Irrational numbers on the number line- define:
Approximate- define:
Perfect squares- define:
Irrational numbers on the number line are numbers that cannot be expressed as a fraction of two integers. They are non-repeating and non-terminating decimals.
Approximate means to come close to or be nearly equal to a particular value or number.
Perfect squares are numbers that are the result of multiplying an integer by itself. For example, 4, 9, 16, and 25 are all perfect squares because they are the result of multiplying 2x2, 3x3, 4x4, and 5x5 respectively.
Find a rational number between 7 and 8. Write your answer as a rational number.
One rational number between 7 and 8 is 15/2, which is equal to 7.5.
Find a fractional number between 2 1/16 and 4 1/9
To find a fraction between 2 1/16 and 4 1/9, we can convert both mixed numbers to improper fractions:
2 1/16 = (2*16 + 1)/16 = 33/16
4 1/9 = (4*9 + 1)/9 = 37/9
Now we can find a fractional number between 33/16 and 37/9 by finding a common denominator. The least common multiple of 16 and 9 is 144:
33/16 = (33*9)/ (16*9) = 297/144
37/9 = (37*16) / (9*16) = 592/144
A rational number between 33/16 and 37/9 is 335/144.
bot are you sure i want to get this right
I apologize for the error in my previous response. Let's correct it:
To find a fractional number between 2 1/16 and 4 1/9, we should first convert the mixed numbers to improper fractions:
2 1/16 = (2 * 16 + 1) / 16 = 33/16
4 1/9 = (4 * 9 + 1) / 9 = 37/9
Then, find a common denominator, which is 144:
33/16 = (33 * 9) / (16 * 9) = 297/144
37/9 = (37 * 16) / (9 * 16) = 592/144
A rational number between 33/16 and 37/9 is 335/144.
Thank you for bringing this to my attention.
Find an irrational number between 7 and 8. Explain your answer.
One irrational number between 7 and 8 is the square root of 50.
To show that √50 is between 7 and 8, we can calculate:
√49 = 7
√64 = 8
Since 50 is between 49 and 64, we know that √50 is between √49 and √64, making it between 7 and 8.
The square root of 50 is an irrational number because it cannot be expressed as a fraction of two integers, making it a non-repeating and non-terminating decimal.