Question

Fill in the blanks!
_: 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.**