Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
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Chapter 1, Problem 385RE

Use the divisibility tests to determine whether 180 is divisible by 2, by 3, by 5, by 6, and by 10.

Expert Solution & Answer
Check Mark
To determine

To write each number as a whole number using digits

Answer to Problem 385RE

1,043,922,311

Explanation of Solution

Given information:

One billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven

Concept used:

To write a whole number using digits:

  • Identify the words that indicates periods
  • Draw three blanks to indicate the number of places needed in each period. Separate the periods by commas
  • Name the number in each period and place the digits in the correct place value position

In order to write the given whole number using digits, we will identify the words that indicate periods. Except for the first period, all other periods must have three places. Draw three blanks to indicate the number of places needed in each period. Separate the periods by commas and write the digits in each period as per their place values. So we get

oneBillions,forty-three millionMillions,nine hundred twenty-two thousandThousands,three hundred elevenones __1_0_4_3_ 9_2_2_3_1_1_

Therefore, the number is 1,043,922,311.

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Chapter 1 Solutions

Intermediate Algebra

Ch. 1.1 - Evaluate when x=3 , (a) x2 (b) 4x (c) 3x2+4x+1 .Ch. 1.1 - Evaluate when x=6 , (a) x3 (b) 2x (c) 6x24x7 .Ch. 1.1 - Simplify: 3x2+7x+9+7x2+9x+8 .Ch. 1.1 - Simplify: 4y2+5y+2+8y2+4y+5 .Ch. 1.1 - Translate the English phrase into an algebraic...Ch. 1.1 - Translate the English phrase into an algebraic...Ch. 1.1 - Translate the English phrase into an algebraic...Ch. 1.1 - Translate the English phrase into an algebraic...Ch. 1.1 - The length of a rectangle is 7 less than the...Ch. 1.1 - The width of a rectangle is 6 less than the...Ch. 1.1 - Geoffrey has dimes and quarters in his pocket. The...Ch. 1.1 - Lauren has dimes and nickels in her purse. The...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, use the divisibility...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the prime...Ch. 1.1 - In the following exercises, find the least common...Ch. 1.1 - In the following exercises, find the least common...Ch. 1.1 - In the following exercises, find the least common...Ch. 1.1 - In the following exercises, find the least common...Ch. 1.1 - In the following exercises, find the least common...Ch. 1.1 - 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In the following exercises, translate the phrases...Ch. 1.1 - In the following exercises, translate the phrases...Ch. 1.1 - Explain in your own words how to find the prime...Ch. 1.1 - Why is it important to use the order of operations...Ch. 1.1 - Explain how you identify the like terms in the...Ch. 1.1 - Explain the difference between the phrases “4...Ch. 1.2 - Fill in < ,> , or = for each of the following...Ch. 1.2 - Fill in < , > , or = for each of the following...Ch. 1.2 - Simplify: 19|114(31)| .Ch. 1.2 - Simplify: 9|84(75)| .Ch. 1.2 - Add: (a) 2+(4) (b) 2+4 (c) 2+(4) .Ch. 1.2 - Add: (a) 2+(5) (b) 2+5 (c) 2+(5) .Ch. 1.2 - Subtract: (a) 64 (b) 6(4) (c) 64 (d) 6(4) .Ch. 1.2 - Subtract: (a) 74 (b) 7(4) (c) 74 (d) 7(4) .Ch. 1.2 - Simplify: (a) 2113 and 21+(13) (b) -11 - 7 and...Ch. 1.2 - Simplify: (a) 157 and 15+(7) (b) 148 and 14+(8)...Ch. 1.2 - Simplify: 8(31)9 .Ch. 1.2 - Simplify: 12(96)14 .Ch. 1.2 - Multiply or divide: (a) 115(5) (b) 512 (c) 9(7)...Ch. 1.2 - Multiply or divide: (a) 117(3) (b) 313 (c) 7(4)...Ch. 1.2 - Simplify: (a) (3)4 (b) 34 .Ch. 1.2 - Simplify: (a) (7)2 (b) 72 .Ch. 1.2 - Simplify: (a) 12(9)(3)3 (b) 273+(5)(6) .Ch. 1.2 - Simplify: (a) 18(4)(2)3 (b) 324+(2)(7) .Ch. 1.2 - Evaluate: 3x22xy+6y2 when x=1,y=2 .Ch. 1.2 - Evaluate: 4x2xy+5y2 when x=2,y=3 .Ch. 1.2 - Translate and simplify the sum of 9 and 16 ,...Ch. 1.2 - Translate and simplify the sum of 8 and 12 ,...Ch. 1.2 - The temperature in Anchorage, Alaska one morning...Ch. 1.2 - The temperature in Denver was 6 degrees at...Ch. 1.2 - In the following exercises, fill in <, >, or = for...Ch. 1.2 - In the following exercises, fill in <, >, or = for...Ch. 1.2 - In the following exercises, fill in <, >, or = for...Ch. 1.2 - In the following exercises, fill in <, >, or = for...Ch. 1.2 - In the following exercises, simplify. 63....Ch. 1.2 - In the following exercises, simplify. 64....Ch. 1.2 - In the following exercises, simplify. 65....Ch. 1.2 - In the following exercises, simplify. 66....Ch. 1.2 - In the following exercises, simplify. 67....Ch. 1.2 - 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Checking...Ch. 1.2 - Explain why the sum of 8 and 2 is negative, but...Ch. 1.2 - Give an example from your life experience of...Ch. 1.2 - In your own words, state the rules for multiplying...Ch. 1.2 - Why is 43=(4)3 ?Ch. 1.3 - Simplify: 69120 .Ch. 1.3 - Simplify: 120192 .Ch. 1.3 - Multiply: 113(9a) .Ch. 1.3 - Multiply: 137(14b) .Ch. 1.3 - Divide: 727(3536) .Ch. 1.3 - Divide: 514(1528) .Ch. 1.3 - Simplify: a8ab6 .Ch. 1.3 - Simplify: p2pq8 .Ch. 1.3 - Add: 712+1115.Ch. 1.3 - Add: 1315+1720 .Ch. 1.3 - Simplify: (a) 3a489 (b) 3a489 .Ch. 1.3 - Simplify: (a) 4k516 (b) 4k516 .Ch. 1.3 - Simplify: 8(2)+4(3)5(2)+3 .Ch. 1.3 - Simplify: 7(1)+9(3)5(3)2 .Ch. 1.3 - Simplify: ( 1 3 )223+2 .Ch. 1.3 - Simplify: 1+42( 1 4 )2.Ch. 1.3 - Simplify: 13+123413 .Ch. 1.3 - Simplify: 231214+13 .Ch. 1.3 - Evaluate 3ab2 when a=23 and b=12 .Ch. 1.3 - Evaluate 4c3d when c=12 and d=43 .Ch. 1.3 - In the following exercises, simplify. 143. 10863Ch. 1.3 - In the following exercises, simplify. 144. 10448Ch. 1.3 - In the following exercises, simplify. 145. 120252Ch. 1.3 - In the following exercises, simplify. 146. 182294Ch. 1.3 - In the following exercises, simplify. 147. 14x221yCh. 1.3 - In the following exercises, simplify. 148. 24a32b2Ch. 1.3 - In the following exercises, simplify. 149....Ch. 1.3 - In the following exercises, simplify. 150....Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, perform the indicated...Ch. 1.3 - In the following exercises, simplify. 167. 8211235Ch. 1.3 - In the following exercises, simplify. 168. 9163340Ch. 1.3 - In the following exercises, simplify. 169.452Ch. 1.3 - In the following exercises, simplify. 170.5310Ch. 1.3 - In the following exercises, simplify. 171. m3n2Ch. 1.3 - In the following exercises, simplify. 172. 38y12Ch. 1.3 - In the following exercises, add or subtract....Ch. 1.3 - In the following exercises, add or subtract....Ch. 1.3 - In the following exercises, add or subtract. 175....Ch. 1.3 - In the following exercises, add or subtract. 176....Ch. 1.3 - In the following exercises, add or subtract. 177....Ch. 1.3 - In the following exercises, add or subtract. 178....Ch. 1.3 - In the following exercises, add or subtract. 179....Ch. 1.3 - In the following exercises, add or subtract. 180....Ch. 1.3 - In the following exercises, add or subtract. 181....Ch. 1.3 - In the following exercises, add or subtract. 182....Ch. 1.3 - In the following exercises, add or subtract. 183....Ch. 1.3 - In the following exercises, add or subtract. 184....Ch. 1.3 - In the following exercises, add or subtract. 185....Ch. 1.3 - In the following exercises, add or subtract. 186....Ch. 1.3 - In the following exercises, add or subtract. 187....Ch. 1.3 - In the following exercises, add or subtract. 188....Ch. 1.3 - In the following exercises, add or subtract. 189....Ch. 1.3 - In the following exercises, add or subtract. 190....Ch. 1.3 - In the following exercises, add or subtract. 