Rational Revelations and Irrational Insights
This type of number can be expressed as a fraction a/b, where a and b are integers and b≠0.
What is a rational number?
The square root of 81 is this whole number.
What is 9?
When you multiply two exponentials with the same base, you do this with their exponents.
What is adding the exponents?
This is the form of writing very large or very small numbers, using powers of ten.
What is scientific notation?
The expression 50 equals what value?
What is 1?
This famous mathematical constant, approximately 3.14159, is known as the ratio of a circle's circumference to its diameter.
What is pi?
This irrational number, approximately 1.414, is between the integers 1 and 2.
What is the square root of 2?
This property states that when you raise an exponential to another power, you do this with the exponents.
What is multiplying the exponents?
In scientific notation, the coefficient (the number in front) must be in this range.
What is between 1 and 10?
Which of the following is irrational: 0.75, √3, 1/2, or -4?
What is √3?
The sum of a rational number and an irrational number is always this type of number.
What is an irrational number?
The product of some integer with itself are these.
What are perfect squares?
This is the result of any non-zero number raised to the power of zero.
What is 1?
To convert the number 0.00067 into scientific notation, it becomes this.
What is 6.7x10-4?
What is (23)2 simplified?
What is 26 or 64?
The number 5/2 and the integer -7 are examples of this type of number.
What is a rational number?
The square root of numbers that are not perfect squares are called this.
What are irrational numbers?
When dividing two exponentials with the same base, you do this with their exponents.
What is subtracting the exponents?
The number 3.2×105 represents this large number in standard form.
What is 320,000?
What is the product of (3.0 × 10⁵) and (2.0 × 10⁻³) in scientific notation?
What is 6.0 × 10²?
These are the terms used to describe the two ways to represent rational numbers as a decimal.
What are terminating and repeating decimals?
Fill in the blank.
If _______________, then the square root of a is less than the square root of b.
What is a is less than b?
According to this property, a-n is equal to 1/(an).
What is the negative exponent rule?
The expression (7.2 x 103 )/(2.4 x 101) simplifies to this in scientific notation.
What is 3.0 x 102?
A scientist is studying the population of bacteria in a laboratory culture. Initially, the population is 2.5×104 bacteria. After 3 hours, the population grows by a factor of 4.
What is the new population of bacteria after 3 hours?
What is 1.0 x 105?