Best Answer

1) Look at the two numbers you are multiplying

2) Find both their number of significant digits

3) Multiply both numbers together normally

4) Round your answer to the same number of significant digits of the least number in the first two factors

250 x 185

250 had 2 sig. digits------ 185 has 3 sig. digits

250 has the least number of sig. digits (2)

Final answer has to have 2 sig. digits

Normal answer: 46250

With rounding of sig. digits: 46000

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Q: How to use significant digits in multiplication?

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The number 202.45 has five significant digits.

Measurements need to be specific so we use significant digits.

There are 5 significant figures in 10057.-----------------When are Digits Significant? Non-zero digits are always significant. Thus, 22 has two significant digits, and 22.3 has three significant digits. With zeroes, the situation is more complicated: # Zeroes placed before other digits are not significant; 0.046 has two significant digits. # Zeroes placed between other digits are always significant; 4009 kg has four significant digits. # Zeroes placed after other digits but behind a decimal point are significant; 7.90 has three significant digits. # Zeroes at the end of a number are significant only if they are behind a decimal point as in (c). Otherwise, it is impossible to tell if they are significant. For example, in the number 8200, it is not clear if the zeroes are significant or not. The number of significant digits in 8200 is at least two, but could be three or four. To avoid uncertainty, use scientific notation to place significant zeroes behind a decimal point: 8.200 ´103 has four significant digits 8.20 ´103 has three significant digits 8.2 ´103 has two significant digitsSignificant Digits in Multiplication, Division, Trig. functions, etc. In a calculation involving multiplication, division, trigonometric functions, etc., the number of significant digits in an answer should equal the least number of significant digits in any one of the numbers being multiplied, divided etc. Thus in evaluating sin(kx), where k = 0.097 m-1 (two significant digits) and x = 4.73 m (three significant digits), the answer should have two significant digits. Note that whole numbers have essentially an unlimited number of significant digits. As an example, if a hair dryer uses 1.2 kW of power, then 2 identical hairdryers use 2.4 kW: 1.2 kW {2 sig. dig.} ´2 {unlimited sig. dig.} = 2.4 kW {2 sig. dig.}

As a result of the rule that you use the definition of the term - such as significant digits - when finding them for a number.

Any non-zero digit is significant. Example: 352.12 has 5 significant digits. A zero is significant if it appears between non-zero digits. Example: 504.2 has 4 significant digits. A zero is also significant when it appears after the decimal point, AFTER other digits. In this case, it was only added to indicate a significant digit. Example: 5.30 has 3 significant digits. A zero after other numbers may or may not be significant. Use scientific notation to unambiguously indicate the number of significant digits. Example: 4500 has 2 significant digits. It may have 3 or 4 significant digits, but to be safe, assume 2 significant digits. A zero is NOT significant if it comes after the decimal point, BEFORE any other digits. In this case, it is only used to put the digits in their proper place. Example: 0.0024 has 2 significant digits.

You can calculate that on any calculator, and get a result with 10 significant digits or so - more than you need for most practical situations. In Excel, you get 15-16 significant digits. If you really want all the digits, you can:* Use the Wolfram Alpha website. Use "*" for multiplication. * Install a program that can handle more digits. For example, a Python interpreter will work just fine, and you can use it as a calculator.

Non-zero digits are always significant. Thus, 569 has three significant digits, and 69.35 has four significant digits. Zeros are sometimes significant and sometimes aren't: # Zeroes placed before other digits are not significant; 0.0968 has three significant digits. # Zeroes placed between other digits are always significant; 70063 kg has five significant digits. # Zeroes placed after other digits but behind a decimal point are significant; 7.90 has three significant digits. # Zeroes at the end of a number are significant only if they are behind a decimal point as in (c). Otherwise, it is impossible to tell if they are significant. For example, in the number 8200, it is not clear if the zeroes are significant or not. The number of significant digits in 8200 is at least two, but could be three or four. To avoid uncertainty, use scientific notation to place significant zeroes behind a decimal point: 8.200 * 103 has four significant digits 8.20 * 103 has three significant digits 8.2 * 103 has two significant digits

It isn't clear what the question is. If you are supposed to multiply or divide, and if by "signification figures" you mean significant digits, do the multiplication (or division), then round to three significant digits - since the least-precise of the numbers only has three significant digits.

Five. All nonzero digits are significant and zeros in between significant digits are significant.

the precision of the answer must have the same number of significant digits as the measurement with the least significant digits- the site explains the rules and how to identify significant digits

Five. All nonzero digits are significant and zeros in between significant digits are always significant.

Five. All nonzero digits are significant and zeros in between significant digits are always significant.

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