Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Official wording from the Common Core State Standards for Mathematics (© 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers). View on thecorestandards.org
Up to third grade, most students read 4 × 6 as "4 groups of 6." Fourth grade adds a second way to see the same equation: as a comparison between two amounts. The equation 24 = 4 × 6 can be read as "24 is 4 times as many as 6" and also as "24 is 6 times as many as 4." One quantity is being scaled up to match another, and the multiplier tells you how many copies of the smaller amount fit into the larger one.
Students are expected to move in both directions. Given an equation, they put it into words using the phrase "times as many" or "times as much." Given a sentence such as "Maria has 3 times as many stickers as Leo, who has 8," they write the matching equation, 3 × 8 = 24. Tape diagrams make the idea concrete: one bar for the smaller amount and a second bar made of several copies of the first.
This shift matters because it is the first step toward thinking of multiplication as scaling, an idea that later carries students into fractions, ratios and proportional reasoning.
Students who can only read 3 × 5 as three groups of five struggle when a problem says 15 is three times as many as 5. Practice saying both readings aloud for the same equation.
Some students write 4 + 9 for "4 times as many as 9." Contrast the two phrases with tape diagrams so they see that 4 times as many means four whole copies, not four extra.
Writing 5 = 35 × 7 for "35 is 5 times as many as 7" shows the student matched words to numbers in order. Ask which amount is the biggest and where the biggest number belongs in the equation.
A giraffe is 6 times as tall as a toddler who is 3 feet tall. Write an equation for the comparison and say it two ways.
Answer: 18 = 6 × 3. The giraffe is 18 feet tall, which is 6 times the toddler's height of 3 feet.
Use paired tape diagrams from the first lesson and keep the language precise: "times as many" for counts and "times as much" or "times as long" for measures. Ask students to write two comparison sentences for every multiplication fact they practice, which builds the reversible reading the standard asks for.
Assessment items often give a sentence and four equations to choose from, or an equation and ask which statement matches. Mixing in additive distractors (5 + 7 for "5 times as many as 7") reveals whether students truly separate the two kinds of comparison.
Original questions written for this standard. Choose an option or type your answer, then press Check. Every question has a worked explanation.
Answer: A) 42 is 6 times as many as 7
In 42 = 6 × 7, the product 42 is the larger amount. It is 6 copies of 7, so 42 is 6 times as many as 7 (and also 7 times as many as 6).
Answer: 36 (also accepted: 36 marbles)
Ana has 4 copies of Sam's 9 marbles: 4 × 9 = 36.
Answer: C) 56 = 8 × 7
The larger amount, 56, equals 8 copies of 7, which is written 56 = 8 × 7.
Answer: 6
Think 5 × ? = 30. Since 5 × 6 = 30, 30 is 6 times as many as 5.
Answer: A) 27 is 3 times as many as 9, and 27 is 9 times as many as 3
Either factor can be the multiplier. 27 is 3 copies of 9 and also 9 copies of 3.
Answer: 40 (also accepted: 40 meters, 40 m)
Five copies of 8 meters: 5 × 8 = 40 meters.
A full lesson with slides, activities and an exit ticket on multiplication as comparison, pitched to grade 4 and editable in PowerPoint or Google Slides.
Make a lesson →A printable, differentiated worksheet on 4.OA.A.1 with an answer key, ready in about a minute.
Make a worksheet →Turn multiplication as comparison into a quiz students answer online that marks itself, with a class summary for you.
Build a test →It compares two amounts by saying one is a certain number of times as large as the other, such as "20 is 4 times as many as 5." An additive comparison would instead say "20 is 15 more than 5."
Reading multiplication as scaling prepares students for multiplying by fractions in fifth grade, where 1/2 × 8 means half as much as 8, and for ratio reasoning in sixth grade.