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N.9 Multiply 8 by numbers up to 12

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What are multiplication facts for 8?

Multiplication facts for 8 are the set of answers you get when you multiply 8 by each whole number from 1 through 12. Memorizing these facts helps you solve problems quickly and accurately.

Examples:
  • 8 × 1 = 8
  • 8 × 2 = 16
  • 8 × 3 = 24
Note

Think of "8 times" as equal groups. For example, 8 × 4 means four groups of 8 items.

How to find the product of 8 and any number up to 12

The product is the answer to a multiplication problem. To find the product of 8 and another number, you can use repeated addition, skip counting, or a known fact pattern.

Steps using repeated addition:
  • For 8 × 5, think: 8 + 8 + 8 + 8 + 8
  • Add: 8 + 8 = 16, 16 + 8 = 24, 24 + 8 = 32, 32 + 8 = 40
  • So, 8 × 5 = 40
Note

Skip counting by 8s is a fast way to find the products. Try it: 8, 16, 24, 32, 40, and so on.

The pattern in the 8s facts

Looking for a pattern can help you remember the facts. The products for 8 follow a specific pattern in the ones place when you list them in order.

Pattern in the ones digits:
  • 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
  • Look at the last digits: 8, 6, 4, 2, 0, 8, 6, 4, 2, 0, 8, 6
Note

This pattern of last digits (8, 6, 4, 2, 0) repeats. Knowing this can help you check if an answer is reasonable.

Key facts to remember

Some facts have special properties that make them easier to remember, like doubling or relationships with other facts.

Helpful connections:
  • Doubling: 8 × 2 is double 8, which is 16. 8 × 4 is double 16, which is 32.
  • Half of 10: 8 × 5 is half of 8 × 10. 8 × 10 = 80, so 8 × 5 = 40.
  • Zero Property: 8 × 0 = 0
  • Identity Property: 8 × 1 = 8
Note

If you know 8 × 6 = 48, you also know 6 × 8 = 48. Multiplication can be done in any order.

Using the facts in word problems

Knowing your multiplication facts allows you to solve real-world problems that involve equal groups or arrays.

Example problem:
  • A package of markers has 8 markers. How many markers are in 7 packages?
  • This means: 8 markers × 7 packages
  • 8 × 7 = 56. There are 56 markers.
Note

Look for phrases like "in each," "per," "every," or "times" to know when to multiply.

Complete fact table for 8

This is the complete set of basic multiplication facts where 8 is one of the factors, from 0 through 12.

Multiplication facts for 8:
  • 8 × 0 = 0
  • 8 × 1 = 8
  • 8 × 2 = 16
  • 8 × 3 = 24
  • 8 × 4 = 32
  • 8 × 5 = 40
  • 8 × 6 = 48
  • 8 × 7 = 56
  • 8 × 8 = 64
  • 8 × 9 = 72
  • 8 × 10 = 80
  • 8 × 11 = 88
  • 8 × 12 = 96
Note

Practice these facts until you know them from memory. This will make math with larger numbers much easier.