how is the place value used to read decimals

Topographic point Prize: Decimals

Decimals are a shorthand way to publish fractions and mixed numbers with denominators that are powers of $10$ , like $10, 100, 1000, 10000,$ etc.

If a add up has a percentage point , then the first digit to the right of the decimal point indicates the turn of tenths.

For example, the decimal $0.3$ is the same as the fraction $\frac{3}{10}$ .

The back digit to the satisfactory of the percentage point indicates the number of hundredths.

E.g., the denary $3.26$ is the synoptical as the motley phone number $3 \frac{26}{100}$ . (Eminence that the first dactyl to the left of the decimal taper off is the ones dactyl.)

You can write out decimals with more places to the right of the decimal point. For exercise, this is a representation of the amalgamated number $51 \frac{48053}{1000000}$ , with the place values called:

One good way to visualize decimals is by using base $10$ blocks. For instance, suppose a thumping square respresents unrivaled total. If the aboveboard is dig out $10$ strips of equal size, and so each of these represents one tenth or $0.1$ . Each strip can personify cut into ten littler squares to represent hundredths.

Instance 1:

What number does the following set of blocks represent?

Thither is $1$ monumental direct, so the ones digit is $1$ . There are $3$ one-tenths strips, so the tenths fingerbreadth is $3$ . In that location are $6$ one-hundredth squares, then the hundredths digit is $6$ .

So, the figure represents the decimal $1.36$ .

Exercise 2:

What add up does the following diagram represent?

The large wholesome is divided into $100$ squares. Seven complete rows have been shaded (that is, septet tenths) along with nine squares of some other run-in (nine hundredths). So, the quantitative turn is $0.79$ .

Example 3:

If the large square represents cardinal whole, what decimal number does the diagram represent?

The monstrous substantial is divided into $100$ squares. No complete rows own been shaded (that is, ordinal tenths) merely 4 weensy squares of unrivalled dustup have been shadowed (four hundredths). So, the decimal number is $0.04$ .

how is the place value used to read decimals

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