Subjects math

Basic Numbers 8Faae1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Basic Numbers 8Faae1


1. The problem asks to find all factors of 39. Factors are numbers that divide 39 exactly without leaving a remainder. Since 39 = 3 × 13, the factors are 1, 3, 13, and 39. 2. Estimate the value of \( \frac{6.7 \times 2.1}{18 - 5.9} \) by rounding each number to 1 significant figure. - Round 6.7 to 7 - Round 2.1 to 2 - Round 18 to 20 - Round 5.9 to 6 Calculate numerator: \(7 \times 2 = 14\) Calculate denominator: \(20 - 6 = 14\) Estimate: \(\frac{14}{14} = 1\) 3. Order the numbers 0.329, \(\frac{9}{27}\), 30%, and \(\frac{3}{8}\) from smallest to largest. Convert all to decimals: - 0.329 stays 0.329 - \(\frac{9}{27} = 0.333...\) - 30% = 0.30 - \(\frac{3}{8} = 0.375\) Order: 0.30, 0.329, 0.333..., 0.375 So in original form: 30%, 0.329, \(\frac{9}{27}\), \(\frac{3}{8}\) 4. (a) Write 67200000 in standard form. Standard form is \(a \times 10^n\) where \(1 \leq a < 10\). \(67200000 = 6.72 \times 10^7\) (b) Calculate \((3 \times 10^4) \times 100\) and give the answer in standard form. Rewrite 100 as \(10^2\). Multiply: \(3 \times 10^4 \times 10^2 = 3 \times 10^{4+2} = 3 \times 10^6\) 5. A regular polygon has 8 sides. (a) The name of an 8-sided polygon is an octagon. (b) The size of one exterior angle of a regular polygon is given by \(\frac{360^\circ}{n}\), where \(n\) is the number of sides. Calculate: \(\frac{360^\circ}{8} = 45^\circ\) Final answers: 1. Factors of 39: 1, 3, 13, 39 2. Estimate: 1 3. Order smallest to largest: 30%, 0.329, 9/27, 3/8 4. (a) \(6.72 \times 10^7\) (b) \(3 \times 10^6\) 5. (a) Octagon (b) \(45^\circ\)