Question

⑤ 41.6 ÷ 6.5 = 6.45 × 2.7 =

Explanation:

Step1: Eliminate decimal in divisor

Multiply dividend and divisor by 10:
$41.6 \times 10 = 416$, $6.5 \times 10 = 65$
Now calculate $416 \div 65$

Step2: Compute the division

$65 \times 6 = 390$, $416 - 390 = 26$
$65 \times 0.4 = 26$
So $6 + 0.4 = 6.4$

Step3: Calculate decimal multiplication

First compute $645 \times 27$:
$645 \times 20 = 12900$, $645 \times 7 = 4515$
$12900 + 4515 = 17415$

Step4: Adjust decimal places

$6.45$ has 2 decimal places, $2.7$ has 1 decimal place, total 3 decimal places.
Shift decimal point 3 places left in 17415: $17.415$

Answer:

$41.6 \div 6.5 = 6.4$
$6.45 \times 2.7 = 17.415$