which the number lies as an inequality. a. 2.4 b. 10.6 18. Express each of the following numbers in scientific notation. a. 567,200,000 b. 0.00000774 c. 154.6times 10^5

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1. <br />b. 10,222 is divisible by 2 and 4.<br />c. 64,916 is divisible by 2, 4, and 8.<br /><br />2. The possible values of a+b are 0, 3, 6, or 9.<br /><br />3. <br />a. 4 is the sum of the smallest prime number and the smallest composite number.<br />b. 4 is the smallest composite number.<br /><br />4. <br />a. 57 = 3 × 19<br />b. 168 = 2^3 × 3 × 7<br />c. 536 = 2^3 × 67<br /><br />5. <br />a. GCF: 12, LCM: 180<br />b. GCF: 56, LCM: 168<br />c. GCF: 3, LCM: 1365<br /><br />6. The other number is 18.<br /><br />7. <br />a. -2.2<br />b. 1.5714<br />c. 1.3077<br /><br />8. <br />a. 0.38 = 19/50<br />b. 2.12 = 21/10<br />c. -0.123 = -123/1000<br /><br />9. By the Intermediate Value Theorem, there exists a real number between any two real numbers.<br /><br />10. The product of two rational numbers is also a rational number.<br /><br />11. <br />a. 10.1418<br />b. 0.4422<br />c. |a| - |b|<br /><br />12. <br />a. 2^(1/5)<br />b. 4(1+sqrt(2))<br />c. sqrt(2)(sqrt(3)-sqrt(2))<br />d. 1/(sqrt(2)+sqrt(5)+1)<br /><br />13. <br />a. -2sqrt(5)/5<br />b. 4(1+sqrt(2))/(1-2)<br />c. sqrt(2)(sqrt(3)-sqrt(2))<br />d. 1/(sqrt(2)+sqrt(5)+1)<br /><br />14. An irrational number between 1/7 and 2/7 is sqrt(2)/14.<br /><br />15. a = 1/4, b = 1/4, c = 1/4, d = 1/4<br /><br />16. <br />a. 1<br />b. 1<br />c. 3/4<br />e. 3<br />f. 5<br /><br />17. <br />a. Upper bound: 2.5, Lower bound: 2.3, Range: 2.3 ≤ x < 2.5<br />b. Upper bound: 10.7, Lower bound: 10.5, Range: 10.5 ≤ x < 10.7<br /><br />18. <br />a. 5.672 × 10^8<br />b. 7.74 × 10^-6<br />c. 1.546 × 10^8
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