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Orchard Orders: Compare Products Without Multiplying worksheet preview

Worksheet

Orchard Orders: Compare Products Without Multiplying

Grade 5 orchard practice: tell how a product compares to one factor by looking at the other factor, without multiplying.

Grade 5MathInteractive · Printable

Aligned to5.NF.B.5.a

What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 10 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 5
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students tell how many times as large a product is than one factor without multiplying.
  • Students compare products that share a factor by comparing the other factors.
  • Students explain why a product is greater than, less than, or equal to one of its factors.

How to use

Use when introducing multiplication as scaling. Ask students not to multiply, and have them explain each answer by looking at the size of the other factor.

Curriculum

Common Core standard covered

5.NF.B.5.a

Compare the size of a product to the size of one factor without multiplying.

Preview

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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?
  • A. 2,316 + 4
  • B. 2,316 ÷ 4
  • C. 4 × 2,316
  • D. 40 × 2,316
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?
  • A. 64 × 1, 1/2 × 64, 64 × 5, 64 × 12
  • B. 64 × 12, 64 × 5, 64 × 1, 1/2 × 64
  • C. 1/2 × 64, 64 × 5, 64 × 1, 64 × 12
  • D. 1/2 × 64, 64 × 1, 64 × 5, 64 × 12
7.
Each row of trees gives 350 apples. Circle every expression that is greater than 6 × 350.

7 × 350350 × 5350 × 9350 × 62 × 350350 × 10

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.
  • A. 25,400
  • B. 3,183
  • C. 397
  • D. 2,540

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.
Word bank: greater than · less than · equal to

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.

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