Math Problem Statement
Solution
Let's go through the questions in the image one by one:
Question 1
Which of the following are not rational square roots? Select all that apply.
- A:
- B:
- C:
- D:
Solution:
- is irrational because 45 is not a perfect square.
- is rational because 121 is a perfect square.
- is rational because 25 is a perfect square.
- is irrational because 27 is not a perfect square.
So, the irrational square roots are and .
Question 7
The weight of the blue whale is how many times as great as the weight of the giraffe?
- Giraffe: pounds
- Blue Whale: pounds
Solution:
So, the weight of the blue whale is 100 times the weight of the giraffe. The correct answer is (a) 100 times.
Question 8
Quantity A is how many times as great as Quantity B?
- Quantity A:
- Quantity B:
Solution:
So, Quantity A is 1500 times as great as Quantity B. The correct answer is (c) 1500 times.
Question 9
A mosquito is meters long, and a ladybug is meters long. How many meters longer is the ladybug than the mosquito?
Solution:
So, the ladybug is meters longer than the mosquito. The correct answer is (a) meters.
Do you want more details or have any questions about these solutions?
Here are five relative questions to expand your understanding:
- What makes a number's square root rational or irrational?
- How do you convert scientific notation to standard form?
- What is the difference between a ratio and a fraction?
- How can you simplify expressions involving powers of ten?
- Why is it important to understand the magnitude of numbers in scientific notation?
Tip: When dealing with scientific notation, always ensure that you handle the powers of ten correctly, as they play a crucial role in comparing magnitudes.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Scientific Notation
Ratios
Subtraction of Decimals in Scientific Notation
Formulas
Square root concept
Ratio = A / B
Subtraction of numbers in scientific notation
Theorems
Properties of Rational and Irrational Numbers
Suitable Grade Level
Grades 6-8
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