Mathematics, 13.07.2019 07:30 gianna61

Select all of the following statements that are true. all real numbers are natural numbers. all whole numbers are integers. all integers are whole numbers. all natural numbers are rational numbers.

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Answer from: wyattlb97

Using the number sets, it is found that the correct statements are:

All whole numbers are integers.All natural numbers are rational numbers.Whole numbers: Also called natural, set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.

Statement 1: All real numbers are natural numbers.

Real numbers include decimals, for example, so this statement is false.

Statement 2: All whole numbers are integers.

Whole numbers: {0,1,2,...}Integers: whole numbers plus negatives.Thus, yes, all whole numbers are integers, and this option is correct.

Statement 3: All integers are whole numbers.

False, as integers contain negative values, which are not whole.

Statement 4: All natural numbers are rational numbers.

Rational: Whole(natural + negatives) + fractions.

Thus, yes, all natural numbers are rational, and this option is correct.

A similar problem is given at link

Answer from: hannah2718

ANSWER

2. All whole numbers are integers.

4. All natural numbers are rational numbers.

EXPLANATION

1. All real numbers are natural numbers
FALSE

is a real number but it is not a natural number.

2. All whole numbers are integers.

TRUE.

The set whole numbers is a subset of the set of integers.

3. All integers are whole numbers.

FALSE

is an integer, but it is not a whole number.

4. All natural numbers are rational numbers.

TRUE

The set of natural numbers is a subset of the set of rational numbers.

Answer from: Quest

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

Answer from: Quest

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall is needed to match the record of 40 inches is given by

$40-37.6\\\\=2.4\ inches$

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

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Select all of the following statements that are true. all real numbers are natural numbers. all whol...