Why 1.6 Is Written to the Tenths Place
One digit follows the decimal point, so that digit counts tenths. In 1.6, the final digit 6 represents 6/10.
Decimal in the tenths place
1.6 is a positive terminating decimal greater than 1. It has 1 decimal place, and its final digit is in the tenths place.
1.6 in words is one point six.
The digits 1 form the whole-number part, while 6 in the tenth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
1.6 is a positive terminating decimal greater than 1. It is written to the tenths place.
1.6 = 1 + 6/10
1.6 = 1 3/5
The final nonzero digit is in the tenths place, so its value is expressed with a denominator of 10.
1.6 = 16/10
The greatest common divisor of 16 and 10 is 2.
16 ÷ 2 = 8
10 ÷ 2 = 5
Therefore, 16/10 = 8/5.
As a mixed fraction, the value is 1 3/5.
To convert 1.6 to a percentage, multiply it by 100.
1.6 × 100 = 160
Therefore, 1.6 = 160%.
1.6 = 1.60 = 1.600
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 1.6 | tenths | 16/10 | 8/5 |
| 1.60 | hundredths | 160/100 | 8/5 |
| 1.600 | thousandths | 1600/1000 | 8/5 |
One digit follows the decimal point, so that digit counts tenths. In 1.6, the final digit 6 represents 6/10.
The reduced form 8/5 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
This mixed decimal combines the whole part 1 with the fractional part 6/10. In place-value words, "and" marks that boundary.
1.6 lies between 1 and 2. It is 0.4 below 2 and 0.6 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.16 | zero point one six | sixteen hundredths | 4/25 | 16% | ten times smaller than 1.6 |
| 1.6 | one point six | one and six tenths | 8/5 | 160% | current value |
| 1.60 | one point six zero | one and sixty hundredths | 8/5 | 160% | same numerical value, written to the hundredths place |
| 16.0 | sixteen point zero | sixteen | 16 | 1600% | ten times larger than 1.6 |
One point six.
One and six tenths.
8/5.
160%.
1 3/5.
Between 1 and 2.
1.6 in words is one point six.
Because the digit 6 is in the tenths place. Therefore, 1.6 represents one and six tenths.
1.6 is 16/10 exactly and 8/5 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 8/5.
1.6 is equal to 160%.
Yes. 1.6 and 1.60 have the same numerical value. However, 1.6 is written to the tenths place, while 1.60 is written to the hundredths place and may communicate greater recorded precision.
Yes. 1.6 is ten times as large as 0.16.
1.6 is a positive terminating decimal greater than 1. It is written to 1 decimal place and represents one and six tenths.