Number 13 hundredths is equal to the 13/100, 1 tenth is equal to the 1/10. The blank part value is 3 hundredths
What is value of hundredths?
Hundredths is written as the fractional part of the number 100. The value of one hundredths is equal to the 1/100 or 0.01.
Given information-
The expression given in the problem is,
13 hundredths = 1 tenth + ___hundredths,
Let the unknown number of hundredth is x.
Now one tenth can be represent in the number form as,
[tex]\dfrac{1}{10}[/tex]
Multiply with 10 in numerator and denominator as,
[tex]\dfrac{1}{10}=\dfrac{10}{100}[/tex]
Now 1/10 is equal to the 10/100. This fraction 10/100 can be written in words as, 10 hundredths.
Similarly the number 13 hundredths can be expressed as,
[tex]\dfrac{13}{100}[/tex]
Keep the value in the given expressing and suppose the unknown number of hundredth is x. Thus,
13 hundredths = 1 tenth + ___hundredths,
[tex]\dfrac{13}{100}=\dfrac{10}{100}+x\\[/tex]
Solve for x as,
[tex]x=\dfrac{13}{100}-\dfrac{10}{100}\\x=\dfrac{13-10}{100}\\x=\dfrac{3}{100}[/tex]
Thus the unknown number of hundredth is 3 hundredths.
Learn more about the hundredths here;
https://brainly.com/question/8974818
