87/200 as a Decimal

Answer

87/200 in decimals can be written as 0.435. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 87/200 in decimal, we will use the division method. Here as 87 is smaller than 200, we will take help of the decimal method which will give us 0.435. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (87) will be taken as the dividend and the denominator (200) will be taken as the divisor.

Step 2: As 87 is smaller than 200, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 87 as 870 and add a decimal point in the quotient place.

Step 3: Now that it is 870, we can divide it by 200. Let's see how many times 200 makes 870.

Step 4: 870 is not a multiple of 200, so we will look for the nearest number that is 200 × 4 = 800. We will write 4 in the quotient place and subtract 800 from 870, which gives 70.

Step 5: Bring down another 0 in the dividend place and make 70 as 700, and then repeat the division process.

Step 6: Now divide 700 by 200, which goes 3 times (200 × 3 = 600). Write 3 in the quotient place and subtract 600 from 700, which gives 100.

Step 7: Bring down another 0 to make it 1000, and divide by 200, which goes 5 times (200 × 5 = 1000). This leaves no remainder.

The division process ends here, and the answer for 87/200 as a decimal will be 0.435.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.