Real numbers - practice problems
Real numbers include all rational numbers (integers, fractions) and irrational numbers (non-repeating, non-terminating decimals), forming a complete ordered set that can be represented on the number line. Every point on the number line corresponds to exactly one real number. Real numbers support all standard arithmetic operations and ordering relationships. Key subsets include natural numbers, whole numbers, integers, rational numbers, and irrational numbers like √2 and π. Properties of real numbers include closure, commutativity, associativity, identity elements, and inverses for addition and multiplication. Understanding real numbers is fundamental to algebra, calculus, and most mathematical applications in science and engineering.Directions: Provide a careful solution to each problem, showing all steps in your work.
Number of problems found: 162
- During 2
During the 2006 Olympics, a gymnast received the following scores: 8.9, 9.2, 9.15, and 9.05. What is the sum of the gymnast's scores? - The mystery number
Find the number that is 10,000 less than 632,724.925 - Decadic number What is the expanded form of this number? 18.029 A: (1x10)+(8x1)+(2x1/10)+(9x1/100) B: (1×10)+(8×1)+(2×1/10)+(9×1/1,000) C: (1×10)+(8×1)+(2×1/100)+(9×1/1,000) D: (1×10)+(8×1)+(2×11/00)+(9×1/100)
- Jacqui
Jacqui ran a mile and a half on Monday, Wednesday, and Friday and three-fourths of a mile on Tuesday and Thursday. How far did she run in all? - Scientific notation mul
A student found the product of 8 × 10³ and 7 × 105 to be 5.6 × 108. What is the error? What is the correct product? Complete the explanation. - 5 addition problems
No problem; here are five decimal addition problems for you to practice: 1. What is the result of 3.5 + 2.1? 2. What is the result of 0.8 + 0.3? 3. What is the result of 5.2 + 1.7? 4. What is the result of 2.5 + 0.9? 5. What is the result of 1.4 + 0.6? I - James 7
James bought a pair of shoes worth 650.00 pesos. Eyeglasses that cost p 86.75 and some school supplies worth p 538.95. How much did he spend in all? - Five and four
Five divided by four times the number is 0.25. What is that number? - Is equal
Is it equal following terms? -9 21 = (-9) 21 - Decimal places
How many decimal places would the product of 2.79 and 0.0043 have? - Which 8
Which among the following real numbers below is the least? A. 5/8 B. 0.75 C. 7/10 D. 35/99 - Write 3
Write a real-world problem involving the multiplication of a fraction and a whole number with a product between 8 and 10, then solve the problem. - Reciprocal
Calculate the reciprocal numbers for the given real numbers. - Decimal number
I am a decimal number between 0.3 and 0.5. the digit in my hundredth place is five more than the digit in tenth place, off the number in tenth place is 4. What is the number? - Round 19
Round 644.4 to the nearest one. - The diameter 2
The diameter of the Earth is 12,756 kilometers. If Mercury's diameter is about 7,876.6 kilometers shorter than Earth's, what is Mercury's diameter? - Difference of a half
Calculate three times the half difference of 7.5 and 2.1, - 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 - Expression values
Determine the values of the following expressions: a) 3² - (- 4) b) 4-321 c) -32-7 - Number sum comparison How many times is the number 0.045 greater than the sum of 0.006 and 0.003?
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