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N.8 Multiply 7 by numbers up to 12

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What is the seven times table?

The seven times table shows the results you get when you multiply the number 7 by other whole numbers. Learning these facts helps you solve problems quickly and builds a strong math foundation.

Examples:
  • 7 × 1 = 7
  • 7 × 2 = 14
  • 7 × 3 = 21
Note

Think of multiplication as repeated addition. 7 × 4 means 7 added together 4 times (7 + 7 + 7 + 7).

How to multiply 7 by numbers 1 through 6

These are the first half of the key facts. You can find the answer by adding seven repeatedly or by using patterns you already know.

Key facts:
  • 7 × 1 = 7 (seven one time)
  • 7 × 2 = 14 (double 7)
  • 7 × 3 = 21 (7 × 2 is 14, plus one more 7 equals 21)
  • 7 × 4 = 28 (double 14, or 7 × 3 plus 7)
  • 7 × 5 = 35 (half of 10 × 7, which is 70)
  • 7 × 6 = 42 (7 × 5 plus 7)
Note

Notice that 7 × 4 (28) is the same as 4 × 7 (28). Multiplication is commutative, which means the order of the numbers does not change the product.

How to multiply 7 by numbers 7 through 12

These facts build on the ones you just learned. Knowing a fact like 7 × 7 helps you quickly figure out 7 × 8.

Key facts:
  • 7 × 7 = 49 (This is a square number. Remember it as a key fact.)
  • 7 × 8 = 56 (Think: 7 × 7 is 49, plus one more 7 equals 56.)
  • 7 × 9 = 63 (7 × 10 is 70, minus one 7 equals 63.)
  • 7 × 10 = 70 (Add a zero to 7.)
  • 7 × 11 = 77 (It's a double digit: 7 and 7.)
  • 7 × 12 = 84 (7 × 10 is 70, plus 7 × 2 (14) equals 84.)
Note

A helpful pattern: For 7 × 9, the digits in the product (6 and 3) add up to 9. This works for 9 × 7 as well.

Using the seven facts in real situations

Multiplication facts help you solve everyday problems quickly, like figuring out how many items you have in total.

Examples:
  • If one pack has 7 markers, how many markers are in 5 packs? (7 × 5 = 35)
  • There are 7 days in a week. How many days are in 9 weeks? (7 × 9 = 63)
  • A music album has 7 songs. How many songs are on 8 albums? (7 × 8 = 56)
Note

When you see a problem asking "how many in all" with equal groups, it's often a multiplication problem. Look for the number of groups and the size of each group.

Strategies for remembering the facts

Use patterns, rhymes, or related facts you already know to help memorize the seven times table.

Memory tips:
  • Use the "tens" fact: 7 × 10 = 70. To find 7 × 9, subtract 7 from 70.
  • Find doubles: 7 × 4 is double 7 × 2. (14 doubled is 28).
  • Look for patterns: The products for 7, 4, 1, 8, 5, 2, 9, 6, 3, 10, 7, 4 in the ones place can form a pattern to help you check your work.
Note

Practice regularly for a few minutes each day. Saying the facts aloud, writing them down, or using flashcards are all effective ways to build memory.