Divisibility Rules for Seven

This video tutorial from Moomoomath and Science explains the divisibility rules for the number seven. It provides a clear method to determine if a number is divisible by seven by taking the last digit, doubling it, and subtracting it from the rest of the number. If the result is zero or divisible by seven, the original number is divisible by seven. The video includes examples with the numbers 364 and 2023 to illustrate the process. The tutorial concludes with a prompt to subscribe for more math and science videos.

What is the first step in determining if a number is divisible by seven?

• Subtract the last digit from the rest of the number

• Add the last digit to the rest of the number

• Multiply the last digit by three

• Double the last digit

After doubling the last digit of a number, what should you do next to check for divisibility by seven?

• Multiply the entire number by seven

• Subtract it from the rest of the number

• Add it to the rest of the number

• Divide the number by seven

In the example of 364, what is the result after subtracting the doubled last digit from the rest of the number?

• 28

• 52

• 36

• 8

Why is 364 considered divisible by seven?

• Because 364 is a prime number

• Because 28 is divisible by seven

• Because 364 ends with a four

• Because 364 is an even number

What is the doubled last digit of 2023?

• 9

• 3

• 6

• 12

What is the result of subtracting the doubled last digit from the rest of the number in the example of 2023?

• 202

• 7

• 196

• 12

How do you confirm that 2023 is divisible by seven after the first subtraction?

• By checking if 196 is divisible by seven

• By multiplying 196 by seven

• By adding seven to 196

• By dividing 196 by two

What is the final step to confirm that 2023 is divisible by seven?

• Divide 19 by seven

• Add 12 to 19

• Check if 19 minus 12 equals seven

• Multiply 19 by seven