Comparing Quantities: "Times as Large"
Comparing quantities using times as large is a Grade 6 multiplicative comparison concept in Illustrative Mathematics Unit 4 Dividing Fractions. To find how many times as large one quantity is compared to another, divide the quantity being compared by the reference quantity. For example, a 7-meter rope compared to a 2-meter ribbon is 3.5 times as long, calculated as 7 divided by 2.
Key Concepts
To find how many times as large one quantity is compared to another, you use division. This involves comparing a specific quantity to a reference quantity .
$$\text{Times as large} = \frac{\text{Quantity being compared}}{\text{Reference quantity}}$$.
Common Questions
What does times as large mean in Grade 6 math?
Times as large means how many times one quantity fits into another. You calculate it by dividing the quantity being compared by the reference quantity. For example, 10 is 2.5 times as large as 4 because 10 divided by 4 equals 2.5.
How do you find how many times as large one number is than another?
Use division: divide the quantity being compared by the reference quantity. The result is a ratio that describes the multiplicative relationship between the two amounts.
What is the difference between times as large and more than?
Times as large is a multiplicative comparison using division, while more than is an additive comparison using subtraction. If A is 3 times as large as B, then A equals 3 multiplied by B.
Which textbook covers times as large comparisons?
Illustrative Mathematics Grade 6, Unit 4: Dividing Fractions covers multiplicative comparisons including the times as large concept.