Convert 13.02 m to decimeters and express the answer to the correct number of significant figures

The significant figures calculator converts any number into a new number with the desired amount of sig figs AND solves expressions with sig figs (try doing 3.14 / 7.58 - 3.15). What are the significant figures rules? Those concepts will be explained throughout this page as well as how to use a sig fig calculator.

Table of Contents Show

Other questions on the subject: Mathematics
Questions in other subjects:

Prefer watching over reading? Learn all you need in 90 seconds with this video we made for you:

Significant figures are all numbers that add to the meaning of the overall value of the number. To prevent repeating figures that aren't significant, numbers are often rounded. One must be careful not to lose precision when rounding. Many times the goal of rounding numbers is just to simplify them. Use the rounding calculator to assist with such problems.

To determine what numbers are significant and which aren't, use the following rules:

The zero to the left of a decimal value less than 1 is not significant.
All trailing zeros that are placeholders are not significant.
Zeros between non-zero numbers are significant.
All non-zero numbers are significant.
If a number has more numbers than the desired number of significant digits, the number is rounded. For example, 432,500 is 433,000 to 3 significant digits (using half up (regular) rounding).
Zeros at the end of numbers which are not significant but are not removed, as removing would affect the value of the number. In the above example, we cannot remove 000 in 433,000 unless changing the number into scientific notation.

Our significant figures calculator works in two modes - it performs arithmetic operations on multiple numbers (for example, 4.18 / 2.33) or simply rounds a number to your desired number of sig figs.

Following the rules noted above, we can calculate sig figs by hand or by using the significant figures counter. Suppose we have the number 0.004562 and want 2 significant figures. The trailing zeros are placeholders, so we do not count them. Next, we round 4562 to 2 digits, leaving us with 0.0046.

Now we'll consider an example that is not a decimal. Suppose we want 3,453,528 to 4 significant figures. We simply round the entire number to the nearest thousand, giving us 3,454,000.

What if a number is in scientific notation? In such cases the same rules apply. To enter scientific notation into the sig fig calculator, use E notation, which replaces x 10 with either a lower or upper case letter 'e'. For example, the number 5.033 x 10²³ is equivalent to 5.033E23 (or 5.033e23). For a very small number such as 6.674 x 10⁻¹¹ the E notation representation is 6.674E-11 (or 6.674e-11).

When dealing with estimation, the number of significant digits should be no more than the log base 10 of the sample size and rounding to the nearest integer. For example, if the sample size is 150, the log of 150 is approximately 2.18, so we use 2 significant figures.

There are additional rules regarding the operations - addition, subtraction, multiplication, and division.

For addition and subtraction operations, the result should have no more decimal places than the number in the operation with the least precision. For example, when performing the operation 128.1 + 1.72 + 0.457, the value with the least number of decimal places (1) is 128.1. Hence, the result must have one decimal place as well: 128.̲1 + 1.7̲2 + 0.45̲7 = 130.̲277 = 130.̲3. The position of the last significant number is indicated by underlining it.
For multiplication and division operations, the result should have no more significant figures than the number in the operation with the least number of significant figures. For example, when performing the operation 4.321 * 3.14, the value with the least significant figures (3) is 3.14. So the result must also be given to three significant figures: 4.32̲1 * 3.1̲4 = 13.̲56974 = 13.̲6.
If performing addition and subtraction only, it is sufficient to do all calculations at once and apply the significant figures rules to the final result.
If performing multiplication and division only, it is sufficient to do all calculations at once and apply the significant figures rules to the final result.
If, however, you do mixed calculations - addition/subtraction and multiplication/division - you need to note the number of significant figures for each step of the calculation. For example, for the calculation 12.1̲3 + 1.7̲2 * 3.̲4, after the first step, you will obtain the following result: 12.1̲3 + 5.̲848. Now, note that the result of the multiplication operation is accurate to 2 significant figures, and more importantly, one decimal place. You shouldn't round the intermediate result and only apply the significant digit rules to the final result. So for this example, the final steps of the calculation are 12.1̲3 + 5.̲848 = 17.̲978 = 18.̲0.
Exact values, including defined numbers such as conversion factors and 'pure' numbers, don't affect the accuracy of the calculation. They can be treated as if they had an infinite number of significant figures. For example, when using the speed conversion, you need to multiply the value in m/s by 3.6 if you want to obtain the value in km/h. The number of significant figures is still determined by the accuracy of the initial speed value in m/s - for example, 15.23 * 3.6 = 54.83.

To use an exact value in the calculator, give the value to the greatest number of significant figures in the calculation. So for this example, you would enter 15.23 * 3.600 into the calculator.

Since we are talking about basic arithmetic operations, how about checking our distributive property calculator to learn how to handle complex mathematical problems that involve more than one arithmetic operation?

100 has one significant figure (and it's a number 1). Why? Because trailing zeros do not count as sig figs if there's no decimal point.

100.00 has five significant figures. This is because trailing zeros do count as sig figs if the decimal point is present.

0.01 has one significant figure (and it's a number 1). Why? Because leading zeros do not count as sig figs.

0.00208 has three significant figures (2, 0, and 8). Why? Because leading zeros do not count as sig figs, but zeroes sandwiched between non-zero figures do count.

100.10 has five significant figures, that is, all its figures are significant. Why? Because the zeroes sandwiched between non-zero figures always count as sig figs, and there is the decimal dot, so the trailing zeros count as well.

2648 to three significant figures is 2650.

2648 to two significant figures is 2600.

Mathematics, 29.01.2020 20:43, taten9551

Answers

The correct answer was given: Anybody6153

Step-by-step explanation:

We know 1 meter = 10 decimeter

To convert 13.02 meters to decimeters, we multiply 13.02 by 10. Hence, we have:

decimeters

Answer choice C is correct, 130.2 dm

The correct answer was given: Brain

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

The correct answer was given: Brain

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:30, greend0719

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

Answers: 1

Mathematics, 21.06.2019 14:10, nunezjazmine01

Apackage of bacon holds 15 strips of bacon. the pancake house uses 17 packages of bacon in the morning and 21 packages in the afternoon. how many more strips were used in the afternoon than the morning?

Answers: 1

Mathematics, 21.06.2019 22:20, jhonnysoriano9053

Select the correct answer from each drop-down menu. the table shows the annual sales revenue for different types of automobiles from three automobile manufacturers. sales revenue (millions of dollars) suv sedan truck marginal total b & b motors 22 15 9 46 pluto cars 25 27 10 62 panther motors 26 34 12 72 marginal total 73 76 31 180 the company with the highest percentage of sales revenue from sedans is . of the annual sales revenue from suvs, the relative frequency of pluto cars is .

Answers: 1

Mathematics, 21.06.2019 22:50, zitterkoph

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.

Answers: 3