### Background Points for teaching:

Decimals are another way of composing fractions. Percentages are another way of creating hundredths. Students need to construct some fraction-decimal relationship as benchmarks.

You are watching: 3 tenths and 6 hundredths as a percent

### Decimals room another way of composing fractions.

Because decimals are part of the base-ten ar value system, the clearest gimpppa.orgnnections in between decimals and also fractions happen where the denominator that a portion is a power of ten:

1/10 = 0.1 3/100 = 0.03 6/1000 = 0.006

Place value materials have the right to be provided to support students to develop gimpppa.orgnceptual links between fractions and also decimals.

For example, the adhering to representation reflects both 1.43 and 1+ 4/10 + 3/100

There is a 10-to-1 relationship between the value of any kind of two nearby places in a number.

For example:

4 tenths = 40 hundredths

1.68 = 1 + 6/10 + 8/100

= 1 + 68/100

By applying place worth it is straightforward to gimpppa.orgnvert indigenous a decimal come fraction. Knowledge that the ar to the right of the decimal point is the tenths location makes it immediately clear that, because that example,

0.3 = 3 tenths = 3/10

0.47 = forty 7 hundredths = 47/100

It is possible to gimpppa.orgnvert fountain to decimal by (i) gimpppa.orgnverting the denominator to a strength of ten, or (ii) by using indistinguishable fractions or (iii) by using division. The is often much more useful to job-related with numbers in the kind of decimals 보다 fractions.

Fractions deserve to be gimpppa.orgnverted come a denominator that a power of ten:

3/5 = 6/10 or 60/100 = 0.6

by using tantamount fractions it is feasible to gimpppa.orgnvert the fraction to a basic denominator that is then easily gimpppa.orgnverted come a decimal. It is as such useful to know some basic gimpppa.orgnversions in between fractions and also decimals.

3/12 = 1/4 = 0.25

by using division a decimal have the right to be found.

1/3 = 1 ÷ 3 = 0.33333.

### Percentages space another way of writing hundredths.

The hatchet percent is an additional name because that hundredths. A portion expressed as a hundredth deserve to simply it is in renamed together a percent. For example, 1/4, or 25/100 is expressed together 0.25 and also as 25%.

An expertise of the role of the decimal point in specify name decimals can help in understanding the link in between hundredths and also percents. The decimal allude identifies the units. For this reason in the decimal 0.742 the decimal suggest identifies the unit the ones. The word ones is implied. The gimpppa.orguld additionally be created as 7.42 one per 10 of 74.2 hundredths. The hatchet hundredths have the right to be replaced with percent to it is in 74.2%. Additional explanations that the decimal suggest in naming decimals can be uncovered in the info on the Decimal Number System.

Percents can be stood for pictorially in the same means as tenths and also hundredths making use of base-ten models such together 10 x 10 grids and circular disks marked around the edge. Location value gimpppa.orglumns can additionally show the hatchet percent.

 Ones Tenths Hundredths (Percent) Thousandths

### Students require to construct some fraction-decimal relationship as benchmarks.See more: How Many Protons Does Al Have ? Aluminum Has An Atomic Number Of 13

To solve problems it is valuable for college student to be able to interchange in between fractions and also decimal units. For example, if a college student was to job-related out the conserving of 25%, the gimpppa.orgnversion come a 1/4 would make the problem easier come solve. The benchmarks of 1/10s, 1/4s, 1/3s and 1/5s are advantageous to understand after an expertise of the fraction-decimal relationship has been established.