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mathematics
basic technical mathematics

Questions and Answers of Basic Technical Mathematics

Evaluate the given expressions all numbers are approximate.−0.7112 − (−|−0.809|)6
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The PlayStation 5 game console has a graphic processing unit that can perform
Perform the indicated operations. The first number is approximate, and the second number is exact.8.62 ÷ 1728
Find the value of each square root by use of a calculator. Each number is approximate.a.b. √10.6276 +2.1609
Evaluate the given expressions all numbers are approximate.−(−26.5)2 − (−9.85)3
Simplify the given expressions. Express results with positive exponents only. (nRT-2) 32 R-27 32
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The frequency of a certain cell phone signal is 1,200,000,000 Hz.
Perform the indicated operations. The first number is approximate, and the second number is exact.−3.142(65)
Find the value of each square root by use of a calculator. Each number is approximate.a.b. √1296 + 2304
Evaluate the given expressions.6− |−2|5 − (−2)(8)
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.Data from Example 11For problems with multiple
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.A red blood cell measures 0.0075 mm across.
Perform the indicated operations. The first number is approximate, and the second number is exact.17.311 − 22.98
Evaluate the given expressions.7(−4) − (−5)2
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.A fiber-optic system requires 0.000003 W of power.
Simplify the given expressions. Express results with positive exponents only. 15n2T5 3n-T6
Simplify the given expressions. Express results with positive exponents only. 26² -ys -2
Perform the indicated operations. The first number is approximate, and the second number is exact.0.9788 + 14.9
Perform the indicated calculations using a calculator. All numbers are approximate. (9.9 x 107)(1.08 x 10¹²)² (3.603 x 10-5)(2054)
Find the value of each square root by use of a calculator. Each number is approximate.√0.0627
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.Data from Example 11For problems with multiple
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.A certain laptop computer has 2,048,000,000,000 bytes of memory.
Simplify the given expressions. Express results with positive exponents only. 4x-1 -1 a -3
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.Data from Example 11For problems with multiple
Find the value of each square root by use of a calculator. Each number is approximate.√0.8152
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.Data from Example 11For problems with multiple
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The average number of tweets per day on Twitter in 2020 was 500,000,000.
Perform the indicated calculations using a calculator. All numbers are approximate. (3.69 x 10-7)(4.61 x 10²¹) 0.0504
Find the value of each square root by use of a calculator. Each number is approximate.√3762
Simplify the given expressions. √8² 4² 2 2 -
Simplify the given expressions. √3² +9² 2 92
Find the value of each square root by use of a calculator. Each number is approximate.√85.4
Simplify the given expressions. Express results with positive exponents only.ax−2(−a2x)3
Simplify the given expressions. √25 + 144
Perform the indicated calculations using a calculator. All numbers are approximate. 0.00452 2430(97,100)
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.8.75 + (1.2)(3.84)Data from Example 11For problems with
Simplify the given expressions. √36 + 64
Simplify the given expressions. Express results with positive exponents only.(−8g−1s3)2
Perform the indicated calculations using a calculator. All numbers are approximate. 0.0732(6710) 0.00134(0.0231)
Perform the indicated calculations using a calculator. All numbers are approximate.(3.642 ×10−8)(2.736 ×105)
Simplify the given expressions. Express results with positive exponents only. (3t)-¹ -3t-1
Simplify the given expressions. 255-243 -3√144
Simplify the given expressions. Express results with positive exponents only.(3m−2n4)−2
Simplify the given expressions. Express results with positive exponents only. (n²)4 (n4)²
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately.6.3(4.18) ÷ 3.7
Simplify the given expressions. Express results with positive exponents only.(π0x2a−1)−1
Simplify the given expressions. Express results with positive exponents only. x²x3 (x²)3
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately.0.6572(3.94)
Simplify the given expressions. 2 7² √81 (-3)² -√49
Perform the indicated calculations using a calculator. All numbers are approximate.0.0000569(3,190,000)
Simplify the given expressions. Express results with positive exponents only. 2v4 (2v)4
Simplify the given expressions. C 4/92
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately.35.78 − 22.944 + 5.1
Perform the indicated calculations using a calculator. All numbers are approximate.1320(649,000)(85.3)
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately.12.78 + 1.0495 − 1.633
Simplify the given expressions. 3√-8² 2
Perform the indicated calculations and then check the result using a calculator. Assume that all numbers are exact.(2 ×10−16)−5
Simplify the given expressions. Express results with positive exponents only. L-3 L-5
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits0.9999
Simplify the given expressions. √81 x 10²
Perform the indicated calculations and then check the result using a calculator. Assume that all numbers are exact.(1.2 × 1029)3
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits0.9449
Simplify the given expressions. 80 V 13- 71
Simplify the given expressions. √108 2
Simplify the given expressions. Express results with positive exponents only.2i40i−70
Perform the indicated calculations and then check the result using a calculator. Assume that all numbers are exact.5.3 ×1012 − 3.7 × 1010
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits30.96
Perform the indicated calculations and then check the result using a calculator. Assume that all numbers are exact.2 ×10−35 + 3 ×10−34
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits5968
Simplify the given expressions. Express results with positive exponents only.(−y3)5
Change the number from ordinary notation to engineering notation.370,000
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.7040; 0.004
Simplify the given expressions. Express results with positive exponents only.−3x0
Determine the number of significant digits in each of the given approximate numbers. 200; 200̅; 200.00
Simplify the given expressions, the result is an integer.(√5)2
Simplify the given expressions. 2√84
Simplify the given expressions. Express results with positive exponents only. 1 R-2
Simplify the given expressions. Express results with positive exponents only. 1 -t-48
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits7.004
Simplify the given expressions. Express results with positive exponents only.(−t2)7
Change the number from ordinary notation to engineering notation.0.000000475
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits−50.893
Simplify the given expressions.√50
Change the number from ordinary notation to engineering notation.925,000,000,000
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits80.53
Simplify the given expressions.√1200
Change the number from ordinary notation to engineering notation.0.0973
Round off the given approximate numbers (a) To three significant digits and (b) To two significant digits4.936
Simplify the given expressions. Express results with positive exponents only.−w−5
Simplify the given expressions.−√32
Change the number from ordinary notation to engineering notation.0.0000056
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.50.060; |−8.914|
Perform the indicated calculations using a calculator and by first expressing all numbers in scientific notation. Assume that all numbers are exact. 0.00003 6,000,000
Simplify the given expressions. Express results with positive exponents only.6−1
Simplify the given expressions.√18
Change the number from ordinary notation to engineering notation.35,600,000
Simplify the given expressions, the result is an integer. (-4/53)4
Simplify the given expressions, the result is an integer. (-23)5
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.7000; 0.004
Perform the indicated calculations using a calculator and by first expressing all numbers in scientific notation. Assume that all numbers are exact. 88,000 0.0004

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