Question

1. which can be used to find the product: \\(398 \times 5\\)?

a \\(400 - 2 \times 5\\)
b \\((400 \times 5) - (2 \times 5)\\)
c \\((400 \times 5) + (2 \times 5)\\)
d \\((400 \times 5) - 2\\)

1. jeans are on sale for \\(\\$26\\) for each pair. the regular price is \\(\\$35\\). how much does jin save if he buys 4 pairs?

f \\(\\$9\\)
h \\(\\$62\\)
g \\(\\$36\\)
j \\(\\$104\\)

Explanation:

Rewrite the product using subtraction

We rewrite \(398\) as a difference.

$$398 = 400 - 2$$

Thus, the product becomes:

$$398 \times 5 = (400 - 2) \times 5$$

Apply the distributive property

We distribute the multiplication over subtraction.
Using the Distributive Property:

$$(400 - 2) \times 5 = (400 \times 5) - (2 \times 5)$$

This matches option B.

Calculate savings per pair

We find the savings on one pair.
Using Integer Subtraction:

$$\$35 - \$26 = \$9$$

Calculate total savings

We multiply the savings per pair by the quantity.
Using Multi-Step Word Problems:

$$\$9 \times 4 = \$36$$

This matches option G.

Answer:

Question 19

• A \(400 - 2 \times 5\)
• B \((400 \times 5) - (2 \times 5)\) (Correct answer)
• C \((400 \times 5) + (2 \times 5)\)
• D \((400 \times 5) - 2\)

Question 20

• F \$9
• G \$36 (Correct answer)
• H \$62
• J \$104