Katie typed a paper using Microsoft word. Microsoft word is a type of
word processing software.
Which statement is true about the relationships between the number sets?
Whole numbers include all natural numbers and 0.
Not all natural numbers are real numbers.
Some irrational numbers are also integers.
All rational numbers are also integers.
The correct statement is:
Whole numbers include all natural numbers and 0.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a whole number.
It is an integer but not a whole number.
It is a whole number but not an integer.
It is a whole number but not an integer.
It is an integer but not a rational number.
It is an integer but not a rational number.
It is both an integer and a whole number.
The correct answer is:
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 of gas strictly as a decimal, we need to convert the fraction 9/10 into decimal form.
To do this, we divide 9 by 10:
9 ÷ 10 = 0.9
So, 9/10 can be written as 0.9.
Now, we can write the price of gas per gallon as a decimal:
$3.39 + 0.9 = $3.399
Therefore, a gallon of gas costs $3.399 when written strictly as a decimal.
Which set of numbers is always rational?
The set of numbers that is always rational is the set of integers. Integers are whole numbers and their negatives, including zero. Every integer can be expressed as a fraction with a denominator of 1, making it a rational number.
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?
To find the approximate height of an equilateral triangle, we can substitute the given values into the formula: height = (√3/2) * side length.
Given:
Square root of 3 ( √3) is approximately 7/4.
Side length = 8 meters.
Substituting these values into the formula:
Height = (√3/2) * side length
= (7/4 * 8)/2
= (7 * 8)/8
= 7 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
The diagonal of a square equals √2 times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?
To find the approximate length from one corner to an opposite corner of a square park, we can use the given values and the formula: diagonal = √2 * side length.
Given:
Square root of 2 ( √2) is approximately 1.4.
Side length of the square park = 700 feet.
Substituting these values into the formula:
Diagonal = √2 * side length
= 1.4 * 700
= 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park that is 700 feet on a side is 980 feet.
Using a number line, what whole number and rational number to the nearest half is √40 between?
To find the whole number and rational number to the nearest half that √40 falls in between, we can calculate the square root of 40 and then locate the nearest whole and half numbers on the number line.
Calculating the square root of 40:
√40 ≈ 6.324
From this calculation, we can see that √40 is between the values 6 and 7.
To find the nearest half, which is a rational number, we can look at the decimal part of √40.
The decimal part is approximately:
0.324
Since this decimal value is closer to 0.5 than 0, the rational number to the nearest half would be 6.5.
Therefore, on the number line, √40 is between the whole numbers 6 and 7, and between the rational numbers 6.0 and 6.5
Using a number line, what whole number and rational number to the nearest half is √58 between?
To find the whole number and rational number to the nearest half that √58 falls in between, we can calculate the square root of 58 and then locate the nearest whole and half numbers on the number line.
Calculating the square root of 58:
√58 ≈ 7.615
From this calculation, we can see that √58 is between the values 7 and 8.
To find the nearest half, which is a rational number, we can look at the decimal part of √58.
The decimal part is approximately:
0.615
Since this decimal value is closer to 0.5 than 0, the rational number to the nearest half would be 7.5.
Therefore, on the number line, √58 is between the whole numbers 7 and 8, and between the rational numbers 7.0 and 7.5.