There room ten hundredths in one tenth. To resolve this problem, we have the right to ask ourselves, what execute we multiply one-hundredth v to attain one-tenth? an equation representing this question is b x 1/100 = 1/10, where b dubraintv-jp.com the number of hundredths in one-tenth. Solving for b, we acquire b/100 = 1/10, and also 10b = 100, so that b = 10.
You are watching: How many hundredths are in one tenth
Who are the experts?Our certified Educators are actual professors, teachers, and scholars who usage their scholastic expertise come tackle her toughest questions. Educators go with a rigorous application process, and also every answer they submit is the review by our in-house editorial team.
In mathematics, every digit in a number has actually a ar value. A location value system allows us come assign values to number in a number based on the location of the digit in the number. In mathematics, we usage the decimal or base-ten ar value system to help us to...
Start her 48-hour free trial come unlock this answer and also thousands more. Enjoy ubraintv-jp.com ad-free and also cancel anytime.
In mathematics, every digit in a number has actually a location value. A location value system allows us come assign values to digits in a number based on the location of the number in the number. In mathematics, we usage the decimal or base-ten ar value device to aid us to recognize the worths of assorted numbers.
In the decimal ar value system, the ar values that numbers rise from ideal to left. The an initial place prior to the decimal suggest is the ones place. It is complied with by the tens, hundreds, thousands, ten thousands, and also so on, together we move towards the left. Meanwhile, the first place after ~ the decimal point as we relocate towards the appropriate is the tenths, adhered to by the hundredths, thousandths, and also so on. As such, each position in the decimal ar value system has a worth that is a strength of 10. For example, persons is `10^0` , 10s is `10^1` , and also hundreds is `10^2` , whereas tenths is `10^-1 = frac110` and also hundredths is `10^-2 = frac1100` .
Against this background, therefore, the total value the a digit is the product the the digit and also its place value. Because that example, the complete value of 5 in the number 1.56 is 5 (the digit) x `frac110` (place value) = `frac510` .
To prize how countless hundredths are there in one-tenth, we an initial determine the complete value that one-tenth, i.e., 1 (digit) x `frac110` (place value) = `frac110` , and the full value the one-hundredth, i.e., 1 x `frac1100` = `frac1100` . In other words, we desire to resolve the equation `frac1100 imes b = frac110` , whereby b dubraintv-jp.com the number of hundredths that room in one-tenth. (what need to one-hundredth it is in multiplied v to achieve one-tenth?).
See more: What Is An Example Of A Government Corporation Is, Government Corporation: Definition & Example
Solving the equation, we acquire `fracb100 = frac110` , and also 10b = 100 (cross multiplication), so the b = 10.