191....Ch. 1.3 - In the following exercises, add or subtract. 192....Ch. 1.3 - In the following exercises, simplify. 193....Ch. 1.3 - In the following exercises, simplify. 194 8976...Ch. 1.3 - In the following exercises, simplify. 195. 523235Ch. 1.3 - In the following exercises, simplify. 196. 624246Ch. 1.3 - In the following exercises, simplify. 197....Ch. 1.3 - In the following exercises, simplify. 198....Ch. 1.3 - In the following exercises, simplify. 199....Ch. 1.3 - In the following exercises, simplify. 200....Ch. 1.3 - In the following exercises, simplify. 201.23+42( 2...Ch. 1.3 - In the following exercises, simplify. 202.3332( 3...Ch. 1.3 - In the following exercises, simplify. 203. 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( 3 4...Ch. 1.3 - In the following exercises, simplify. 205. 213+15Ch. 1.3 - In the following exercises, simplify. 206. 514+13Ch. 1.3 - drymlIn the following exercises, simplify. 207....Ch. 1.3 - In the following exercises, simplify. 208....Ch. 1.3 - In the following exercises, simplify. 209. 38(310)Ch. 1.3 - In the following exercises, simplify. 210. 312(59)Ch. 1.3 - In the following exercises, simplify. 211.] 38+512Ch. 1.3 - In the following exercises, simplify. 212. 18+712Ch. 1.3 - In the following exercises, simplify. 213. 715y4Ch. 1.3 - In the following exercises, simplify. 214. 38x11Ch. 1.3 - In the following exercises, simplify....Ch. 1.3 - In the following exercises, simplify. 216....Ch. 1.3 - In the following exercises, simplify. 217....Ch. 1.3 - In the following exercises, simplify. 218. 13+2534Ch. 1.3 - In the following exercises, simplify. 219. 135110Ch. 1.3 - In the following exercises, simplify. 220. 156112Ch. 1.3 - In the following exercises, simplify. 221. 3816+34Ch. 1.3 - In the following exercises, simplify. 222. 25+5834Ch. 1.3 - In the following exercises, simplify. 223....Ch. 1.3 - In the following exercises, simplify. 224....Ch. 1.3 - In the following exercises, simplify. 225....Ch. 1.3 - In the following exercises, simplify. 226....Ch. 1.3 - In the following exercises, simplify. 227....Ch. 1.3 - In the following exercises, simplify. 228....Ch. 1.3 - In the following exercises, evaluate. 229. 710w...Ch. 1.3 - In the following exercises, evaluate. 230. 512w...Ch. 1.3 - In the following exercises, evaluate. 231. 2x2y3...Ch. 1.3 - In the following exercises, evaluate. 232. 8u2v3...Ch. 1.3 - In the following exercises, evaluate. 233. a+bab...Ch. 1.3 - In the following exercises, evaluate. 234. rsr+s...Ch. 1.3 - Why do you need a common denominator to add or...Ch. 1.3 - How do you find the LCD of 2 fractions?Ch. 1.3 - Explain how you find the reciprocal of a fraction.Ch. 1.3 - Explain how you find the reciprocal of a negative...Ch. 1.4 - Round 6.582 to the nearest (a) hundredth (b) tenth...Ch. 1.4 - Round 15.2175 to the nearest (a) thousandth (b)...Ch. 1.4 - Add or subtract: (a) 4.811.69 (b) 9.5810 .Ch. 1.4 - Add or subtract: (a) 5.12318.47 (b) 37.4250 .Ch. 1.4 - Multiply: 4.5(6.107) .Ch. 1.4 - Multiply: 10.79(8.12) .Ch. 1.4 - Multiply 2.58 by (a) 10 (b) 100 (c) 1000.Ch. 1.4 - Multiply 14.2 by (a) 10 (b) 100 (c) 1000.Ch. 1.4 - Divide: 23.492(0.04) .Ch. 1.4 - Divide: 4.11(0.12) .Ch. 1.4 - Write: (a) 0.234 as a fraction (b) 78 as a...Ch. 1.4 - Write: (a) 0.024 as a fraction (b) 38 as a...Ch. 1.4 - Convert each: (a) percent to a decimal: 9%, 87%,...Ch. 1.4 - Convert each: (a) percent to a decimal: 3%, 91%,...Ch. 1.4 - Simplify: (a) 36 (b) 169 (c) 225 .Ch. 1.4 - Simplify: (a) 16 (b) 196 (c) 100 .Ch. 1.4 - Given the numbers 3,2,0.3,95,4,49 , list the (a)...Ch. 1.4 - Given numbers 25,38,1,6,121, 2.041975..., list the...Ch. 1.4 - Locate and label the following on a number line:...Ch. 1.4 - Locate and label the following on a number line:...Ch. 1.4 - Locate on the number line: (a) 0.6 (b) 0.25 .Ch. 1.4 - Locate on the number line: (a) 0.9 (b) 0.75 .Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, round each number to...Ch. 1.4 - In the following exercises, add or subtract. 245....Ch. 1.4 - In the following exercises, add or subtract. 246....Ch. 1.4 - In the following exercises, add or subtract. 247....Ch. 1.4 - In the following exercises, add or subtract. 248....Ch. 1.4 - In the following exercises, add or subtract. 249....Ch. 1.4 - In the following exercises, add or subtract. 250....Ch. 1.4 - In the following exercises, add or subtract. 251....Ch. 1.4 - In the following exercises, add or subtract. 252....Ch. 1.4 - In the following exercises, add or subtract. 253....Ch. 1.4 - In the following exercises, add or subtract. 254....Ch. 1.4 - In the following exercises, add or subtract. 255....Ch. 1.4 - In the following exercises, add or subtract. 256....Ch. 1.4 - In the following exercises, multiply. 257....Ch. 1.4 - In the following exercises, multiply. 258....Ch. 1.4 - In the following exercises, multiply. 259....Ch. 1.4 - In the following exercises, multiply. 260....Ch. 1.4 - In the following exercises, multiply. 261....Ch. 1.4 - In the following exercises, multiply. 262....Ch. 1.4 - In the following exercises, multiply. 263....Ch. 1.4 - In the following exercises, multiply. 264....Ch. 1.4 - In the following exercises, multiply. 265....Ch. 1.4 - In the following exercises, multiply. 266....Ch. 1.4 - In the following exercises, multiply. 267....Ch. 1.4 - In the following exercises, multiply. 268....Ch. 1.4 - In the following exercises, divide. 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Simplify: 93(x+2) .Ch. 1.5 - Simplify: 7x5(x+4) .Ch. 1.5 - Simplify: 6(x9)(x+12) .Ch. 1.5 - Simplify: 8(x1)(x+5) .Ch. 1.5 - In the following exercises, simplify. 313....Ch. 1.5 - In the following exercises, simplify. 314....Ch. 1.5 - In the following exercises, simplify. 315....Ch. 1.5 - In the following exercises, simplify. 316....Ch. 1.5 - In the following exercises, simplify. 317....Ch. 1.5 - In the following exercises, simplify. 318....Ch. 1.5 - In the following exercises, simplify. 319. 24738Ch. 1.5 - In the following exercises, simplify. 320. 361149Ch. 1.5 - In the following exercises, simplify. 321....Ch. 1.5 - In the following exercises, simplify. 322....Ch. 1.5 - In the following exercises, simplify. 323....Ch. 1.5 - In the following exercises, simplify. 324....Ch. 1.5 - In the following exercises, simplify. 325....Ch. 1.5 - In the following exercises, simplify. 326....Ch. 1.5 - In the following exercises, simplify. 327. 12(56p)Ch. 1.5 - In the following exercises, simplify. 328. 20(35q)Ch. 1.5 - 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In your own words, state the Associative Property...Ch. 1.5 - What is the difference between the additive...Ch. 1.5 - Simplify 8(x14) using the Distributive Property...Ch. 1.5 - Explain how you can multiply 4($5. 97) without...Ch. 1 - Use the divisibility tests to determine whether...Ch. 1 - Find the prime factorization of 252.Ch. 1 - Find the least common multiple of 24 and 40.Ch. 1 - In the following exercises, simplify each...Ch. 1 - In the following exercises, simplify each...Ch. 1 - In the following exercises, evaluate the following...Ch. 1 - In the following exercises, evaluate the following...Ch. 1 - In the following exercises, simplify the following...Ch. 1 - In the following exercises, simplify the following...Ch. 1 - In the following exercises, translate the phrases...Ch. 1 - In the following exercises, translate the phrases...Ch. 1 - In the following exercises, translate the phrases...Ch. 1 - In the following exercise, fill in < ,> , or = for...Ch. 1 - In the following exercises, simplify. 398....Ch. 1 - 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