Multiply −1.7 by 212. Write the answer as a mixed number in simplest form.(1 point)
Responses
−174
negative Start Fraction 17 over 4 End Fraction
−414
negative 4 Start Fraction 1 over 4 End Fraction
−4520
negative 4 Start Fraction 5 over 20 End Fraction
−234100
The correct answer is negative Start Fraction 17 over 4 End Fraction.
To multiply -1.7 by 212, we can follow these steps:
Step 1: Multiply 1.7 by 212.
-1.7 x 212 = -360.4
Step 2: Convert the decimal answer to a mixed number in simplest form.
The mixed number equivalent for -360.4 is -360 and 4/10, which can be simplified to -360 and 2/5.
Therefore, the answer is negative 360 and 2/5.
To multiply -1.7 by 212, first you need to multiply the absolute values of the two numbers: 1.7 times 212.
To multiply a decimal by a whole number, ignore the decimal point at first and multiply the numbers as if they were whole numbers. So, multiply 17 by 212: 17 times 212 = 3,604.
Next, consider the decimal places in the original question. There is one decimal place in -1.7. So, put the decimal point in the product, 3,604, one place from the right, giving you 360.4.
Since the original question asks for the answer written as a mixed number in simplest form, you need to express 360.4 as a mixed number. The whole number part is 360, which is the whole number part of the product. The fractional part is 0.4.
To convert the fraction part of 0.4 to a mixed number, note that 0.4 is equivalent to 4/10. Since both the numerator and denominator can be divided by 2, you can simplify the fraction to 2/5.
Putting it all together, the final answer as a mixed number in simplest form is -360 and 2/5 or -360 2/5.