Podcast
Questions and Answers
If √22 lies between which two consecutive whole numbers?
If √22 lies between which two consecutive whole numbers?
- 2 and 3
- 5 and 6
- 4 and 5
- 3 and 4 (correct)
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?
- 19 m
- 21 m (correct)
- 23 m
- 17 m
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?
- 21.8
- 19.4
- 22.1 (correct)
- 20.4
What is the negative square root of -148?
What is the negative square root of -148?
Estimate √90 to the nearest integer.
Estimate √90 to the nearest integer.
What is the square root of -36?
What is the square root of -36?
Find the negative square root of 840 to the nearest tenth.
Find the negative square root of 840 to the nearest tenth.
Which set of numbers does the real number √104.04 belong to?
Which set of numbers does the real number √104.04 belong to?
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?
What type of number is 5.3?
What type of number is 5.3?
Which of the following numbers is an irrational number?
Which of the following numbers is an irrational number?
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.
What is the solution to the equation m^2 = 0.0025?
What is the solution to the equation m^2 = 0.0025?
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.
