Problem 19 - Basic College Mathematics

Question

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 20 $$

Step-by-Step Solution

Answer

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Step 1 - Multiply by 1

Start by multiplying the number 20 by 1. \[ 20 \times 1 = 20 \]

Step 2 - Multiply by 2

Next, multiply the number 20 by 2. \[ 20 \times 2 = 40 \]

Step 3 - Multiply by 3

Now, multiply the number 20 by 3. \[ 20 \times 3 = 60 \]

Step 4 - Multiply by 4

Continue by multiplying the number 20 by 4. \[ 20 \times 4 = 80 \]

Step 5 - Multiply by 5

Next step is to multiply the number 20 by 5. \[ 20 \times 5 = 100 \]

Step 6 - Multiply by 6

Then, multiply the number 20 by 6. \[ 20 \times 6 = 120 \]

Step 7 - Multiply by 7

Proceed by multiplying the number 20 by 7. \[ 20 \times 7 = 140 \]

Step 8 - Multiply by 8

Continue by multiplying the number 20 by 8. \[ 20 \times 8 = 160 \]

Step 9 - Multiply by 9

Next, multiply the number 20 by 9. \[ 20 \times 9 = 180 \]

Step 10 - Multiply by 10

Finally, multiply the number 20 by 10. \[ 20 \times 10 = 200 \]

Key Concepts

Multiplying by Numbers

Multiplying numbers is a fundamental math skill. It involves taking one number and adding it to itself a certain number of times. For example, multiplying 20 by 1 means you add 20 once: 20. When you multiply 20 by 2, you add 20 two times: 20 + 20 = 40. Each step simply adds another 20. Let's break it down:

• 20 multiplied by 3: 20 + 20 + 20 = 60
• 20 multiplied by 4: 20 + 20 + 20 + 20 = 80
• Continue adding 20 for each new multiple

Understanding this can help simplify even the largest multiplications.

Basic Arithmetic

Basic arithmetic includes addition, subtraction, multiplication, and division. Multiplication is essentially repeated addition. If you know how to add, you can multiply! For example, to multiply 20 by 5, you can think of it as: 20 + 20 + 20 + 20 + 20. When working with larger numbers, it's helpful to remember a few tips:

• Focus on the first digit and multiply step-by-step
• Use multiplication tables to memorize common multiplications
• Practice with small numbers to build confidence

Being strong in basic arithmetic paves the way for more complex math challenges.

Multiplication Steps

Following specific steps can make multiplication easier. Let's look at our example with 20.

• Step 1 - Multiply 20 by 1: 20 × 1 = 20
• Step 2 - Multiply 20 by 2: 20 × 2 = 40
• Step 3 - Multiply 20 by 3: 20 × 3 = 60
• Step 4 - Multiply 20 by 4: 20 × 4 = 80
• Step 5 - Multiply 20 by 5: 20 × 5 = 100
• Step 6 - Multiply 20 by 6: 20 × 6 = 120
• Step 7 - Multiply 20 by 7: 20 × 7 = 140
• Step 8 - Multiply 20 by 8: 20 × 8 = 160
• Step 9 - Multiply 20 by 9: 20 × 9 = 180
• Step 10 - Multiply 20 by 10: 20 × 10 = 200

By following these steps, students can ensure they understand each stage. Practice makes each step more intuitive and quicker over time.