0.7 is 10 times as much as
The correct answer and explanation is:
Correct Answer:
0.07
Explanation:
The question asks: “0.7 is 10 times as much as ___?” To solve this, we need to find a number that, when multiplied by 10, equals 0.7.
Let’s use algebra to solve it:
Let xx be the unknown number.
We are told: 10×x=0.710 \times x = 0.7
To find xx, divide both sides of the equation by 10: x=0.710=0.07x = \frac{0.7}{10} = 0.07
So, 0.7 is 10 times as much as 0.07.
Why This Works:
When you multiply a number by 10, the decimal point moves one place to the right.
So: 0.07×10=0.70.07 \times 10 = 0.7
Similarly, dividing by 10 moves the decimal point one place to the left: 0.7÷10=0.070.7 \div 10 = 0.07
This concept is part of place value in the decimal system. Each digit in a decimal number has a value based on its position:
- 0.7 means 7 tenths (7/10)
- 0.07 means 7 hundredths (7/100)
When we compare the two, 0.7 is larger than 0.07 by a factor of 10.
Real-life Analogy:
Imagine you have 7 dimes. That’s 0.70 dollars. If your friend has only 0.07 dollars (7 cents), then you have 10 times more money than your friend. This illustrates how multiplying or dividing by 10 changes the value while keeping the digits the same.
Understanding multiplication and division by powers of 10 is a fundamental math skill that helps in estimation, scientific notation, and working with decimals and percentages.