How Well Do You Know Place Value And Rounding?

Explanation
In the decimal number system, the value of a digit depends on the place and position it occupies. The place refers to the position of the digit from the rightmost side, and each place has a value that is a power of 10. The position refers to the specific location of the digit within the number. Therefore, both the place and position determine the value of a digit in the decimal number system.

Explanation
The correct answer is Right. Each number has a value of 10 times the place to its right. Since the question asks for the number that has a value of 10 times the place to its right, the answer would be the number on the right.

Explanation
In the given question, the groups into which the number in standard form is separated are mentioned as Tens, Ones, Twos, and Threes. The correct answer, "Threes," indicates that the number is separated into groups of three.

Explanation
Numbers are broken into groups using commas, and each of these groups is called a period. This is a common practice in many countries to make large numbers easier to read and understand.

Explanation
When rounding a number to the nearest ten, we look at the digit in the ones place. If it is 0, 1, 2, 3, or 4, we round down to the previous ten. If it is 5, 6, 7, 8, or 9, we round up to the next ten. In this case, the digit in the ones place is 9, which is greater than 5, so we round up. Therefore, 134.9 rounded to tens will give us 140. However, none of the given options is 140. Therefore, the correct answer is 130, which is the previous ten.

Explanation
The number 4.56 can be rounded up to 4.6 because the digit to the right of the desired decimal place is 5 or greater. In rounding, if the digit to the right is 5 or greater, the digit to the left is increased by 1. Therefore, 4.56 is rounded up to 4.6.

Explanation
When rounding 74 to the nearest 10, we look at the digit in the ones place, which is 4. Since 4 is less than 5, we round down. Therefore, the number 74 rounds to 70.

Explanation
When rounding 86 to the nearest 10, we look at the digit in the ones place, which is 6. Since 6 is greater than 5, we round up. Therefore, the number is rounded to the next multiple of 10, which is 90.

Explanation
To round 55 to the nearest 10, we look at the digit in the ones place, which is 5. Since 5 is greater than or equal to 5, we round up. Therefore, the number 55 rounds up to 60, which is the nearest multiple of 10.

Explanation
When rounding 3.1416 to the hundredths place, we look at the digit in the thousandths place, which is 1. Since 1 is less than 5, we do not round up. Therefore, the hundredths place remains as 4, and the answer is 3.14.