Math Problems: Division, Subtraction, And Multiplication

Let's break down these math problems step by step! We'll tackle division, subtraction, and multiplication to get a clear understanding of each question. Math can be fun, guys, so let's dive in!

1) Division: How Many Times Does 4 Fit?

Division is all about figuring out how many times one number goes into another. Think of it as splitting something up into equal groups. So, when we ask how many times 4 fits into 12, we're essentially asking, "If I have 12 things and I want to make groups of 4, how many groups can I make?" To solve this, we can use simple division. Remember, guys, understanding the concept is just as important as getting the answer!

4 into 12

To find out how many times 4 goes into 12, we perform the division: 12 ÷ 4. You might already know your times tables, but if not, think about it like this: 4 + 4 = 8, and 8 + 4 = 12. We added 4 three times to get to 12. Therefore, 4 fits into 12 three times. So the answer is 3. We can also think of this in terms of multiplication. We are looking for a number that, when multiplied by 4, equals 12. Since 4 x 3 = 12, the answer is indeed 3. Understanding different methods to solve the same problem can help solidify your understanding of the concept. Remember, practice makes perfect!

4 into 28

Now, let's see how many times 4 fits into 28. Again, we divide: 28 ÷ 4. If you know your multiplication facts, you might immediately know that 4 x 7 = 28. If not, you can think of it as repeated addition: 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28. We added 4 seven times to get to 28. Therefore, 4 fits into 28 seven times. So the answer is 7. Another way to visualize this is to imagine having 28 objects and dividing them into groups of 4. You would end up with 7 groups. Isn't math cool, guys? It's like a puzzle waiting to be solved! The key to mastering division is to practice regularly and understand the relationship between division and multiplication.

2) Subtraction: How Much Smaller is 18 Than 40?

Subtraction helps us find the difference between two numbers. When we ask how much smaller 18 is than 40, we're looking for the gap between those two numbers. Think of it like this: if you have 40 cookies and someone eats 18, how many cookies are left? Subtraction is the tool we use to find out!

Finding the Difference

To find out how much smaller 18 is than 40, we subtract 18 from 40: 40 - 18. This might require a little borrowing. We can't subtract 8 from 0 directly, so we borrow 1 from the 4 (making it a 3) and add it to the 0 (making it a 10). Now we have 10 - 8 = 2, and 3 - 1 = 2. Therefore, 40 - 18 = 22. So, 18 is 22 smaller than 40. Guys, don't be afraid of borrowing! It's just a way to reorganize the numbers to make the subtraction easier. You can also think of this problem as "What number do I need to add to 18 to get 40?" You could count up from 18 to 40 to find the answer, which is also 22. The more ways you know how to solve a problem, the better you'll understand the underlying concepts. Keep practicing, and you'll become a subtraction superstar!

3) Multiplication: What Numbers Multiply To…?

Multiplication is a shortcut for repeated addition. When we ask what two numbers multiply to equal a certain number, we're looking for factors. Factors are numbers that divide evenly into another number. Think of it like this: if you want to arrange 12 chairs in a rectangular grid, what are the different ways you can arrange them? Each arrangement represents a pair of factors that multiply to 12.

Factors of 12

We need to find two numbers that, when multiplied together, equal 12. There are a few possibilities:

• 1 x 12 = 12
• 2 x 6 = 12
• 3 x 4 = 12

So, the pairs of numbers that multiply to equal 12 are: 1 and 12, 2 and 6, and 3 and 4. Finding factors is like a detective game, guys! You're searching for the right clues (numbers) that fit together to solve the mystery (reach the target number). Understanding factor pairs is super helpful for simplifying fractions and solving more complex math problems.

Factors of 18

Now, let's find the factors of 18. What two numbers multiply to give us 18?

• 1 x 18 = 18
• 2 x 9 = 18
• 3 x 6 = 18

Therefore, the pairs of numbers that multiply to equal 18 are: 1 and 18, 2 and 9, and 3 and 6. Did you notice how we started with 1 and the number itself, and then worked our way up, checking each number to see if it divides evenly? That's a great strategy for finding all the factor pairs! Remember, a number can have multiple pairs of factors, so keep searching until you've found them all.

Factors of 24

Finally, let's find the factors of 24. This one has even more possibilities!

• 1 x 24 = 24
• 2 x 12 = 24
• 3 x 8 = 24
• 4 x 6 = 24

So, the pairs of numbers that multiply to equal 24 are: 1 and 24, 2 and 12, 3 and 8, and 4 and 6. Wow, 24 has a lot of factors! As you can see, finding factors can be a bit like a scavenger hunt. But with practice, you'll become a master factor-finder! Guys, remember that practice is the key to success in math. The more you practice, the better you'll become at recognizing patterns and solving problems quickly and efficiently.

So there you have it! We've tackled division, subtraction, and multiplication, and hopefully, you have a better understanding of each concept. Keep practicing, and don't be afraid to ask for help when you need it. Math is a journey, and every step you take brings you closer to becoming a math whiz!