text: fdp-4th
  
  # 3 in the decimal 24d7 d represents a digit from 0 to 9
  
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  Unformatted text preview: and rules you learned in this section. 1. What is the units digit of (2)5(3)3(4)2? 2. What is the sum of all the possible 3-digit numbers that can be constructed using the digits 3, 4, and 5, if each digit can be used only once in each number? 3. In the decimal, 2.4d7, d represents a digit from 0 to 9. If the value of the decimal rounded to the nearest tenth is less than 2.5, what are the possible values of d? 4. If k is an integer, and if 0.02468 × 10k is greater than 10,000, what is the least possible value of k? 5. Which integer values of b would give the number 2002 ÷ 10−b a value between 1 and 100? 6. Estimate to the nearest 10,000: 7. Simplify: (4.5 × 2 + 6.6) ÷ 0.003 8. Simplify: (4 × 10−2) − (2.5 × 10−3) 9. What is 4,563,021 ÷ 105, rounded to the nearest whole number? 10. Simplify: (0.08)2 ÷ 0.4 11. Data Sufficiency: The number A is a two-digit positive integer; the number B is the two-digit positive integer formed by reversing the digits of A. If Q = 10B – A, what is the value of Q? 4,509,982,344 5.342 × 104 (1) The tens digit of A is 7. (2) The tens digit of B is 6. 12. Simplify: [8 − (1.08 + 6.9)]2 13. Which integer values of j would give the number −37,129 × 10 j a value between −100 and −1? * Manhattan GMAT Prep the new standard 21 IN ACTION ANSWER KEY DIGITS & DECIMALS SOLUTIONS Chapter 1 1. 4: Use the Last Digit Shortcut, ignoring all digits but the last in any intermediate products: Drop the tens digit and keep only the last digit: 2. STEP ONE: 25 = 32 3 Drop the tens digit and keep only the last digit: 7. STEP TWO: 3 = 27 STEP THREE: 42 = 16 Drop the tens digit and keep only the last digit: 6. STEP FOUR: 2 × 7 × 6 = 84 Drop the tens digit and keep only the last digit: 4. 2. 2664: There are 6 ways in which to arrange these digits: 345, 354, 435, 453, 534, and 543. Notice that each digit appears twice in the hundreds column, twice in the tens column, and twice in the ones column. Therefore, you can use your knowledge of place valu...
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  ## This note was uploaded on 02/07/2014 for the course MIS 304 taught by Professor Mejias during the Spring '07 term at Arizona.
  
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