High School

Calculate the following divisions:

1. [tex]6.42 \div 0.6[/tex]

2. [tex]3.43 \div 0.035[/tex]

3. [tex]3 \div 0.0353 \times 1000[/tex]

4. [tex]5,418.54 \div 0.009[/tex]

5. [tex]812.5 \div 1.25[/tex]

6. [tex]17.343 \div 36.9[/tex]

Answer :

Sure! Let's solve each of the given division problems step-by-step:

1. Calculate [tex]\(6.42 \div 0.6\)[/tex]

To solve this, you can think of it as how many times 0.6 fits into 6.42. When you divide 6.42 by 0.6, you get approximately 10.7.

2. Calculate [tex]\(3.43 \div 0.035\)[/tex]

This means you need to determine how many times 0.035 fits into 3.43. By performing the division, you find that the result is 98.

3. Calculate [tex]\((3 \div 0.0353) \times 1000\)[/tex]

First, divide 3 by 0.0353, which tells you how many times 0.0353 fits into 3. Multiply the result by 1,000 to adjust for the magnitude, giving a result of approximately 84985.84.

4. Calculate [tex]\(5,418.54 \div 0.009\)[/tex]

Here, you divide 5,418.54 by 0.009, essentially determining how many times 0.009 goes into 5,418.54. The result of the division is 602,060.

5. Calculate [tex]\(812.5 \div 1.25\)[/tex]

This division finds how many times 1.25 goes into 812.5. The result is 650.

6. Calculate [tex]\(17.343 \div 36.9\)[/tex]

In this problem, divide 17.343 by 36.9 to see how many times 36.9 fits into 17.343. The result is approximately 0.47.

I hope this helps to understand each step of the problem!

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