Convert Fraction to Decimal: Solving 35/1000 Step-by-Step

Question

351000= \frac{35}{1000}=

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 351000\frac{35}{1000} into a decimal by performing division:

  • Step 1: Setup the expression for division, 351000\frac{35}{1000}.
  • Step 2: Perform the division 35÷100035 \div 1000.
  • Step 3: Understand the place of the decimal in the quotient.

Now, let's work through these steps:

Step 1: Divide 35 by 1000.

35 divided by 1000 moves the decimal three places to the left, since 1000 has three zeroes.\text{35 divided by 1000 moves the decimal three places to the left, since 1000 has three zeroes.}

Step 2: Performing 35÷100035 \div 1000:

35÷1000=0.03535 \div 1000 = 0.035

This is because dividing by 1000 positions the decimal point three places to the left of 35, resulting in 0.0350.035.

Therefore, the solution to the problem is 0.035\mathbf{0.035}.

Answer

0.035