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If you just add zeros to a decimal to make it equivalent why does that not change the number?
The important thing to consider is the decimal point.
What happens to the position (place value) of the digits of the original number when you add a zero onto the end (of a whole number)?
Consider the number 123; where is the decimal point?
It is "hiding" at the end after the 3 (it is 123.), thus:
- the 1 is three places to the left of it and so is worth 100
- the 2 is two places to the left of it and so is worth 20
- the 3 is immediately to the left of it and is worth 3
Once a '0' is added, the number becomes 1230; again where is the decimal point?
It is now "hiding" at the end after the added 0 (it is now 1230.), thus:
- the 1 is now four places to the left of it and so is now worth 1000
- the 2 is now three places to the left of it and so is now worth 200
- the 3 is now two places to the left of it and so is now worth 30
So, you can see that in "adding the zero to the end" each of the digits have been moved one place (value column) to the left and so been made 10 times bigger.
Now, consider adding a zero to the end of a number with a decimal point:
Consider the number 12.3; in this case:
- the 1 is two places to the left of the decimal point and so is worth 10
- the 2 is immediately to the left of the decimal point and so is worth 2
- the 3 is immediately to the right of the decimal point and so is worth 3 tenths
Now, when a zero is added to the end, the number becomes 12.30; the digits are now:
- the 1 is still two places to the left of the decimal point and so is still worth 10
- the 2 is still immediately to the left of the decimal point and so is still worth 2
- the 3 is still immediately to the right of the decimal point and so is still worth 3 tenths
So the original digits have not changed place (value columns) and have not changed their value.
The added 0 has been added in the hundredths column in this example, but its value is no hundredths and has added nothing to the value. Thus the value of the number has not changed by the addition of a zero after the decimal point.
What else can I help you with?
What is a decimal equivalent to 3.4600?
Trailing zeros after a decimal point do not change the value of a number; 3.4600 = 3.46
What decimal is equivalent to 1.25?
There are an infinite number of them. Each one is 1.25 followed by some number of zeros.
What decimals are equivalent to 0.68?
0.68 with any number of zeros added after the '8' is a decimal equivalent to 0.68. Examples: 0.680 0.6800000 0.68000000000000000
Are the two decimals equivalent 0.4 and 0.40?
0.4 and 0.40 are equivalent. You can add as many zeros you want onto the end of a decimal- it doesn't change it.
How do you change a negative power of 10 to a decimal?
For a negative power of -k, the equivalent decimal is the decimal point followed by (k-1) zeros followed by 1.Thus 10^-5 = 0.00001
What is a decimal equivalent to 3.4600?
Trailing zeros after a decimal point do not change the value of a number; 3.4600 = 3.46
What is an equivalent decimal to 2.100?
It is: 2.10 or 2.1
What decimal is equivalent to 1.25?
There are an infinite number of them. Each one is 1.25 followed by some number of zeros.
Name an equivalent decimal for 0.3?
0.30 is the answer. to name an equivalent decimal, you simply add or take zeros away from the end of the number without changing the original number. Another example would be 1.42000, to name an equivalent decimal, you would take one or more of the zeros away from the end and make it 1.4200 or 1.42.
What are 2 decimals that are equivalent to a given decimal 5.300?
Two decimals that are equivalent to 5.300 are 5.3 and 5.30. In decimal notation, trailing zeros after the decimal point do not change the value of the number. Therefore, both 5.3 and 5.30 represent the same value as 5.300.
Equivalent decimal for 96.2?
The only equivalent decimals for the above number are the same exact number with zeros trailing after the 2. You can add as many zeros after the two as you want, and it'll still be equal to 96.2.
What is the equivalent decimal for 1.430?
The equivalent decimal for 1.430 is 1.43. When writing decimals, trailing zeros after the decimal point can be dropped without changing the value of the number. Therefore, 1.430 is equivalent to 1.43, as the zero at the end does not affect the overall value of the number.
Why are 0.3 and 0.30 and 0.300 equivalent?
In the decimal system, trailing zeros after the decimal point do not change the value of the number. Therefore, 0.3, 0.30, and 0.300 are all equivalent because they represent the same quantity, which is three tenths. The placement of zeros to the right of the decimal point does not alter the value of the number in this case.
How can you tell 7.630 and 7.63 are equivalent decimal?
Trailing zeros, after the decimal point, do not change its value. However, they do indicate a different degree of precision.
How do you change 4.371371 to fraction?
4.371371 = 4371371/1000000, where the number of zeros in the denominator is the same as the number of digits after the decimal point in the original number. The procedure is somewhat different if the decimal is a recurring decimal.
What decimals are equivalent to 0.68?
0.68 with any number of zeros added after the '8' is a decimal equivalent to 0.68. Examples: 0.680 0.6800000 0.68000000000000000
Are the two decimals equivalent 0.4 and 0.40?
0.4 and 0.40 are equivalent. You can add as many zeros you want onto the end of a decimal- it doesn't change it.
