The exact answer to multiplying 800 by 7 is 5600.
Understanding Multiplication as Repeated Addition
Multiplication is a fundamental arithmetic operation that can be thought of as a shortcut for repeated addition. When you multiply 800 by 7, you are essentially adding the number 800 to itself seven times.
To illustrate:
- 800 × 7 is equivalent to:
800 + 800 + 800 + 800 + 800 + 800 + 800 = 5600
A Simpler Approach for Numbers with Zeros
Multiplying numbers that end in zeros, like 800, can be simplified by following a quick trick:
- Isolate the non-zero digits: In the number 800, temporarily ignore the two zeros, leaving you with just 8.
- Multiply the non-zero digits: Multiply 8 by 7:
8 × 7 = 56
. - Append the ignored zeros: Since you initially ignored two zeros from 800, add those two zeros back to the product you just calculated (56).
- The final result is 5600.
This method simplifies the mental calculation and is efficient for larger numbers ending in zeros.
The 800 Times Table in Context
Understanding where 800 × 7 fits within the larger multiplication table of 800 can provide further clarity. Here's a glimpse of some entries from the 800 times table, showcasing multiplication as repeated addition:
Multiplication | Repeated Addition | Result |
---|---|---|
800 × 6 | 800 + 800 + 800 + 800 + 800 + 800 | 4800 |
800 × 7 | 800 + 800 + 800 + 800 + 800 + 800 + 800 | 5600 |
800 × 8 | 800 + 800 + 800 + 800 + 800 + 800 + 800 + 800 | 6400 |
For a comprehensive view of the 800 times table, you can explore resources like the Multiplication Table of 800.