Multiply −1.7
by 212
. Write the answer as a mixed number in simplest form.
-1.7 multiplied by 212 is -360.4.
In mixed number form, this is -360 and 2/5.
To multiply -1.7 by 212, first, ignore the negative sign and multiply 1.7 by 212.
1.7 multiplied by 212 is 361.4.
Next, we need to deal with the negative sign. Since we multiplied a positive number by a negative number, the product will be negative.
Therefore, the answer is -361.4, which cannot be written as a mixed number.
To multiply -1.7 by 212, you need to follow these steps:
Step 1: Multiply the absolute values of the numbers:
|-1.7| * |212| = 1.7 * 212 = 361.4
Step 2: Determine the sign of the answer:
Since one of the numbers is negative, the answer will be negative.
Step 3: Convert the decimal to a mixed number:
To convert the decimal 361.4 to a mixed number, we separate the whole number part and the fractional part.
Whole number part: The whole number part of 361.4 is 361.
Fractional part: The fractional part is 0.4. To convert it to a fraction, we divide it by 1 and write it as a fraction with the denominator being a power of 10.
0.4 / 1 = 4/10 = 2/5
Step 4: Write the answer as a mixed number in simplest form:
Putting all the parts together, the answer is -361 2/5 in mixed number simplest form.