Skip to content

Interpret Multiplication as a Comparison

Students learn to read a multiplication equation such as 35 = 5 × 7 and understand it as a statement that 35 is 5 times as many as 7, or 7 times as many as 5. They connect the language of 'times as many' to the structure of multiplication equations.

Try three of them

Real questions from this skill, graded here. No account, and nothing is saved.

Interpret Multiplication as a Comparison

Grade 4 · Multiplicative Comparisons · question 1 of 3

0 of 20

20 rungs. A star at the top.

A lake has 35 ducks. A pond has 7 ducks. Which equation says the lake is a scaled copy of the pond?

How it is taught

0:00 of 4:18

Times as many means multiply, not add.

The product is that many times the reference amount.

Read it: Times as many is equal boxes

What is 5 times as many as 6? Draw 6 as one box, then 5 boxes of 6 in a row: 5 × 6 = 30.

  1. Draw the smaller amount as one box.
  2. Draw the larger amount as that many boxes, each the same size.
  3. Multiply to find the larger amount, or divide to find a box or the number of boxes.

Times as many compares by multiplying: every box is the same size as the smaller amount.

The equation says the same thing: 30 = 5 × 6 means 30 is 5 times as many as 6.

Knowing the larger amount and the boxes, divide: 30 ÷ 5 = 6.

k times as many as a number is k boxes of that number: multiply.

Adding: 5 times as many as 6 is not 6 + 5 = 11.

Times as many means 5 boxes of 6, not 5 more. 5 × 6 = 30.

63 is how many times as many as 9? — 7. 63 ÷ 9 = 7, so 63 = 7 × 9.

12 = 3 × 4

Anna has four marbles. Ben has three times as many marbles as Anna. How many marbles does Ben have?

Here are Anna's four marbles.

Ben has three times as many. That's one group of four...

...two groups of four...

...and three groups of four.

Three groups of four equals twelve. So Ben has twelve marbles.

We can write this as twelve equals three times four.

This equation tells us twelve is three times as many as four.

Ben has 3 times as many as AnnaAnna has 4 marbles. How many does Ben have?Anna● ● ● ●Ben● ● ● ●● ● ● ●● ● ● ●12 total12=3×412 is 3 times as many as 4ANSWER12marbles
Grade 4 · 12 is 3 times as many as 4

When we see times as many, we multiply. Ben has twelve marbles!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

More of the library

Practise this skill free

14 days of every skill, practice packets, Fluency sheets and up to four students. No card.

Start free