Choose the correct answer for identifying rational , irrational numbers (use reference above)
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1 point
Captionless Image
2, 3 and 4 are irrational, AND 5 and 6 are rational
2,3,& 4 are irrational AND 4,6 are rational
2 &6 are irrational, 3,4 & 5 are rational
3,5 are irrational , 2,4 & 6 are rational
The correct answer is:
2, 3 & 4 are irrational, AND 5 & 6 are rational.
2. What is the square root for 100?
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1 point
5
10
25
50
The correct answer is:
10
4. Decimal Expansion choose the correct answer for the number 945 in expanded form .
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1 point
9 + 4 + 5
900 + 40 + 5
Nine hundrend and forty five
(9 x 100) + ( 4 x 10) + (1 x 5)
The correct answer is:
900 + 40 + 5
Write the decimal below as a fraction remember; the following formula for all repeating numbers, choose answer in simplest form
(DN x F) - NRP
D
DN - decimal number
F = 10 if 1 repeating number
100 if 2 repeating numbers
1000 if 3 repeating numbers etc...
D = 9 if 1 repeating number
99 if 2 repeating numbers
999 if 3 repeating numbers etc...
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1 point
Captionless Image
91/1000
91/99
41/45
-65/90
Without the specific decimal number mentioned, it is not possible to determine the correct answer. Please provide the specific decimal number.
Write the decimal below as a fraction remember; the following formula for all repeating numbers, choose answer in simplest form
(DN x F) - NRP
D
DN - decimal number
F = 10 if 1 repeating number
100 if 2 repeating numbers
1000 if 3 repeating numbers etc...
D = 9 if 1 repeating number
99 if 2 repeating numbers
999 if 3 repeating numbers etc...
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1 point
0.bar(91)
91/1000
91/99
41/45
-65/90
To write the decimal 0.bar(91) as a fraction, we can use the formula:
(DN x F) - NRP
D
In this case, DN = 91, F = 100, and D = 99.
Substituting these values into the formula, we get:
(91 x 100) - 91
-----------------
99
Simplifying this expression, we have:
9100 - 91
-----------
99
9019
-----
99
Therefore, the correct answer is:
91/99
6. Use the formula above to find the fraction for the repeating decimal below in simplest form.
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1 point
0.4
4/100
4/10
4/9
44/99
To find the fraction for the repeating decimal 0.4 using the formula, we first need to determine the values of DN, F, and D.
In this case, DN = 4, F = 10 (since there is 1 repeating number), and D = 9 (since there is 1 repeating number).
Substituting these values into the formula, we get:
(4 x 10) - 4
-------------
9
Simplifying this expression, we have:
40 - 4
-------
9
36
---
9
Therefore, the correct answer is:
4/9
graph the numbers on the number line 6.09, 35/7 \sqrt(80),(9)/(2),\sqrt(16)
To graph the numbers on the number line, we need to plot their respective positions based on their values.
1. 6.09: Locate the point 6.09 on the number line.
2. 35/7: Divide 35 by 7 to get the value 5. Plot the point 5 on the number line.
3. √80: Simplify √80 to get √(16 * 5) = 4√5. Locate the point 4√5 on the number line.
4. 9/2: Divide 9 by 2 to get the value 4.5. Plot the point 4.5 on the number line.
5. √16: Simplify √16 to get the value 4. Plot the point 4 on the number line.
Here is how the numbers would be graphed on the number line:
- - - - 4 - 4.5 - - - - 5 - - - 6.09 - - - - 4√5
answer without dividing
To graph the numbers on the number line without dividing:
1. 6.09: Locate the point 6.09 on the number line.
2. 35/7: Simplify 35/7 to get the value 5. Plot the point 5 on the number line.
3. √80: Approximate √80 to get the value ≈ 8.944. Plot the point 8.944 on the number line.
4. 9/2: Simplify 9/2 to get the value 4.5. Plot the point 4.5 on the number line.
5. √16: Simplify √16 to get the value 4. Plot the point 4 on the number line.
Here is how the numbers would be graphed on the number line:
- - - - 4 - 4.5 - - - - 5 - - - 6.09 - - - - 8.944
graph the numbers on the number line 6.09, 35/7 \sqrt(80),(9)/(2),\sqrt(16)
. Choose the answer that best fits, the problem, Make sure to convert them into the same thing ( example: convert them all into decimals or fractions)
To accurately graph the numbers on the number line, let's convert them all into decimal form:
1. 6.09: This number is already in decimal form.
2. 35/7: Divide 35 by 7 to get the decimal form of the fraction. 35 ÷ 7 = 5.
3. √80: Simplify the square root of 80 to get √(16 * 5) = 4√5. Approximate the square root of 5 to get ≈ 2.236. Multiply 4 by 2.236 to get ≈ 8.944.
4. (9)/(2): This fraction is already in decimal form.
5. √16: Simplify the square root of 16 to get 4.
Converting the numbers into decimal form, we have:
1. 6.09
2. 5
3. ≈ 8.944
4. 4.5
5. 4
Now, let's graph these numbers on the number line:
- - - 4 - 4.5 - - - 5 - - - 6.09 - - 8.944
8. Which answer is the correct approximate answer for the square root below ? ( draw a number line and think about the perfect squares you know divide59 between 3 and 4
between 5 and 6
between 7 and 8
between 9 and 10
To approximate the square root of 59 and determine the range it falls between on a number line, let's consider the perfect squares between each pair of numbers.
Between 3 and 4, the perfect squares are 4 and 9.
Between 5 and 6, the perfect squares are 4 and 9.
Between 7 and 8, the perfect squares are 9 and 16.
Between 9 and 10, the perfect squares are 9 and 16.
Since 59 is greater than 49 (7^2) and less than 64 (8^2), the square root of 59 falls between 7 and 8 on the number line.
Therefore, the correct answer is:
Between 7 and 8
lassify the numbers by writing them in the appropriate section of the Venn Diagram.
-(10)/(2),\sqrt(36),(0)/(8),7,\sqrt(140),(4)/(9),\sqrt(4),-8,\sqrt(8),-2.89
To classify the given numbers by writing them in the appropriate section of the Venn Diagram, we need to determine if each number is a whole number, a rational number, an irrational number, or a decimal.
Let's go through each number one by one:
1. -(10)/(2): This is a decimal number that can be simplified to -5. It is also a rational number.
2. √36: The square root of 36 is 6. It is a whole number and a rational number.
3. (0)/(8): This is a decimal number that can be simplified to 0. It is also a rational number.
4. 7: This is a whole number and a rational number.
5. √140: The square root of 140 is a decimal number approximately equal to 11.83. It is also an irrational number.
6. (4)/(9): This is a fraction that cannot be simplified further. It is a rational number.
7. √4: The square root of 4 is 2. It is a whole number and a rational number.
8. -8: This is a whole number and a rational number.
9. √8: The square root of 8 is a decimal number approximately equal to 2.83. It is also an irrational number.
10. -2.89: This is a decimal number that is not a whole number. It is a rational number.
Based on these classifications, we can place the numbers in the appropriate sections of the Venn Diagram:
Irrational Numbers: √140, √8
Rational Numbers: -(10)/(2), √36, (0)/(8), 7, (4)/(9), √4, -8, -2.89
Please note that whole numbers are included in the category of rational numbers.