To convert 0.31 into a fraction, use the place value system, where 0.31 is represented as 31/100.
To convert this decimal into a fraction,
Express the value of each digit in terms of its place value.
The given decimal number is .31
Write down the number as the numerator of the fraction: 31
Determine the denominator of the fraction based on the number of decimal places.
In this case, we have two decimal places,
So the denominator will be 100
Then the fraction is
Simplify the fraction if possible.
In this case, the fraction 31/100 cannot be simplified further.
Hence, 0.31 as a fraction is .
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Step 2: x = 30 – 5
Step 3: x = 25
Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions will this equation have? (4 points)
Part A: Charlie's answer is incorrect. Part B: There is only 1 solution for this equation.
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Charlie solved an equation;
Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25
Part A: Charlie's answer is incorrect.
In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication so, he must divide each side by 5 to get x by itself.
Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6
Part B: There is only 1 solution for this equation.
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