High School

Divide: 83.5 ÷ 6.25

The first step in solving 83.5 ÷ 6.25 is to multiply the divisor and dividend by 100 to eliminate the decimals.

The new division problem is [tex]8350 \div 625[/tex].

Answer :

To solve the division problem 83.5 divided by 6.25, we can make the process easier by eliminating the decimals. Here's how you do it step by step:

1. Identify the Dividend and Divisor:
The dividend is 83.5, and the divisor is 6.25.

2. Eliminate the Decimals:
To remove the decimals, multiply both the dividend and the divisor by 100. This is because there are two decimal places in 6.25 (the divisor). Multiplying by 100 shifts the decimal two places to the right.

- New dividend: [tex]\( 83.5 \times 100 = 8350 \)[/tex]
- New divisor: [tex]\( 6.25 \times 100 = 625 \)[/tex]

3. Form the New Division Problem:
Now, the division problem becomes [tex]\( 8350 \div 625 \)[/tex].

4. Perform the Division:
When you divide 8350 by 625, the solution is 13.36.

So, after adjusting for decimals, the division of 83.5 by 6.25 simplifies to 8350 divided by 625, and the result is 13.36.