Identify Numbers: Identify the numbers to be divided. We have the dividend 1.36 and the divisor 1.7. We need to find out how many times 1.7 goes into 1.36.Set Up Division: Set up the division. We will divide 1.36 by 1.7. To make the division easier, we can multiply both the dividend and the divisor by 10 to eliminate the decimal points. 1.36 * 10 = 13.6 1.7 * 10 = 17 Now we have 13.6 ÷ 17.Perform Division: Perform the division. Divide 13.6 by 17. Since 17 is larger than 13.6, the quotient will be less than 1. 13.6 ÷ 17 ≈ 0.8 (rounded to one decimal place for simplicity)Check Result: Check the result. Multiplying the quotient by the divisor should give us the dividend (approximately, due to rounding). 0.8 * 17 ≈ 13.6 Since we rounded the quotient to one decimal place, the result is close to the original dividend of 13.6.

Grade 6

Multiply and divide decimals by powers of ten

Full solution

Q. Divide.

\newline

1.36 \div 1.7 =

Identify Numbers: Identify the numbers to be divided. $\newline$ We have the dividend $1.36$ and the divisor $1.7$ . We need to find out how many times $1.7$ goes into $1.36$ .
Set Up Division: Set up the division. $\newline$ We will divide $1.36$ by $1.7$ . To make the division easier, we can multiply both the dividend and the divisor by $10$ to eliminate the decimal points. $\newline$ $1.36 \times 10 = 13.6$ $\newline$ $1.7 \times 10 = 17$ $\newline$ Now we have $13.6 \div 17$ .
Perform Division: Perform the division. $\newline$ Divide $13.6$ by $17$ . Since $17$ is larger than $13.6$ , the quotient will be less than $1$ . $\newline$ $13.6 \div 17 \approx 0.8$ (rounded to one decimal place for simplicity)
Check Result: Check the result. $\newline$ Multiplying the quotient by the divisor should give us the dividend (approximately, due to rounding). $\newline$ $0.8 \times 17 \approx 13.6$ $\newline$ Since we rounded the quotient to one decimal place, the result is close to the original dividend of $13.6$ .