Math / Numbers & Operations

QuestionDivide. Give the exact $3.45 \div 3 =$

Studdy Solution

STEP 1

1. We are dividing a decimal number, $3.45$ , by a whole number, $3$ .
2. The division should result in an exact decimal value.

STEP 2

1. Set up the division problem.
2. Perform the division.
3. Verify the result.

STEP 3

Set up the division problem as a long division where $3.45$ is the dividend and $3$ is the divisor.

STEP 4

Perform the division by dividing $3.45$ by $3$ .
- Divide the whole number part: $3 \div 3 = 1$ . - Subtract $3 \times 1 = 3$ from $3$ , leaving $0$ . - Bring down the next digit, which is $4$ , making it $4$ . - Divide $4 \div 3 = 1$ . - Subtract $3 \times 1 = 3$ from $4$ , leaving $1$ . - Bring down the next digit, which is $5$ , making it $15$ . - Divide $15 \div 3 = 5$ . - Subtract $3 \times 5 = 15$ from $15$ , leaving $0$ .

STEP 5

Verify the result by multiplying the quotient by the divisor to check if it equals the dividend.
- Multiply the quotient $1.15$ by the divisor $3$ : $ 1.15 \times 3 = 3.45 \]
Since the multiplication gives back the original dividend, the division is verified.
The exact result of the division is:
$\boxed{1.15}$

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