4th Grade Multiplicative Comparison Worksheet Answer Key (PDF)

4th grade multiplicative comparison worksheet answers – Maths PDF

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This 4th grade multiplicative comparison worksheet answers covers multiplicative comparison (Common Core 4.OA.A.1, 4.OA.A.2), with a free PDF to print.

Key takeaway: This answer key helps fourth grade students and parents check multiplicative comparison work and understand why each equation fits the story.

Topic: Multiplicative Comparison (4th grade)
Content: Step-by-step answers to 21 worksheet problems
Standards: 4.OA.A.1, 4.OA.A.2
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students and parents check multiplicative comparison work and understand why each equation fits the story. Each solution states the comparison in words, writes the equation, and solves for the unknown, so the reasoning is easy to follow.

The key covers all 21 problems, including the sentences in problems 2 and 4, the sorting in problem 5, and the mistake analysis in problem 20. Also, multi step word problems show each comparison as its own line. Then, plan about 15 minutes to compare answers and redo any that differ. Also, check that your equation matches the story as well as the number.

Use this key to check the comparison problems. Each solution names the type of comparison, shows the equation, and gives the answer in bold. Bar models are repeated where they make the solution clearer.

Grade 4 · Common Core State Standards: 4.OA.A.1, 4.OA.A.2

4th grade multiplicative comparison worksheet answers: worksheet problems 1 to 10

1 – Times as many

Jamal = 4 times 5.

\(j = 4 \times 5 = 20\)

20 stickers

2 – Read an equation

24 is 6 times as many as 4.

Check: \(6 \times 4 = 24\).

24 is 6 times as many as 4.

3 – Write an equation

The big number is 35, the number of times is 5, and the unit is 7.

\(35 = 5 \times 7\)

4 – Two sentences

The factors 6 and 7 can each be the number of times.

42 is 6 times as many as 7. Also, 42 is 7 times as many as 6.

42 is 6 times as many as 7; 42 is 7 times as many as 6.

5 – More or times

(A) “more than” is additive. (B) “times as many” is multiplicative. (C) “twice as many” means 2 times as many, so it is multiplicative. (D) “fewer than” is additive.

A and D are additive. B and C are multiplicative.

6 – Ribbon length

\(r = 6 \times 7 = 42\)

42 inches

7 – Bar model: miles

Five bars of 3 miles.

\(d = 5 \times 3 = 15\)

15 miles

8 – Use a letter

\(p = 7 \times 8\). Since \(7 \times 8 = 56\), \(p = 56\).

56 pencils

9 – Unknown smaller amount

Four bars of 6 feet make 24 feet.

\(24 = 4 \times b\). Divide: \(b = 24 \div 4 = 6\).

Check: \(4 \times 6 = 24\).

6 feet

Worksheet problem 10 and after

10 – How many times?

\(96 = n \times 24\). Divide: \(n = 96 \div 24 = 4\).

Also, check: \(4 \times 24 = 96\).

4 times as much

Worksheet problems 11 and up

11 – Compare bars

Three bars of 6 make 18.

\(18 = n \times 6\), so \(n = 18 \div 6 = 3\). The picture shows three red-size bars in the blue bar.

12 – Baseball cards

\(63 = n \times 9\). \(n = 63 \div 9 = 7\).

Check: \(7 \times 9 = 63\).

7 times as many

13 – Both comparisons

Brother (additive): \(12 + 4 = 16\).

Cousin (multiplicative): \(4 \times 12 = 48\).

Brother 16 books; cousin 48 books

14 – Twice as many

Maya: \(2 \times 15 = 30\).

Total: \(15 + 30 = 45\).

45 apples

15 – Honey jars

Saturday: \(6 \times 8 = 48\).

In all: \(8 + 48 = 56\).

48 jars on Saturday; 56 jars in all

16 – Little League runs

Eagles: \(3 \times 7 = 21\).

How many more: \(21 – 7 = 14\).

14 more runs

17 – School store prices

\(18 = n \times 2\). \(n = 18 \div 2 = 9\).

Check: \(9 \times 2 = 18\).

9 times as much

18 – Road trip days

Tuesday: \(4 \times 45 = 180\). Wednesday: \(3 \times 45 = 135\).

Total: \(45 + 180 + 135 = 360\).

360 miles

19 – Weights

Potatoes: \(3 \times 5 = 15\) pounds.

Watermelon: \(2 \times 15 = 30\) pounds.

Potatoes 15 pounds; watermelon 30 pounds

20 – Find the mistake

“Times as many” means multiplication, but Ethan added. Also \(6 + 5 = 11\), not 30.

Correct: \(30 = 6 \times 5\).

\(30 = 6 \times 5\)

Worksheet problem 21 and after

21 – Bake sale trays

Second table: \(4 \times 9 = 36\).

Third table: \(36 – 5 = 31\).

31 trays

Key facts behind this 4th grade multiplicative comparison worksheet answers

Key facts

“A is n times as many as B” means A = n × B.
“More than” and “fewer than” are additive comparisons; “times as many” is multiplicative.
To find the bigger amount, multiply. To find the smaller amount or the number of times, divide.
Next, use a letter for the unknown, such as 28 = 4 × b.
A bar model with equal units shows the comparison clearly.

Common mistakes with this 4th grade multiplicative comparison worksheet answers

Students compare only the final number. Equations that look different can still be correct, so check that yours fits the story.
Students skip the sentence form in problems 2 and 4. Also, the key writes comparison sentences, and writing them is a main skill in this unit.
Students overlook that problem 5 has three separate labels. Each sentence is scored on its own, so check all three.
Students copy the correction for problem 20 without understanding it. Instead, say aloud why adding 6 and 5 does not describe 6 times as many.

How to use these solutions

Check each answer by reading the story with your answer in it. Finally, if it fits the words, the equation is probably right.
Write a comparison sentence for any equation you missed. Also, turning symbols back into words shows what the equation means.
Parents can ask the child to explain the difference between 4 more than and 4 times as many with a real example.

Download the 4th grade multiplicative comparison worksheet answers as a PDF with the button below and keep it with your notes.

4th grade multiplicative comparison worksheet answers: frequently asked questions

Why does the key write equations in a certain order?

The equation starts with the bigger amount equals the number of times times the smaller amount, such as 24 equals 6 times 4. This order matches the sentence 24 is 6 times as many as 4. Other orders can be correct, because multiplication can be done either way.

What is the answer to problem 14 and how is it found?

Maya picked twice as many apples as Liam, so she picked 30 apples. Together they picked 15 plus 30, which is 45 apples. The problem has two steps: first multiply, then add the amounts for both children.

What does the key mean by additive comparison?

An additive comparison tells how many more or fewer one amount is than another, and it uses addition or subtraction. A multiplicative comparison tells how many times as many, and it uses multiplication or division. The key labels each sentence so you can see the difference.

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