Of these things in an environment, which one is a living thing?
What made the discovery of cells possible?
Which of the following best describes cell theory?
Amoebas are unicellular. The single cell splits in half to form two new cells. A student claims amoebas are alive. Is the student correct?
Of these things in an environment, a living thing would be the correct answer.
The discovery of cells was made possible by advancements in microscope technology, specifically the invention of the compound microscope in the late 16th century.
The best description of cell theory is that it states all living organisms are composed of cells, cells are the basic units of structure and function in living organisms, and all cells arise from pre-existing cells.
Yes, the student is correct. Amoebas are indeed alive as they are single-celled organisms capable of growth, reproduction, and responding to stimuli.
Of these things in an environment, which one is a living thing?
fungus
soil
water
air
Of the things listed, fungus would be considered a living thing. Soil, water, and air are all components of the environment but are not considered living organisms.
Which of the following best describes cell theory?
cell theory describes the difference between multicellular and unicellular organisms.
cell theory describes the process of how cells come from preexisting cells.
cell theory describes the tiny structures that are found within cells.
cell theory describes the three criteria for determining living things.
The best description of cell theory is that it describes the process of how cells come from preexisting cells. Cell theory states that all living organisms are composed of cells and that cells can only come from preexisting cells through cell division.
Use the additive inverse to find 8.76−26.54.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
The additive inverse of 8.76 is -8.76, and the additive inverse of 26.54 is -26.54.
Therefore, to find 8.76 - 26.54 using the additive inverse:
8.76 - 26.54 = 8.76 + (-26.54) = -17.78
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the given expression: −12 2/3−(−8 5/6)
The additive inverse of −12 2/3 is 12 2/3, and the additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3−(−8 5/6) can be rewritten as 12 2/3 + 8 5/6.
Now, let's add the mixed numbers:
12 + 8 = 20
2/3 + 5/6 = (4/6) + (5/6) = 9/6 = 1 3/6 = 1 1/2
So, 12 2/3 + 8 5/6 equals 20 1/2 as a mixed number.
wrong
Apologies for the mistake. Let's correct it.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the given expression: −12 2/3−(−8 5/6)
The additive inverse of −12 2/3 is 12 2/3, and the additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3−(−8 5/6) can be rewritten as 12 2/3 + 8 5/6.
Now, let's add the mixed numbers:
12 + 8 = 20
2/3 + 5/6 = (4/6) + (5/6) = 9/6 = 3/2
So, 12 2/3 + 8 5/6 equals 20 3/2 as a mixed number.
wrong again
Apologies for the repeated mistakes. Let's correct it once again.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the given expression: −12 2/3−(−8 5/6)
The additive inverse of −12 2/3 is 12 2/3, and the additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3−(−8 5/6) can be rewritten as 12 2/3 + 8 5/6.
Now, let's add the mixed numbers:
12 + 8 = 20
2/3 + 5/6 = (4/6) + (5/6) = 9/6 = 3/2
So, 12 2/3 + 8 5/6 equals 20 3/2 as a mixed number.
My apologies, I made a mistake in providing the correct answer. Let's try it again.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the given expression: −12 2/3 − (−8 5/6)
The additive inverse of −12 2/3 is 12 2/3, and the additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3 − (−8 5/6) can be rewritten as 12 2/3 + 8 5/6.
Now, let's add the mixed numbers:
12 + 8 = 20
2/3 + 5/6 = (4/6) + (5/6) = 9/6 = 3/2
So, −12 2/3 − (−8 5/6) equals 20 3/2 as a mixed number.
wrong answer
Apologies for the repeated mistakes. Here is the correct response:
To find the value of −12 2/3 − (−8 5/6), we need to subtract the additive inverse.
The additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3 − (−8 5/6) can be rewritten as −12 2/3 + 8 5/6.
To perform the addition, we need to find a common denominator for 3 and 6, which is 6.
