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Convert the fraction below into a decimal
start fraction, 39, divided by, 50, end fraction
50
39
Edit the repeating and non-repeating part of the decimal:
The decimal equivalent of the fraction 39/50 is 0.78.
In this decimal, 7 is the non-repeating part and 8 is the repeating part.
Joseph is making bows. Each bow is made from a piece of ribbon that is start fraction, 5, divided by, 8, end fraction
8
5
yards long. How much ribbon would he need to make 11 bows?
To solve, we'll need to , because we know the SIZE of the groups and the , but we don't know the .
To find out how much ribbon Joseph would need to make 11 bows, we can use the given fraction: 5/8 yards of ribbon per bow.
To find the total amount of ribbon needed, we can multiply the fraction by the number of bows:
(5/8) * 11 = (5 * 11) / 8 = 55/8 yards of ribbon.
So, Joseph would need 55/8 yards of ribbon to make 11 bows.
Simplify to a single power of 4:
start fraction, 4, to the power 8 , divided by, 4, to the power 5 , end fraction
4
5
4
8
To simplify the expression (4^8)/(4^5), we can use the rule of exponentiation that states if we divide two numbers with the same base, we subtract the exponents.
So, (4^8)/(4^5) becomes 4^(8-5) which is equal to 4^3.
Therefore, the simplified expression is 4^3.
Determine if 0, point, 0, 5, 4, 2, 2, 7, 4, 0, 6, 1, 1, 0, 1, 7, 7, point, point, .0.054227406110177... is rational or irrational and give a reason for your answer.
To determine if the number 0.054227406110177... is rational or irrational, we need to analyze its decimal representation.
A rational number can be written as the ratio of two integers, p/q, where q is not equal to 0. Rational numbers have decimal representations that either terminate or repeat in a pattern.
In the given decimal representation, we can see that it does not terminate or repeat in a pattern. The digit sequence "054227406110177" goes on indefinitely without a repeating pattern or stopping. Therefore, we can conclude that the number is irrational.
Note: To provide a more accurate analysis, more decimal places of the number would need to be provided. However, based on the given decimal representation, we can determine that it is irrational.