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How can you multiply 800 by 7?

Published in Multiplication 1 min read

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:

  1. Isolate the non-zero digits: In the number 800, temporarily ignore the two zeros, leaving you with just 8.
  2. Multiply the non-zero digits: Multiply 8 by 7: 8 × 7 = 56.
  3. Append the ignored zeros: Since you initially ignored two zeros from 800, add those two zeros back to the product you just calculated (56).
  4. 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.