Which statement is true about the relationships between the number sets?
A) Some irrational numbers are also integers.
B) Not all natural numbers are real numbers.
C) Whole numbers include all natural numbers and 0.
D) All rational numbers are also integers.
C) Whole numbers include all natural numbers and 0.
Which of the following is true about −9
A) It is a whole number but not an integer.
B) It is an integer but not a whole number.
C) It is both an integer and a whole number.
D) It is an integer but not a rational number.
C) 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 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
To write the price strictly as a decimal, we can ignore the fraction part "9/10" and only consider the whole number part "$3.39". Therefore, a gallon costs $3.39.
Question
Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
fractions
fractions
positive numbers
positive numbers
integers
fractions
Question
Which set of numbers is always rational?(1 point)
Responses
decimals
fractions
positive numbers
integers
fractions
The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)
To find the approximate height of an equilateral triangle with a side length of 8 meters, we can substitute the given value of √3/2 as 7/4.
Height = (√3/2) * side length
Height = (7/4) * 8
Height = 28/4
Height = 7 meters
Therefore, the approximate height of the equilateral triangle is 7 meters.
Using a number line, what whole number and rational number to the nearest half is √40 between?
To determine the whole number and rational number to the nearest half that √40 is between, we can find the square root of 40 to obtain an approximate decimal value.
√40 ≈ 6.32455532034
To determine the whole number, we look for the whole number on either side of this decimal value:
Whole number to the left (lower): 6
Whole number to the right (higher): 7
To determine the rational number to the nearest half, we can round the decimal value to the nearest half:
Rational number to the left (lower): 6
Rational number to the right (higher): 6.5
Therefore, √40 is approximately between the whole number 6 and the rational number 6.5.
Using rational approximations, what is an inequality statement comparing √81 and √88? Enter <, >, or =.
To compare √81 and √88 using rational approximations, we can find the square roots of both numbers.
√81 = 9
√88 ≈ 9.380
Based on these values, we can conclude that √81 is less than (√88) ≈ 9.380. Therefore, the inequality statement comparing √81 and √88 is √81 < √88.
Monique measured the widths of several stamps in her collection of world stamps. The measurements are 1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2. What is the width of the widest stamp?
To find the width of the widest stamp among the given measurements, we compare the values.
1 5/8 = 13/8
1 11/16 = 17/16
1 3/4 = 7/4
1 1/2 = 3/2
To compare the fractions, we can convert them to a common denominator.
The common denominator for 8, 16, and 4 is 16.
13/8 = 26/16
17/16 = 17/16
7/4 = 28/16
3/2 = 24/16
Based on these values:
26/16, 17/16, 28/16, 24/16
The widest stamp has a width of 28/16 inches, which can be simplified to 1 3/4 inches.
Therefore, the width of the widest stamp is 1 3/4 inches.
What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter is 4.5 miles and using 3.14 for π, we can calculate the circumference:
Circumference = 3.14 * 4.5
Circumference = 14.13 miles
Rounded to the hundredths place, the approximate circumference of the circle is 14.13 miles.
Write 6,739 in expanded form
6,739 in expanded form is:
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