Real number calculator
Real numbers are numbers that can be found on the number line. This includes the natural numbers( 1,2,3 ...), integers (-3) rational (fractions) and irrational numbers (like √2 or π). Positive or negative, large or small, whole numbers or decimal numbers are all real numbers. Imaginary numbers and complex numbers cannot be draw in number line, but in complex plane.
Examples:• addition of real numbers: -3/2 + pi/2
• subtraction of real numbers: 32.14 - 67.32
• parenthesis: sin(pi/2) * (1.1+2.2+3.3)
• Complex example: Priority of operators and brackets: 3⋅[8−(−1) + (−3)÷(−3)]^2
Real numbers in word problems:
- The diameter 2
The diameter of the Earth is 12,756 kilometers. If Mercury's diameter is about 7,876.6 kilometers shorter than that of the Earth, what is the diameter of Mercury?
- Is equal
Is equal following terms? -9 21 = (-9) 21
- Is complex
Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
- Fruit punch 2
Alberto makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally into 6 glasses. How much fruit punch is in each glass?
- Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
- Write 3
Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
- Subtract 4
Subtract the following decimals. a. 0.98 - 0.053 b. 0.67 - 0.4 c. 0.3 - 0.002 d. 3.2 - .789 e. 6.53 - 4.298 f. 6 - 4.32 g. 7 - 3.574 h. 4.83 - 1.8 i. 3.7 - 1.8 j. 16.17 - 11.632
- Equation with abs value
How many solutions has the equation ? in the real numbers?
- Logarithmic equation
Solve equation: log13(7x + 12) = 0
- The sum 10
The sum of three decimals are 938.629. Two of them are 456.54 and 392.69. Find the third one.
- Sorting ASC
Which group of decimals is in order from least to greatest? A) 1.04, 0.39, 0.8, 2.1, 0.09 B) 2.1, 1.04, 0.39, 0.8, 0.09 C) 0.09, 0.39, 0.8, 1.04, 2.1 D) 0.09, 0.39, 0.8, 2.1, 1.04
Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
- Quadratic equation
Determine the numbers b, c that the numbers x1 = -1 and x2 = 3 were roots of quadratic equation: -3x 2 + b x + c = 0
Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
- Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies.
- Bubble bee marbles
Mark has 100 marbles. Seventeen are bubble bee marbles. What decimal number shows the fraction of marbles that are bumblebees?
- Mixing operations with numbers
Subtract twice the number -23.6 from the difference of the numbers -130 and -40.2.
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