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Unformatted text preview: e to find the sum quickly:
100(24) + 10(24) + (24) = 2400 + 240 + 24 = 2664.
3. {0, 1, 2, 3, 4}: If d is 5 or greater, the decimal rounded to the nearest tenth will be 2.5.
4. 6: Multiplying 0.02468 by a positive power of ten will shift the decimal point to the right. Simply shift
the decimal point to the right until the result is greater than 10,000. Keep track of how many times you
shift the decimal point. Shifting the decimal point 5 times results in 2,468. This is still less than 10,000.
Shifting one more place yields 24,680, which is greater than 10,000.
5. { −2, −3}: In order to give 2002 a value between 1 and 100, we must shift the decimal point to change
the number to 2.002 or 20.02. This requires a shift of either two or three places to the left. Remember
that, while multiplication shifts the decimal point to the right, division shifts it to the left. To shift the decimal point 2 places to the left, we would divide by 102. To shift it 3 places to the left, we would divide by
103. Therefore, the exponent −b = {2, 3}, and b = { −2, −3}.
6. 90,000: Use the Heavy Division Shortcut to estimate:
450,000
4,509,982,344
4,500,000,000
=
= 90,000
53,420
50,000
5
7. 5,200: Use the order of operations, PEMDAS (Parentheses, Exponents, Multiplication & Division,
Addition and Subtraction) to simplify.
15,600
15.6
9 + 6.6
=
=
= 5,200
3
0.003
0.003
8. 0.0375: First, rewrite the numbers in standard notation by shifting the decimal point. Then, add zeroes,
line up the decimal points, and subtract.
0.0400
− 0.0025
0.0375
9. 46: To divide by a positive power of 10, shift the decimal point to the left. This yields 45.63021. To
round to the nearest whole number, look at the tenths place. The digit in the tenths place, 6, is more than
five. Therefore, the number is closest to 46.
10. 0.016: Use the order of operations, PEMDAS (Parentheses, Exponents, Multiplication & Division,
Addition and Subtraction) to simplify. Shift the decimals in the numerator and denominator so that you
are dividing by an integer.
(0.08)2 0.0064 0.064
=
=
= 0.016
0.4
0.4
4
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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 University of Arizona Tucson.
 Spring '07
 MEJIAS

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