Which statement is true about the relationships between the number sets?
Not all natural numbers are real numbers.
All rational numbers are also integers.
Some irrational numbers are also integers.
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Which of the following is true about −9?
It is both an integer and a whole number.
It is a whole number but not an integer.
It is an integer but not a whole number.
It is an integer but not a rational number.
It is both an integer and a whole number.
A sign in a gas station advertises gas at the rate of $3.39 9/10 (nine tenths or nine over ten in fraction) per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
To convert the fraction 9/10 to a decimal, divide the numerator (9) by the denominator (10):
9 ÷ 10 = 0.9
Therefore, a gallon of gas costs $3.39 + $0.9 = $3.39 + $0.90 = $4.29 as a decimal.
Which set of numbers is always rational?
positive numbers
integers
decimals
fractions
The set of numbers that is always rational is fractions.
The height of an equilateral triangle equals √3/2 (3 square rooted over 2 in fraction) times the side length. Using 7/4 (seven over four in fraction) for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?
To find the approximate height of an equilateral triangle with a side length of 8 meters, we need to multiply the side length by the value of √3/2.
Given that √3 is approximately 7/4, we can substitute this value into the formula:
Height = (√3/2) * Side Length
Approximating √3 as 7/4:
Height = (7/4) * 8
= 56/4
= 14 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 14 meters.