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N.5 Multiply 4 by numbers up to 12

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Mmultiplication by 4

Multiplying by 4 means adding a number to itself three more times, or making four equal groups of that number. It is a shortcut for repeated addition.

Examples:
  • 4 × 3 is the same as 3 + 3 + 3 + 3
  • 4 × 5 means four groups with five items in each group
  • 4 × 7 is equal to 7 + 7 + 7 + 7
Note

Think of multiplying by 4 as doubling a number twice. First, double the number, then double the answer.

How to find the product when multiplying by 4

The product is the answer you get when you multiply numbers together. To find the product of 4 and another number, you can use patterns and strategies.

Strategies:
  • Double-Double: Double the other number, then double the result. For 4 × 6: double 6 is 12, double 12 is 24.
  • Skip Counting: Count by fours. For 4 × 8: 4, 8, 12, 16, 20, 24, 28, 32.
  • Use a Known Fact: If you know 4 × 5 = 20, then 4 × 6 is just four more: 24.
Note

Products for multiplying by 4 are always even numbers because you are adding even groups together.

The multiplication facts for 4

Memorizing the basic facts for multiplying by 4 helps you solve problems quickly and accurately up to 4 × 12.

Fact Table (4 × 0 through 4 × 12):
  • 4 × 0 = 0
  • 4 × 1 = 4
  • 4 × 2 = 8
  • 4 × 3 = 12
  • 4 × 4 = 16
  • 4 × 5 = 20
  • 4 × 6 = 24
  • 4 × 7 = 28
  • 4 × 8 = 32
  • 4 × 9 = 36
  • 4 × 10 = 40
  • 4 × 11 = 44
  • 4 × 12 = 48
Note

Look for patterns in the ones digits: 4, 8, 2, 6, 0. This pattern repeats and can help you check your answers.

Using multiplication facts in problems

Once you know the facts, you can use them to solve word problems and more complex equations.

Example Problems:
  • If one box holds 4 crayons, how many crayons are in 7 boxes? (4 × 7 = 28)
  • A car has 4 tires. How many tires do 9 cars have? (4 × 9 = 36)
  • You read for 4 hours each week. How many hours do you read in 11 weeks? (4 × 11 = 44)
Note

Always identify the number of groups (cars, boxes, weeks) and the number in each group (4) to set up your multiplication equation correctly.