Question

week 7: day 5
3 multiply
1,305
× 6

Explanation:

Step1: Multiply the units digit

Multiply 5 (units digit of 1305) by 6: \(5\times6 = 30\). Write down 0 and carry over 3.

Step2: Multiply the tens digit

Multiply 0 (tens digit of 1305) by 6: \(0\times6 = 0\). Add the carried over 3: \(0 + 3 = 3\). Write down 3.

Step3: Multiply the hundreds digit

Multiply 3 (hundreds digit of 1305) by 6: \(3\times6 = 18\). Write down 8 and carry over 1.

Step4: Multiply the thousands digit

Multiply 1 (thousands digit of 1305) by 6: \(1\times6 = 6\). Add the carried over 1: \(6 + 1 = 7\). Write down 7.

Step5: Combine the results

Combining the digits we wrote down (from right to left: 0, 3, 8, 7), we get 7830.

Alternatively, we can use the distributive property: \(1305\times6=(1000 + 300+0 + 5)\times6=1000\times6+300\times6 + 0\times6+5\times6=6000+1800 + 0+30 = 7830\).

Answer:

7830