Question
The product of -2.655 × 18.44 is _________.
- 48.96
- -48.96
- 50
- 48
Hint:
Simply convert decimals into fractions or directly multiply.
The correct answer is: -48.96
STEP BY STEP SOLUTION
![negative 2.655 space cross times space 18.44 space
C o n v e r t i n g space f r a c t i o n s space i n t o space d e c i m a l s
equals space minus 2655 over 1000 space cross times fraction numerator 1844 over denominator 100 space end fraction
equals space 4895820 over 100000
C o n v e r t i n g space f r a c t i o n space i n t o space d e c i m a l space
equals space 48.95820 space o r space 48.96](data:image/png;base64,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)
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1)Write the given decimal as a fraction by adding the number one to the denominator. The given value of the numerator and denominator is to be multiplied by multiples of 10 to remove the decimal(.) value. If 1.8, for example, is a decimal value, 18/10 will be the corresponding fraction. We cannot simply carry on with 18/10. 2)The specified decimal should first be written as a ratio (p/q), with one as the denominator.
3)The numerator and denominator are to be multiplied by multiples of 10 to convert the decimal into a whole number, multiplied for each decimal point. (Multiply by 100/100 if two numbers follow the decimal point)
4) just the outcome fraction
Related Questions to study
A square is inscribed in a circle with radius
inches. What is the perimeter of the square in inches?
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)
A square is inscribed in a circle with radius
inches. What is the perimeter of the square in inches?
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)
![3 x minus 0.6 equals 1.8](data:image/png;base64,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)
What value of x satisfies the equation above?
![3 x minus 0.6 equals 1.8](data:image/png;base64,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)
What value of x satisfies the equation above?
![5 left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis equals 0](data:image/png;base64,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)
What positive value of x satisfies the equation above?
![5 left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis equals 0](data:image/png;base64,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)
What positive value of x satisfies the equation above?
![x plus y equals 5](data:image/png;base64,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)
![2 x equals 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAANCAYAAADv5u30AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAASBJREFUeNpjYIAAayBeA8SfgPgXEF8A4miGgQf/8WAUcBCII4GYB8rXAuKjULGB9gDZQB6ILw1lD4DADyxiyUDcgUW8GSo3aDxgCU1G2MA5IBZH4icC8RQy0/J/PA4l2wMcQHwSmrmxAQ8g7oOyXYB4Lw2T0C9o4bINiIuQ8ilOIAjEG4DYjYC63UBsDy2xhGmcF1iA2BiIa4H4BhBr4FKoBHW8ChGGFkBDR4/C4vA/iUnFDVpqYgCQr2YDMRcRhsDqjb4BKmoxChdQhlwFjSpCABRLm6AeBaXHM3RIQshAB4jvogtuwZeukIAoNDMhO9gHiBfTyLHroKUhExR7QB0fRE6VzQY1UBqLRcuhhlMbhALxLSD+A8TvoKnElGE4AQB/8FH12ifLYAAAAGd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MjwvbW4+PG1pPng8L21pPjxtbz49PC9tbz48bW4+NTwvbW4+PC9tYXRoPoKuOZsAAAAASUVORK5CYII=)
If (x, y) is the solution to the given system of equations, what is the value of y ?
![x plus y equals 5](data:image/png;base64,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)
![2 x equals 5](data:image/png;base64,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)
If (x, y) is the solution to the given system of equations, what is the value of y ?
The table gives some values of x and the corresponding values of f(x) for polynomial function f. Which of the following could be the graph of f in the xy - plane, where y = f(x)?
x | f(x) |
-2 | -2 |
-1 | 3 |
0 | 2 |
1 | 7 |
2 | 30 |
The table gives some values of x and the corresponding values of f(x) for polynomial function f. Which of the following could be the graph of f in the xy - plane, where y = f(x)?
x | f(x) |
-2 | -2 |
-1 | 3 |
0 | 2 |
1 | 7 |
2 | 30 |