Table Analysis: Compare Ball Count (2,4,6) vs Court Numbers (1,2,3)

Q: What's the difference between 'times greater' and 'more than'?

'Times greater' means multiplication: 6 is 2 times greater than 3 because $ 3×2=6 $. 'More than' means addition: 6 is 3 more than 3 because 3+3=6.

Q: Why does the table show balls and courts specifically?

This is a real-world context to make the math meaningful. The relationship $ courts × 2 = balls $ means each court needs exactly 2 balls for activities!

Q: Can I say '2 times as many' instead of '2 times greater'?

Yes! Both phrases mean the same thing mathematically. '2 times as many balls as courts' and '2 times greater' both describe the same multiplicative relationship.

Multiplicative Comparison with Table Analysis

The table shows the number of balls and the number of courts at the school:

Complete:

Number of balls is _________ than the number of courts

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Complete

00:04 Notice that the pattern is to multiply by 2

00:07 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The table shows the number of balls and the number of courts at the school:

Complete:

Number of balls is _________ than the number of courts

Step-by-step solution

It is possible to see that if you multiply each number from the right column by 2, you get the number from the left column.

That is: $1\times2=2$

$2\times2=4$

$3\times2=6$

Therefore, the number of balls is 2 times greater than the number of courts.

Final Answer

2 times greater

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Compare columns to identify multiplicative relationships between values
Verification Method: Check if $1×2=2, 2×2=4, 3×2=6$ works consistently
Language Check: 'Times greater' means multiply the original amount ✓

Common Mistakes

Avoid these frequent errors

Confusing additive vs multiplicative comparisons
Don't subtract to find differences like 2-1=1, 4-2=2, 6-3=3 = additive thinking! This gives 'more than' relationships instead of 'times greater'. Always check if one column equals the other times a constant number.

Practice Quiz

Test your knowledge with interactive questions

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

FAQ

Everything you need to know about this question

What's the difference between 'times greater' and 'more than'?

'Times greater' means multiplication: 6 is 2 times greater than 3 because $3×2=6$ . 'More than' means addition: 6 is 3 more than 3 because 3+3=6.

How do I know if it's a multiplicative relationship?

Check if dividing each number in one column by the corresponding number in the other column gives the same result. Here: $2÷1=2, 4÷2=2, 6÷3=2$ - all equal 2!

What if the numbers don't have a perfect pattern?

Not all tables show multiplicative relationships! If dividing doesn't give consistent results, look for additive patterns (adding the same number) or describe the relationship differently.

Why does the table show balls and courts specifically?

This is a real-world context to make the math meaningful. The relationship $courts × 2 = balls$ means each court needs exactly 2 balls for activities!

Can I say '2 times as many' instead of '2 times greater'?

Yes! Both phrases mean the same thing mathematically. '2 times as many balls as courts' and '2 times greater' both describe the same multiplicative relationship.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Series questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime