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Q: How can you use the commutative and associative properties to make it easier to find that some of digits one through nine?

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Remember the commutative property of multiplication: 4 x 2 is the same as 2 x 4. The number of digits in a product can not exceed the number of digits in the multiplier and multiplicand: the product of 23 X 234 is five digits or less.

744 digits.

No. They are not at all the same thing. A multiplication array is something that you usually use when you're learning multiplication. For example: there are 5 rows of 7. Its a picture that shows something like that. On the other hand, a commutative property is 2 numbers that you can multiply very easily in your head. The numbers are between 0 and 9. If they are double digits, they're not commutative property.

1000

The communative property is that if you switch digits around in an equation that is multiplication or addition, you get the same outcome anyway. Examples: 6x3=18 3x6=18 4+28=32 28+4=32

Related questions

Remember the commutative property of multiplication: 4 x 2 is the same as 2 x 4. The number of digits in a product can not exceed the number of digits in the multiplier and multiplicand: the product of 23 X 234 is five digits or less.

744 digits.

No. They are not at all the same thing. A multiplication array is something that you usually use when you're learning multiplication. For example: there are 5 rows of 7. Its a picture that shows something like that. On the other hand, a commutative property is 2 numbers that you can multiply very easily in your head. The numbers are between 0 and 9. If they are double digits, they're not commutative property.

630 digits.

1000

The decimal system has ten digits (0 through 9)

There are the digits 1 through 9 for the first digit. Then, we have 0 through 9 for the second digit - excluding the first digit. For the third digit, we have 0 through 9 excluding the two previous digits

Almost got me on this one. 20 numbers but 29 digits

249 + 318 = 567

The communative property is that if you switch digits around in an equation that is multiplication or addition, you get the same outcome anyway. Examples: 6x3=18 3x6=18 4+28=32 28+4=32

The structure of the card number varies by system. For example, American Express card numbers start with 37; Carte Blanche and Diners Club with 38.American Express - Digits three and four are type and currency, digits five through 11 are the account number, digits 12 through 14 are the card number within the account and digit 15 is a check digit.Visa - Digits two through six are the bank number, digits seven through 12 or seven through 15 are the account number and digit 13 or 16 is a check digit.MasterCard - Digits two and three, two through four, two through five or two through six are the bank number (depending on whether digit two is a 1, 2, 3 or other). The digits after the bank number up through digit 15 are the account number, and digit 16 is a check digit.

This can be solved by looking at each set of digit lengths. From 1 through 9, it's obvious there are 9 digits. From 10 through 99, there are 2 digits for each of the 90 numbers, so that makes 90*2=180 digits. Next, from 100 to 400, there are 401 numbers with 3 digits each, making another 401*3=1,203 digits. So the final answer is 9+180+1,203 = 1,392 digits.