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Orchard Orders: Compare Products Without Multiplying

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Orchard Orders: Compare Products Without Multiplying

Use the size of one factor to tell how big a product is.

Times as many

Do not multiply. Think about the size of the other factor.

1.
A farm wagon holds 465 pumpkins. The farm fills 7 wagons, so it has 7 × 465 pumpkins.

7 × 465 is times as many as 465.

2.
The orchard ships 2,316 apples on Monday. On Tuesday it ships 4 times as many apples. Which expression shows how many apples it ships on Tuesday?
Question 2 options
3.
Lucy fills 8 baskets with 52 apples each. Marco fills 2 baskets with 52 apples each.

Lucy has times as many apples as Marco.

4.
The orchard store knows that 36 × 25 = 900. Use this fact to find each product. Do not multiply from the start.

36 × 50 =
36 × 75 =

Compare without multiplying

Look at the factors. Decide which product is greater without finding it.

5.
Write >, <, or = in each blank.

a) 6 × 2,048 9 × 2,048
b) 2,048 × 5 2,048 × 3
c) 4 × 2,048 2,048 × 4
d) 1/2 × 2,048 2,048

6.
A carton holds 64 juice boxes. The orchard cafe gets these orders: 64 × 5, 64 × 1, 64 × 12, and 1/2 × 64. Which list shows the orders from least to greatest?
Question 6 options
7.
Each row of trees gives 350 apples. Circle every expression that is greater than 6 × 350.

8.
Ivy finds 8 × 3,175 to count the apples in 8 bins. Which answer could be correct? Use the size of the factors to decide.
Question 8 options

Explain the size

Use what you know about factors to explain each product.

9.
Use the word bank to finish each sentence. You can use a word more than once.

a) 9 × 1,060 is 1,060 because 9 is 1.
b) 1,060 × 1 is 1,060 because the other factor is 1.
c) 2/5 × 1,060 is 1,060 because 2/5 is 1.

10.
Kai says 6 × 1,409 = 845. Without multiplying, explain how you know Kai's answer is wrong.