-3 7/8 as a Decimal

Answer

-3 7/8 in decimals can be written as -3.875. This is a terminating decimal, which means it ends and does not repeat infinitely.

Explanation

To convert -3 7/8 into decimal, we first convert the fraction 7/8 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator (7) and the denominator (8). The numerator will be taken as the dividend, and the denominator will be taken as the divisor.

Step 2: Divide 7 by 8 using long division. Since 7 is less than 8, we add a decimal point and a zero to make it 70.

Step 3: 8 goes into 70 eight times because 8×8=64. Write 8 in the quotient place.

Step 4: Subtract 64 from 70 to get 6. Bring down another 0 to make it 60.

Step 5: 8 goes into 60 seven times because 8×7=56. Write 7 in the quotient place.

Step 6: Subtract 56 from 60 to get 4. Bring down another 0 to make it 40.

Step 7: 8 goes into 40 five times because 8×5=40. Write 5 in the quotient place. There is no remainder. Therefore, 7/8 as a decimal is 0.875.

Finally, combine it with the whole number -3 to get -3.875.

• Mixed Number: A number consisting of an integer and a proper fraction.

• Fraction: A numerical quantity that represents a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Terminating Decimal: A decimal number that ends and does not repeat infinitely.

• Long Division: A method used to divide two numbers, providing the quotient and remainder.