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Questions and Answers
If √22 lies between which two consecutive whole numbers?
If √22 lies between which two consecutive whole numbers?
What is the length of one side of a square tarpaulin covering a softball field with an area of 441 m^2?
What is the length of one side of a square tarpaulin covering a softball field with an area of 441 m^2?
If x^2 = 476, what is the value of x to the nearest tenth?
If x^2 = 476, what is the value of x to the nearest tenth?
What is the negative square root of -148?
What is the negative square root of -148?
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Estimate √90 to the nearest integer.
Estimate √90 to the nearest integer.
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What is the square root of -36?
What is the square root of -36?
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Find the negative square root of 840 to the nearest tenth.
Find the negative square root of 840 to the nearest tenth.
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Which set of numbers does the real number √104.04 belong to?
Which set of numbers does the real number √104.04 belong to?
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Is the statement 'A negative number is always an integer' sometimes, always, or never true?
Is the statement 'A negative number is always an integer' sometimes, always, or never true?
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What type of number is 5.3?
What type of number is 5.3?
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Which of the following numbers is an irrational number?
Which of the following numbers is an irrational number?
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Order the following numbers from least to greatest: 2 1−4, √28, 5.3, 5 1−3.
Order the following numbers from least to greatest: 2 1−4, √28, 5.3, 5 1−3.
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What is the solution to the equation m^2 = 0.0025?
What is the solution to the equation m^2 = 0.0025?
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Study Notes
Square Roots and Squares
- Find each square root:
- √100 = 10
- √144 = 12
- √-36 is not a real number
- √121 = 11
- √-148 is not a real number
- -√4 = -2
- -√9 = -3
- -√49 = -7
- Find each square root to the nearest tenth using a calculator:
- √2.25 ≈ 1.5
- √38 ≈ 6.2
- √249 ≈ 15.8
- √131 ≈ 11.4
- √7 ≈ 2.6
- √52 ≈ 7.2
- √168 ≈ 13
- √499 ≈ 22.4
- -√217 ≈ -14.7
- ±√218 ≈ ±14.8
- ±√42 ≈ ±6.5
- ±√94 ≈ ±9.7
- ±√50 ≈ ±7.1
- ±√11.7 ≈ ±3.4
- ±√208 ≈ ±14.4
- Find the negative square root of 840 to the nearest tenth: -√840 ≈ -29.0
- If x2 = 476, then x ≈ 21.8
- The number √22 lies between which two consecutive whole numbers: 4 and 5
Geometry
- If a square tarpaulin covering a softball field has an area of 441 m2, then the length of one side of the tarpaulin is: √441 = 21
Classifying Real Numbers
- Classify each real number:
- 12: W, Z, Q
- 25: W, Z, Q
- -5: Z, Q
- 1-8: I
- 1-9: I
- 0.343434...: Q
- √31: I
- √7: I
- -253: Z, Q
- -324: Z, Q
- 6.54: Q
- 24.6: Q
- 418: W, Z, Q
- 0: W, Z, Q
- 0.050050005...: Q
Statements
- Determine whether each statement is sometimes, always, or never true:
- A whole number is a rational number: always true
- A rational number is a whole number: sometimes true
- A negative number is an integer: sometimes true
- Zero is an irrational number: never true
Inequalities
- Replace each with , or = to make a true statement:
- √4 ≤ 2
- 3-7 < √5
- √104.04 ≈ 10.2
- 7.8 < √55
- 15.1 < √231
Ordering Sets of Numbers
- Order each set of numbers from least to greatest:
- 5, 1-3, 5.3, √28, 2 1-4
- √53, 7 1-4, 36-5, 7.27
- -9.35, -√72.75, -9-210, -9
Algebra
- Solve each equation:
- a2 = 64 → a ≈ 8
- d2 = 169 → d ≈ 13
- f2 = 441 → f ≈ 21
- 76 = g2 → g ≈ 8.7
- 115 = h2 → h ≈ 10.7
- k2 = 450 → k ≈ 21.2
- b2 = 4.41 → b ≈ 2.1
- y2 = 0.36 → y ≈ 0.6
- m2 = 0.0025 → m ≈ 0.05
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Description
Test your knowledge on finding square roots of both positive and negative numbers. Use a calculator to find square roots to the nearest tenth. Solve problems involving finding the value of x when given x^2. Practice identifying where a specific square root lies between two other numbers.
