0.08 is 10 times as great as
The Correct Answer and Explanation is:
Correct Answer:
0.008
Explanation:
To solve the problem, we need to find a number that, when multiplied by 10, gives 0.08.
In other words, we are being asked:
What number multiplied by 10 equals 0.08?
Let’s call the unknown number x.
So,10 × x = 0.08
To find x, divide both sides of the equation by 10:x = 0.08 ÷ 10
Dividing by 10 moves the decimal point one place to the left:0.08 ÷ 10 = 0.008
So, 0.08 is 10 times as great as 0.008.
Why This Works:
Multiplying or dividing by powers of 10 (like 10, 100, 1000) simply moves the decimal point.
- Multiplying by 10 shifts the decimal point one place to the right.
- Dividing by 10 shifts the decimal point one place to the left.
Example:
- 5 × 10 = 50
- 0.6 × 10 = 6
- 0.03 × 10 = 0.3
- 0.008 × 10 = 0.08
This illustrates how multiplication by 10 increases the value tenfold.
Real-World Application:
Understanding place value and decimals is important in everyday situations like money, measurements, or data entry. For example, if a gram of a substance costs $0.008, then 10 grams would cost $0.08. This kind of understanding is crucial in science, shopping, or budgeting.
Conclusion:
0.08 is 10 times as great as 0.008 because when you multiply 0.008 by 10, you get 0.08. This illustrates a basic principle of decimal place value and multiplication.