Converting the fractions, we have:
−12 2/3 + 8 5/6 = −12 4/6 + 8 5/6
Now, subtracting the whole numbers:
−12 + 8 = -4
Subtracting the fractions:
4/6 − 5/6 = -1/6
So, the answer is -4 - 1/6.
no
Apologies for the previous incorrect responses. Let's try again:
To find the value of −12 2/3 − (−8 5/6), we need to subtract the additive inverse.
The additive inverse of −8 5/6 is 8 5/6.
Therefore, −12 2/3 − (−8 5/6) can be rewritten as −12 2/3 + 8 5/6.
To perform the addition, we need to find a common denominator for 3 and 6, which is 6.
Converting the fractions, we have:
−12 2/3 + 8 5/6 = −12 4/6 + 8 5/6
Now, let's subtract the whole numbers:
−12 + 8 = -4
Next, subtract the fractions:
4/6 - 5/6 = -1/6
So, the correct answer is -4 - 1/6 as a mixed number.
-3.8333333 as a mixed number
To express -3.8333333 as a mixed number, we can start by finding the whole number part and the fractional part.
The whole number part of -3.8333333 is -3.
To find the fractional part, we can subtract the whole number part from the given decimal number:
-3.8333333 - (-3) = -0.8333333
Now, we need to convert this decimal into a fraction. Since the decimal has multiple decimal places, we can express it as a fraction by considering the number of decimal places.
The number -0.8333333 has 7 decimal places, so we can represent it as 8333333/10000000.
Now, we can write the mixed number using the whole number part and fractional part:
-3 - 8333333/10000000
So, -3.8333333 as a mixed number is -3 8333333/10000000.
−1223−(−856). Write the answer as a mixed number.
To subtract −1223 from −856, we need to rewrite the expression using the additive inverse.
−1223 - (−856) is equivalent to −1223 + 856.
Performing the addition:
−1223 + 856 = −367
To write the result as a mixed number, we divide the number −367 by 1 to convert it into a fraction.
−367 divided by 1 is −367/1.
Hence, the answer is −367 as a mixed number.
−12 2/3−(−8 5/6). Write the answer as a mixed number
To subtract −12 2/3 from −8 5/6, we need to rewrite the expression using the additive inverse.
−12 2/3 - (−8 5/6) is equivalent to −12 2/3 + 8 5/6.
Now, let's add the mixed numbers:
-12 + 8 = -4
To add the fractions, we need to convert them to have the same denominator. The common denominator for 3 and 6 is 6.
Converting the fractions:
2/3 = 4/6
5/6 = 5/6
Adding the fractions:
4/6 + 5/6 = 9/6 = 1 3/6 = 1 1/2
So, the answer is -4 1/2 as a mixed number.
Subtract Rational Numbers Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the image to answer the question.
A vertical number line ranges from negative 24 to negative 22 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 23 and one-half to negative 22.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−112
To find the absolute value of subtracting −22 and −1/12, we'll need to subtract them first.
−22 − (−1/12) can be rewritten as −22 + 1/12.
Now, let's find a common denominator for 12 and 1. The common denominator is 12.
Converting the fractions:
−22 = −264/12
1/12 remains the same
Adding the fractions:
−264/12 + 1/12 = −263/12
The resulting fraction is −263/12.
To find the absolute value of a rational number, we disregard the negativity and simply consider the magnitude. Therefore, the absolute value of −263/12 is 263/12.
So, the absolute value of subtracting −22 and −1/12 on the vertical number line diagram is 263/12.
A vertical number line ranges from negative 24 to negative 22 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 23 and one-half to negative 22.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−112
To find the absolute value of subtracting −22 and −1/2, we need to perform the subtraction.
−22 − (−1/2) can be rewritten as −22 + 1/2.
Now, let's add the numbers:
−22 + 1/2 can be written as −44/2 + 1/2.
Combining the fractions:
−44/2 + 1/2 = (−44 + 1)/2 = −43/2
The result of subtracting −22 and −1/2 is −43/2.
To find the absolute value, we disregard the negativity and consider the magnitude of the fraction. Therefore, the absolute value of −43/2 is 43/2.
