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Ch.1_Solution_Manual_Ed.1_v5_

Ch.1_Solution_Manual_Ed.1_v5_ - Exercise 1.1 Exercise 1.1...

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Exercise 1.1 Exercise 1.1, Solution 1: i. 5,249,346 Expanded form: 5,000,000 + 200,000 + 40,000 + 9,000 + 300 + 40 + 6 Word form: Five million, two hundred forty-nine thousand, three hundred forty-six. ii. 95,275,385 Expanded form: 90,000,000 + 5,000,000 + 200,000 + 70,000 + 5,000 + 300 + 80 + 5 Word form: Ninety-five million, two hundred seventy-five thousand, three hundred eighty- five. iii. 1,146,045,787 Expanded form: 1,000,000,000 + 100,000,000 + 40,000,000 + 6,000,000 + 40,000 + 5,000 + 700 + 80 + 7 Word form: One billion, one hundred forty-six million, forty-five thousand, seven hundred eighty-seven. iv. 297.50 Expanded form: 200 + 90 + 7 + 0.50 Word form: Two hundred ninety-seven point five zero. Exercise 1.1, Solution 3: a. Sixty-five thousand, two hundred forty-four point three four Standard form: 65,244.34 b. Twelve million, four hundred fifty-two thousand, eight hundred thirty-two Standard form: 12,452,832 c. One-eighth of a million Standard form: One-eighth of a million is × 1,000,000 = 125,000 d. Half of a billion Standard form: × 1,000,000,000 = 500,000,000 Exercise 1.1, Solution 5: a. Eighty-nine million, six hundred thirteen thousand, five hundred twenty-two, point one three Standard form: 89,613,522.13 b. Sixteen million, two hundred seventeen thousand, five hundred sixty-seven Standard form: 16,217,567 c. Half of a million Standard form: Half of a million is × 1,000,000 = 500,000 d. Three-quarters of a trillion Standard form: Three-quarters of a trillion is × 1,000,000,000,000 = 750,000,000,000
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Exercise 1.1, Solution 7: a. 1645 to the nearest ten Rounding 1645 to the nearest ten Identify the rounding digit in the tens place: 1645 (4 is the digit in the tens place) The digit to the immediate right of the rounding digit is 5. So we increase the value of the rounding digit, 4, by one to 5 and change the value of the digits on the right hand side of the rounding digit to 0, which will give 1650. Therefore, 1645 rounded to the nearest ten is 1650. b. 9558 to the nearest thousand Rounding 9558 to the nearest thousand Identify the rounding digit in the thousands place: 9558 (9 is the digit in the thousands place) The digit to the immediate right of the rounding digit is 5 so we increase the value of the rounding digit, 9, by one to 10 and change the value of the digits on the right hand side of the rounding digit to 0, which will give 10,000. Therefore, 9558 rounded to the nearest thousand is 10,000. c. $25,972 to the nearest $1000 Rounding 25,972 to the nearest thousand Identify the rounding digit in the thousands place: 25,972 (5 is the digit in the thousands place) The digit to the immediate right of the rounding digit is 9, which is greater than 5, so we increase the value of the rounding digit, 5, by one to 6 and change the value of the digits on the right hand side of the rounding digit to 0, which will give 26,000. Therefore, $25,972 rounded to the nearest $1000 is $26,000. d. $895 to the nearest $10 Rounding $895 to the nearest $10 Identify the rounding digit in the tens place: 895 (9 is the digit in the tens place) The digit to the immediate right of the rounding digit is 5, so we increase the value of the rounding digit, 9 by one. This will make the rounding digit 0 and the digit to the left of it will be increased by one and change the value of the digits on the right hand side of the rounding digit to 0, which will give 900.
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