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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We have the numbers 23.828 and 0.28.
Step 2: Perform the division .
To divide 23.828 by 0.28:
- Move the decimal point in the divisor (0.28) two places to the right to make it a whole number (28).
- Move the decimal point in the dividend (23.828) the same number of places to the right, resulting in 2382.8.
- Now, divide 2382.8 by 28 using a calculator or long division method: .
Therefore, the result of dividing 23.828 by 0.28 is .
This matches option 3, with the correct choice being 85.1.
85.1
\( 0.121:0.1= \)
Moving the decimal point the same number of places in both numbers keeps the division equivalent! Think of it like multiplying both the top and bottom of a fraction by the same number - the value stays the same.
Count the decimal places in the divisor (the number you're dividing by). In 0.28, there are 2 decimal places, so move both decimal points 2 places to the right.
Add zeros to the right! For example, if you need to move 23.8 two places right, it becomes 2380. Adding zeros after the decimal doesn't change the value.
Calculators are helpful, but understanding the decimal movement method helps you check if your calculator answer makes sense and builds number sense!
Use estimation! Round 23.828 to 24 and 0.28 to 0.3. Then 24 ÷ 0.3 is about 80, which is close to our answer of 85.1.
Double-check that you moved the decimal points correctly before starting long division. The most common error is in the setup, not the division itself!
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