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Learning Task 3. Copy the table below in your notebook. Classify the
given numbers to the appropriate column.
1 128
5 228
1 124
2 101
5 004
1 750
Divisible by 3
2 235
6 625
4 002
3 122
7 134
5 661
Divisible by 6
4 445
9 120
7 886
Divisible by 9
2 088
9 457
9 999

Respuesta :

The given numbers are arranged in the appropriate column according to the divisibility rules as below:

Divisibility by 3:

1128, 5004, 2235, 4002, 7134, 5661, 9120, 2088, 9999

Divisibility by 6:

1128, 5004, 4002, 7134, 9120, 2088

Divisibility by 9:

5004, 5661, 2088, 9999

What are the divisibility rules for 3, 6, and 9?

The divisibility rule for the numbers 3, 6, and 9 are:

For 3 - If the sum of the digits of the given number is divisible by 3, then the number is divisible by 3.

For 6 - If the number is divisible by both 2 and 3, then the number is divisible by 6.

For 2 - If the last digit of the number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

For 9 - If the sum of the digits of the number is divisible by 9 then the number is divisible by 9.

Calculation:

The given numbers are:

1128, 5228, 1124, 2101, 5004, 1750, 2235, 6625, 4002, 3122, 7134, 5661, 4445, 9120, 7886, 2088, 9457, 9999

Divisible by 2:

If the last digit of the number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

So, such numbers in the given list are:

1128, 5288, 1124, 5004, 1750, 40002, 3122, 7134, 9120, 7886, 2088

Divisible by 3:

If the sum of the digits of the given number is divisible by 3, then the number is divisible by 3.

So,

1128 - 1 + 1 + 2 + 8 = 12; Divisible by 3

5228 - 5 + 2 + 2 + 8 = 17

1124 - 1 + 1 + 2 + 4 = 8

2101 - 2 + 1 + 0 + 1 = 4

5004 - 5 + 0 + 0 + 4 = 9; Divisible by 3

1750 - 1 + 7 + 5 + 0 = 13

2235 - 2 + 2 + 3 + 5 = 12; Divisible by 3

6625 - 6 + 6 + 2 + 5 = 19

4002 - 4 + 0 + 0 + 2 = 6; Divisible by 3

3122 - 3 + 1 + 2 + 2 = 8

7134 - 7 + 1 + 3 + 4 = 15; Divisible by 3

5661 - 5 + 6 + 6 + 1 = 18; Divisible by 3

4445 - 4 + 4 + 4 + 5 = 17

9120 - 9 + 1 + 2 + 0 = 12; Divisible by 3

7886 - 7 + 8 + 8 + 6 = 29

2088 - 2 + 0 + 8 + 8 = 18; Divisible by 3

9457 - 9 + 4 + 5 + 7 = 25

9999 - 9 + 9 + 9 + 9 = 36; Divisible by 3

Thus, the numbers divisible by 3 are:

1128, 5004, 2235, 4002, 7134, 5661, 9120, 2088, 9999

Divisible by 6:

If the number is divisible by both 2 and 3, then the number is divisible by 6.

So, the numbers divisible by both 2 and 3 are:

1128, 5004, 4002, 7134, 9120, 2088

Divisible by 9:

If the sum of the digits of the number is divisible by 9 then the number is divisible by 9.

5004 - 5 + 0 + 0 + 4 = 9;

5661 - 5 + 6 + 6 + 1 = 18;

2088 - 2 + 0 + 8 + 8 = 18;

9999 - 9 + 9 + 9 + 9 = 36;

Only these numbers are divisible by 9. They are:

5004, 5661, 2088, 9999

Learn more about divisibility rules here:

https://brainly.com/question/9462805

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