Fill in the blanks!

Question

_: 27 x 14
Put 1 in the _ place and 4 in the ones place.
Multiply through by 4.
Multiply through by 1.
Now we can _.
We can see that the product of 27 and 14 is _.

Answer 1

Let's fill in the blanks step by step:

1. _: 27 x 14
   We can write the equation as 1: 27 x 14 (putting 1 in the _ place).

2. Put 1 in the _ place and 4 in the ones place.
   This can represent writing the number 14 as 10 + 4 (1 in the tens place and 4 in the ones place).

3. Multiply through by 4.
   We multiply 27 by 4:
   \( 27 x 4 = 108 \).

4. Multiply through by 1.
   Multiplying by 1 does not change the value of 27:
   \( 27 x 1 = 27 \).

5. Now we can _
   Now we can add (the products we obtained from the multiplication).

6. We can see that the product of 27 and 14 is _.
   Adding the two products gives:
   \( 108 (from , 27 \times 4) + 270 (from , 27 \times 10) = 378 \).
   Therefore, the final answer is 378.

So, the filled in statement is:
1: 27 x 14
Put 1 in the _ place and 4 in the ones place.
Multiply through by 4.
Multiply through by 1.
Now we can add.
We can see that the product of 27 and 14 is 378.