Question

study the example showing how to use multiples to solve a word problem. then solve problems 1 - 6.
example
markers come in boxes of 5. paul needs 40 markers for students in the art club. can paul buy exactly 40 markers in boxes of 5? how many boxes does he need to buy?
find multiples of 5.
5×1 = 5
5×2 = 10
5×3 = 15
5×4 = 20
5×5 = 25
5×6 = 30
5×7 = 35
5×8 = 40
5×9 = 45
40 is a multiple of 5.
paul can buy exactly 40 markers in boxes of 5.
paul needs to buy 8 boxes.
1 skip - count by 4s to find multiples of 4. circle the multiples on the number line
0 2 4 6 8 10 12 14 16 18 20
2 complete the multiplication facts to find more multiples of 4.
4×6 = 24
4×
=
4×
=
4×
=
4×
=
3 look at problems 1 and 2. are these the only multiples of 4? use words and numbers to explain.
vocabulary
multiple the product of a given number and any other whole number.

Explanation:

Step1: Skip - count for problem 1

Circle 4, 8, 12, 16, 20 on the number - line as they are multiples of 4 when skip - counting by 4.

Step2: Complete multiplication facts for problem 2

4×7 = 28, 4×8 = 32, 4×9 = 36, 4×10 = 40 (answers can vary for the blanks as long as they are valid multiplications of 4).

Step3: Answer problem 3

No, these are not the only multiples of 4. Multiples of 4 are 4n where n is a whole number. There are infinitely many whole numbers. For example, when n = 11, 4×11 = 44; when n = 100, 4×100 = 400.

Answer:

1. Circled numbers on number - line: 4, 8, 12, 16, 20
2. Example multiplications: 4×7 = 28, 4×8 = 32, 4×9 = 36, 4×10 = 40
3. No, there are infinitely many multiples of 4 such as 44, 400 etc.