Question

Which gives the correct order of steps needed to multiply the problem below?

83 times 39 = blank
Multiply the ones. 8 times 39 is 312. Multiply the tens. 30 times 39 is 1,170. Add the products to get 1,482.
Multiply the ones. 3 times 39 is 117. Multiply the tens. 30 times 83 is 2,490. Add the products to get 2,607.
Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.
Multiply the ones. 3 times 83 is 249. Multiply the tens. 90 times 83 is 7,470. Add the products to get 7,719.

Answer 1

To multiply 83 by 39, let's break down the multiplication correctly:

1. **Split the numbers into their place values**:
- 83 = 80 + 3
- 39 = 30 + 9

2. **Use the distributive property**:
You can multiply as follows:
- First, multiply the tens from each number:
- \(80 \times 30 = 2,400\)
- Then, multiply the tens by the ones:
- \(80 \times 9 = 720\)
- Next, multiply the ones by the tens:
- \(3 \times 30 = 90\)
- Finally, multiply the ones:
- \(3 \times 9 = 27\)

3. **Add all the products together**:
1. \(2,400 + 720 + 90 + 27 = 3,237\)

Now, let's compare the options you provided:

- The multiplication steps regarding the ones and tens are crucial, and the only option that follows the correct breakdown of the product is:

**Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.**

Thus, the correct order of steps for multiplying 83 and 39 is reflected in that last option.