Q: What happens to the value of a number when multiplied by a decimal?

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It increases the value.

A decimal number is multiplied by a non-decimal number the same way any two numbers are multiplied together. The place value of the numbers being multiplied must be kept in mind though. So if 2x3=6, just as 2x30=60, 2x0.3 would be 0.6. For numbers with more than one digit, you would treat the multiplication the same way as for non decimal numbers.

Zero has a value of zero no matter where it's placed. In this example, it happens to be in the hundredths place.

A decimal is a way of representing a number. There is no number after a number.A decimal is NOT a decimal point.

A decimal number has a base of 10, meaning that from the least significant to the most significant digit in a number the value of the digit increases by a factor of 10. Thus the least significant digit has a value of the digit multiplied by 10 raised to power 0, the next digit to the left (the tens digit) has a value of the digit multiplied by 10 raised to power 1, and so on. If you are considering decimal numbers, then the first digit to the right of the decimal point has a place value of 10 raised to power -1, the next digit to the right has a place value of 10 raised to power -2 and so on. In decimal system (unlike the Roman Numerals) the length of the number also signifies the magnitude of the number and there is a place value for each digit (again unlike the Roman Numerals).

Related questions

It increases the value.

No, the product is a variable and whether or not it is irrational will depend on the value of the variable.

A decimal number is multiplied by a non-decimal number the same way any two numbers are multiplied together. The place value of the numbers being multiplied must be kept in mind though. So if 2x3=6, just as 2x30=60, 2x0.3 would be 0.6. For numbers with more than one digit, you would treat the multiplication the same way as for non decimal numbers.

57 because you just shift the decimal point to the right. The number of 0s is the number of times you shift the decimal. In this case 1 zero is 1 movement of decimal point. Note: if it is multplied by negative 10 it means the decimal point moves left however if it is multiplied by positive ten then the decimal point moves right.

No. A decimal is a representation of a number such that the place value of any digit is ten times the place value of the digit to its right. It does not require a decimal point. So the decimal numbers, 3 and 4, can be multiplied together to give 1100 in binary.

Zero has a value of zero no matter where it's placed. In this example, it happens to be in the hundredths place.

Most numbers are a decimal number, with zero sometimes being considered and exception. Since any number can have decimals after it (if it happens to be rounded) perhaps it is. The exact number zero, however, is not. Zero denotates a lack of value as opposed to a value - such as .01.

A decimal number has a base of 10, meaning that from the least significant to the most significant digit in a number the value of the digit increases by a factor of 10. Thus the least significant digit has a value of the digit multiplied by 10 raised to power 0, the next digit to the left (the tens digit) has a value of the digit multiplied by 10 raised to power 1, and so on. If you are considering decimal numbers, then the first digit to the right of the decimal point has a place value of 10 raised to power -1, the next digit to the right has a place value of 10 raised to power -2 and so on. In decimal system (unlike the Roman Numerals) the length of the number also signifies the magnitude of the number and there is a place value for each digit (again unlike the Roman Numerals).

the place value after a decimal point is tenths

A decimal is a way of representing a number. There is no number after a number.A decimal is NOT a decimal point.

A decimal number has a base of 10, meaning that from the least significant to the most significant digit in a number the value of the digit increases by a factor of 10. Thus the least significant digit has a value of the digit multiplied by 10 raised to power 0, the next digit to the left (the tens digit) has a value of the digit multiplied by 10 raised to power 1, and so on. If you are considering decimal numbers, then the first digit to the right of the decimal point has a place value of 10 raised to power -1, the next digit to the right has a place value of 10 raised to power -2 and so on. In decimal system (unlike the Roman Numerals) the length of the number also signifies the magnitude of the number and there is a place value for each digit (again unlike the Roman Numerals).

A single digit in a number can have a decimal place value: a whole number cannot.