So, the absolute value of subtracting −22 and −1/2 on the vertical number line diagram is 43/2.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−1 1/2
To find the absolute value of subtracting −22 and −1 1/2, we need to rewrite the mixed number as an improper fraction.
−1 1/2 can be written as −3/2.
Now, let's subtract the numbers:
−22 − (−3/2) can be rewritten as −22 + 3/2.
To add the numbers, we need to find a common denominator. The common denominator for 2 and 1 is 2.
Converting the fractions:
−22 = −44/2
3/2 remains the same
Adding the fractions:
−44/2 + 3/2 = −41/2
The result of subtracting −22 and −1 1/2 is −41/2.
To find the absolute value, we disregard the negativity and consider the magnitude of the fraction. Therefore, the absolute value of −41/2 is 41/2.
So, the absolute value of subtracting −22 and −1 1/2 on the vertical number line diagram is 41/2.
Jason rides his bike home from school 2 miles. On his way back home from school, he passes his house to go to his friend's house, which is a mile farther. What is the total distance Jason traveled from school?
The total distance Jason traveled from school is the sum of the distance he rode to his friend's house and the distance he rode back home.
Jason initially rides 2 miles from school.
Then, he passes his house and goes an additional mile to his friend's house.
For the return trip, he rides the same route back to his house.
So, the distance Jason traveled from school is:
2 miles + 1 mile = 3 miles.
Therefore, Jason traveled a total distance of 3 miles from school.
Subtract 12−(−8)
To subtract 12 from -8, we can reframe the expression by adding the additive inverse.
12 - (-8) is equivalent to 12 + 8.
Now, let's calculate the addition:
12 + 8 = 20.
Therefore, the result of subtracting 12 from -8 is 20.
Use the additive inverse to find −123.45−(−234.76).
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the expression −123.45−(−234.76), we can rewrite it as −123.45 + 234.76 by changing the sign of the second term.
Now, let's perform the addition:
−123.45 + 234.76 = 111.31
Therefore, the result of −123.45−(−234.76) using the additive inverse is 111.31.
Use the additive inverse to find −2445−6710.
To find the additive inverse of a number, we change the sign from positive to negative, or from negative to positive.
For the expression −2445−6710, we can rewrite it as −2445 + 6710 by changing the sign of the second term.
Now, let's perform the addition:
−2445 + 6710 = 4265
Therefore, the result of −2445−6710 using the additive inverse is 4265.
Use the additive inverse to find −24 4/5−6 7/10.
To find the additive inverse, we change the sign from positive to negative, or from negative to positive.
For the expression −24 4/5 − 6 7/10, we can rewrite it as −24 4/5 + (−6 7/10) by changing the sign of the second term.
Now, let's add the mixed numbers:
−24 + (−6) = −30
To add the fractions, we need to find a common denominator. The common denominator for 5 and 10 is 10.
Converting the fractions:
4/5 = 8/10
7/10 remains the same
Adding the fractions:
8/10 + 7/10 = 15/10 = 1 5/10 = 1 1/2
Combining the whole numbers and fractions, we have:
−30 1/2
Therefore, the result of −24 4/5 − 6 7/10 using the additive inverse is −30 1/2.
Consider 16–20.5. What is the solution? Represent the subtraction on a horizontal number line diagram.
To solve the subtraction 16 - 20.5, we can start by placing 16 on the number line.
On a horizontal number line diagram, we can mark a point corresponding to 16.
Next, we need to subtract 20.5 from 16 by moving to the left on the number line.
Since 20.5 is greater than 16, moving to the left on the number line would involve going past 0 and into negative numbers.
Therefore, the solution to 16 - 20.5 is a negative number. The specific value can be found by subtracting the absolute values of the numbers:
|16 - 20.5| = |-4.5| = 4.5.
So, the solution to 16 - 20.5 is -4.5 on the
Subtract −6−(−8)
Consider 16–20.5. What is the solution? Represent the subtraction on a horizontal number line diagram.
a
b
c
d