What number is 1/10 as great as .7
The correct answer and explanation is:
To find the number that is one-tenth as great as 0.7, the problem is asking to calculate one-tenth (1/10) of the number 0.7.
Mathematically, this means multiplying 0.7 by 1/10: Result=0.7×110\text{Result} = 0.7 \times \frac{1}{10}
Since 110=0.1\frac{1}{10} = 0.1, this is equivalent to: Result=0.7×0.1\text{Result} = 0.7 \times 0.1
Multiplying these values: 0.7×0.1=0.070.7 \times 0.1 = 0.07
Therefore, the number that is one-tenth as great as 0.7 is 0.07.
Explanation:
The phrase “one-tenth as great as” means to find a fraction of the original number, specifically one part out of ten equal parts. When a number is divided into ten equal portions, each portion represents one-tenth of the original number. To calculate this value, multiply the number by 1/10.
Since 0.7 is the original number, multiplying it by 1/10 means we are taking 10% of 0.7. The decimal equivalent of 1/10 is 0.1, so multiplying 0.7 by 0.1 moves the decimal point one place to the left, which results in 0.07.
This makes sense logically as well. If you think about 0.7 as seven-tenths, then one-tenth of that is seven one-hundredths, or 0.07.
This approach can be applied to any number when calculating fractions or percentages of a value. Multiplying by fractions less than one will always give a smaller number, indicating the part of the whole you are interested in.
In summary, one-tenth as great as 0.7 equals 0.07 because multiplying by 1/10 reduces the original number to one-tenth of its size.