Answer

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**Hint:**Here in this question, we have to round off the number to its one decimal. While rounding off the number, the change of the number depends upon the previous number or the number which is present next to the number which we are rounding off. Hence, we obtain the required result for the question.

**Complete step-by-step solution:**

In the number system, the representation of a decimal number is as shown below.

The decimal place value system or table is given or represents as

Integer part | Decimal point | Decimal part | ||||||

hundred | ten | one | . | tenths | hundredths | thousandths | Ten thousandths | Millionths |

100 | 10 | 1 | . | \[\dfrac{1}{{10}}\] | \[\dfrac{1}{{100}}\] | \[\dfrac{1}{{1000}}\] | \[\dfrac{1}{{10000}}\] | \[\dfrac{1}{{1000000}}\] |

Now consider the given number 0.76133.

When we write the given number to there place value we have

Integer part | Decimal point | Decimal part | ||||||

hundred | ten | one | . | tenths | hundredths | thousandths | Ten thousandths | Millionths |

0 | 0 | 0 | . | 7 | 6 | 1 | 3 | 3 |

Now we have rounded the number to its one decimal place. One decimal place to the right of the decimal place is the tenths place. If we want to round off the number to one decimal place, then we have to consider the hundredths place value. So now consider the hundredths place value number. The value is 6.

The round off rule says that look for the next smaller place which is towards the right of the number that is being rounded off to. For example, if you are rounding off a digit from tens place, look for a digit in the ones place. If the digit in the smallest place is less than 5, then the digit will not change. Any number of digits after that number becomes zero and this is known as rounding down. If the digit is greater than or equal to 5, then the digit is added with +1. Any digits after that number become zero and this is known as rounding up.

The hundredths place value is 6. So we add one to the tenths place value and the rest of values of smaller place value numbers will become zero.

Therefore the round off number of 0.76133 to one decimal is 0.8

**Note:**The rounding off method or the rule will be the same for the both system of numbers that is Indian number system and the international number system and it is same for the decimal number also. The rule will depend on the smaller place value and hence we can round off the number.

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