Orchard Orders: Compare Products Without Multiplying
0 / 10Orchard 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?
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?
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.
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.