Write an equation that defines the exponential function with base a 0. (b) What is the domain of this function? (c) If a cannot = 1 what is the range of this function. Vocabulary for C.1.3 Learn with flashcards, games, and more — for free.
Calca 1.3.1 En
- Conversion a mixed number 3 3/8 to a improper fraction: 3 3/8 = 3 3/8 = 3 · 8 + 3/8 = 24 + 3/8 = 27/8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/8 = 24/8
b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write previous answer (new numerator 27) over the denominator 8.
Three and three eighths is twenty-seven eighths - Subtract: 1/2 - 27/8 = 1 · 4/2 · 4 - 27/8 = 4/8 - 27/8 = 4 - 27/8 = -23/8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one half minus twenty-seven eighths = minus twenty-three eighths. - Multiple: 1/3 * the result of step No. 2 = 1/3 * (-23/8) = 1 · (-23)/3 · 8 = -23/24
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths.
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