DOUBLE

Double

Definition Of Double

When a number is multiplied by 2, we say that it is doubled.

Examples of Double

John has 4 candies. `Tom has double the candies as many as John has` implies that Tom has 2 × 4 = 8 candies.

Video Examples: Mulberger: Using Doubles Facts in Math

Solved Example on Double

Ques: Given that y = 12x. Then, what will happen to the value of y if x is doubled?

Choices:

A. y will be doubled
B. y will be multiplied by 4
C. y will increase by 2
D. y will decrease by 2
Correct Answer: A

Solution:

Step 1: y = 12x
Step 2: y = 12(2x) [x is doubled.]
Step 3: = 24x = double the original value of y [24x = 2(12x) = 2y.]
Step 4: So, when x is doubled, y is also doubled.

Quick Summary

Doubling is the same as multiplying by 2.
If you double a number, you are adding it to itself.

\[ 2 \times x = 2x \]

🍎 Teacher Insights

Use real-world examples like candies or toys to illustrate the concept of doubling. Hands-on activities like using counters can help students visualize the process.

🎓 Prerequisites

Basic Multiplication
Concept of Multiplication by 2

Check Your Knowledge

Q1: What is double of 5?

A. 7 B. 10 C. 25 D. 15

Q2: If John has 3 apples and Tom has double that amount, how many apples does Tom have?

A. 4 B. 5 C. 6 D. 9

Frequently Asked Questions

Q: What does it mean to 'double' something?
A: To double something means to multiply it by 2 or add it to itself.

Q: Is doubling the same as squaring?
A: No, doubling means multiplying by 2, while squaring means multiplying a number by itself.