Mathematics High School

Which statement about the product is true? 4.56 x 4.5 repeating

Answers

Answer 1

Answer:

The product is rational.

Step-by-step explanation:

Both a terminating decimal and a repeating decimal are rational numbers. Their product is also rational.

___

The product is 1558/75 = 20 58/75 = [tex]20.77\overline{3}[/tex]

Answer 2

Final answer:

The product 4.56 x 4.5, with 4.5 repeating, should be rounded off to match the number of significant figures in the least precise number. This principle is the key rule governing significant figures in multiplication.

Explanation:

The statement about the product of 4.56 and 4.5 repeating that is true must take into account the rules of significant figures in mathematics. The number 4.56 has three significant figures, while the number 4.5 (repeating) is considered to have an infinite number of significant figures since the decimal part repeats forever.

In this scenario, it's important to remember two rules of multiplication for significant figures:

The result should have as many decimal places as the number with the fewest decimal places.The result should have as many significant figures as the number with the least amount of significant figures.

So, when 4.56 is multiplied by 4.5 (considering only two significant figures to match with 4.56), the product should be rounded off to three significant figures, given that's the least number of accurate figures in question.

Learn more about Significant Figures here:

https://brainly.com/question/37022020

#SPJ3

Related Questions

For several years in massachusetts the lottery commission would mail residents coupons for free lotto tickets. to win the jackpot in Massachusetts, you have to correctly guess all six numbers drawn from a pool of 36. What is the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize?

Answers

Answer: $4.11

Step-by-step explanation:

Given: To win the jackpot in Massachusetts, we have to correctly guess all six numbers drawn from a pool of 36.

The number of combinations of 6 numbers drawn from a pool of 36 is given by :-

[tex]^{36}C_6=\dfrac{36!}{6!(36-6)!}\\\\=\dfrac{36\times35\times34\times33\times32\times31\times30!}{6!30!}\\\\=1947792[/tex]

Now, the probability of winning the prize = [tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]p=\dfrac{1}{1947792}[/tex]

Now, the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize = [tex]p\times\text{Amount}[/tex]

[tex]\dfrac{1}{1947792}\times8000000=4.1072147334\approx\$4.11[/tex]

Hence, the expected value of the free lotto ticket if the jackpot is $8,000,000 and there is no splitting of the prize = $4.11

Tuition and fees T during year x at private colleges can be modeled by T = 755.7(x-1985) +6121. According
to the model, what was the tuition and fees in 2014?

Answers

Answer:

Tution and fees = 28036.3

Step-by-step explanation:

Here you have to replace "x" by 2014, because "x" represents the year and "T" the tuition and fees of that year.

T = 755.7(x-1985) +6121

T = 755.7(2014-1985) + 6121

T = 28036.3

Other Questions

Is -0.5 an integer? Explain. What quantity is a scalar quantity? Equivalent expression of 7 square root 5 Find the x-intercept and the y-intercept of the graph of ax+by=c The following data have been recorded for recently completed Job 450 on its job cost sheet. Direct materials cost was $2,057. A total of 32 direct labor-hours and 216 machine-hours were worked on the job. The direct labor wage rate is $21 per labor-hour. The Corporation applies manufacturing overhead on the basis of machine-hours. The predetermined overhead rate is $29 per machine-hour. The total cost for the job on its job cost sheet would be: Rephrase in contrapositive form:(a) "If you are taller than 6 ft, then it is unpleasant for you to travel in economy class." Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".(b) "If x 0 and y 0 then xy 0" where x, y are real numbers. what is chyclomicrons? Solve the inequality for v 56>8v Which situation would be most effectively shown by a conceptual model?a model showing the organs in the human bodythe flow of matter and energy through an ecosystemthe shape of a large moleculethe relationship between temperature and volume for gases A 1.10 F capacitor is connected in series with a 1.92 F capacitor. The 1.10 F capacitor carries a charge of +10.1 C on one plate, which is at a potential of 51.5 V. (a) Find the potential on the negative plate of the 1.10 F capacitor. (b) Find the equivalent capacitance of the two capacitors. In the lab you weigh out 76.02 g of Iron (Fe). How many moles of Iron do you have in the sample. (Your answer must have a unit...please use the abbreviation). find the equation of the circle: y-intercepts 4 and 8, contain (12, 8) Rand Corporation acquires Southern Company's assets and liabilities for $20,000,000 in cash. At the date of acquisition, Southern's balance sheet reported assets of $75,000,000 and liabilities of $65,000,000. Investigation reveals that Southern's reported plant assets are overvalued by $1,400,000. Rand reports how much goodwill on this acquisition? A projectile is fired from a cliff 220 ft above water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 65 ft per secound. the height ,h, of the projectile abore water is given, h(x)=(-32x^2)/ ((65)^2 ) +x+220. x is the horizontal distance of the projectile from the face of the cliff. What is the maximum value of x? Given: 3x + 1 = -14; Prove: x = -5 A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Justify your conclusions. What does the coronersay about Julia's death? Show that (p v q) A (p Vr)-(q vr) is a tautology. An app developer projects that he will earn 230$ for every 100 apps downloaded .which of the following equation can be used to be represented the proportional relationship between the number of apps ,x,and the total earningsV A ___________________ Government is a type of government in which the power of government is divided evenly among an association of states. A _______________ Government is a central government with certain powers over the states. A __________________ Government is a centralized system of government in which smaller, subordinate governing units can exercise only those powers granted them by the larger, central government