Question

u5, l10: dividing decimals by decimals: algorithm
exit ticket: the quotient of two decimals

1. write a division expression that has the same value as ( 36.8 div 2.3 )

1. find the value of ( 36.8 div 2.3 ). show your reasoning.

Explanation:

Step1: Rewrite division (same value)

Multiply dividend and divisor by 10: $368 \div 23$

Step2: Set up long division

Divide $368$ by $23$:
$23 \times 16 = 368$, so $368 \div 23 = 16$

Step3: Verify original expression

$36.8 \div 2.3 = \frac{36.8}{2.3} = \frac{36.8 \times 10}{2.3 \times 10} = \frac{368}{23} = 16$

Answer:

1. $368 \div 23$ (other equivalent expressions like $3680 \div 230$ are also valid)
2. $16$