Question

a multiple is the product of a given whole number and another whole number. 1 x 6 = 6 2 x 6 = 12 3 x 6 = 18 4 x 6 = 24 5 x 6 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 and so on... what are the first 6 multiples of 6? 6, 12, 18, 24, 30, and 36 what are the first 4 multiples of 9? __, , __ and circle the numbers that are multiples of 7. cross out the numbers that are not multiples of 7. 1 7 14 17 21 27 circle the numbers that are multiples of 8. cross out the numbers that are not multiples of 8. 38 40 45 49 64 72 are multiples of 4 always even? explain. are multiples of 3 always odd? explain. super teacher worksheets - www.superteacherworksheets.com

Explanation:

Step1: Find first 4 multiples of 9

Multiply 9 by 1, 2, 3, 4.
$9\times1 = 9$, $9\times2=18$, $9\times3 = 27$, $9\times4=36$

Step2: Identify multiples of 7

Check each number if divisible by 7. Multiples of 7 are 7, 14, 21.

Step3: Identify multiples of 8

Check each number if divisible by 8. Multiples of 8 are 40, 64, 72.

Step4: Analyze multiples of 4

A multiple of 4 is of form $4n$ where $n$ is an integer. Since $4n = 2\times(2n)$ and $2n$ is an integer, multiples of 4 are always even.

Step5: Analyze multiples of 3

Multiples of 3 are of form $3n$. When $n = 2$, $3n=6$ (even). So multiples of 3 are not always odd.

Answer:

• First 4 multiples of 9: 9, 18, 27, 36
• Multiples of 7: Circle 7, 14, 21; Cross - out 1, 17, 27
• Multiples of 8: Circle 40, 64, 72; Cross - out 38, 45, 49
• Are multiples of 4 always even? Yes, because a multiple of 4 is 2 times an integer.
• Are multiples of 3 always odd? No, for example 6 is a multiple of 3 and it is even.