Fleming O'Quinn
09/11/2023 · Middle School

What's 1,000 x 1,000?

Real Tutor Solution

Tutor-Verified Answer

Quick Answer

1,000,000.

Step-by-step Solution

Step 1: 
Multiply the numbers directly: 
\[1,000 \times 1,000 = 1,000,000\]

 

Step 2: 
Therefore, 1,000 times 1,000 equals 1,000,000.

 

Supplemental Knowledge:

Multiplication is one of the fundamental operations in arithmetic, and understanding how to multiply large numbers is a key skill. Here are some important points about multiplication:

1. Basic Concept: 
- Multiplication is essentially repeated addition. 

- For example, \(4 \times 3\) means adding 4 three times (4 + 4 + 4).

2. Properties of Multiplication: 
- Commutative Property: The order of the numbers does not affect the product (e.g., \(a \times b = b \times a\)). 
- Associative Property: The way numbers are grouped does not affect the product (e.g., \(( a \times b) \times c = a \times ( b \times c) \)). 
- Distributive Property: Multiplying a number by a sum is the same as multiplying each addend individually and then adding the products (e.g., \(a \times ( b + c) = ( a \times b) + ( a \times c) \)).

3. Multiplying Large Numbers: 
- When multiplying large numbers, it’s often useful to break them down into smaller parts or use techniques like long multiplication.

 

Real-World Applications:

Understanding multiplication can be very useful in everyday life:

- Budgeting and Finance: If you need to calculate large quantities or costs, such as determining the total cost of multiple items priced at 1,000 dollars each. 
- Area Calculation: If you’re calculating the area of a square with sides of 1,000 units each, you’d multiply 1,000 by 1,000.

 

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