Math  /  Numbers & Operations

Question3 \longdiv { 0 . 0 3 6 }

Studdy Solution

STEP 1

1. We are performing a division of a decimal number 0.0360.036 by an integer 33.
2. The goal is to find the quotient of this division.

STEP 2

1. Set up the division problem.
2. Simplify the division by eliminating the decimal.
3. Perform the division.
4. Write the final answer.

STEP 3

Set up the division problem by writing 33 as the divisor and 0.0360.036 as the dividend.

STEP 4

To simplify the division, eliminate the decimal by multiplying both the dividend and divisor by 10001000 to make the dividend a whole number.
3 \longdiv { 0.036 } \rightarrow 3 \longdiv { 36 }

STEP 5

Perform the division of 3636 by 33.
36÷3=1236 \div 3 = 12

STEP 6

Since we multiplied the original dividend by 10001000 to eliminate the decimal, we need to adjust the quotient by dividing by 10001000.
121000=0.012 \frac{12}{1000} = 0.012
The quotient of 3 \longdiv { 0.036 } is:
0.012\boxed{0.012}

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