Math

QuestionConvert these numbers to Roman numerals: 151, 47, 92, 3024.

Studdy Solution

STEP 1

Assumptions1. We are converting decimal numbers to Roman numerals. . We understand the basic Roman numeral symbols I (1), V (5), X (10), L (50), C (100), D (500), M (1000).
3. We understand the basic rules of Roman numerals symbols are placed from left to right in order of value, starting with the largest; however, in a few specific cases, to avoid four characters being repeated in succession (such as III or XXXX), subtractive notation is used I placed before V or X indicates one less, so four is IV (one less than five) and nine is IX (one less than ten), X placed before L or C indicates ten less, so forty is XL (ten less than fifty) and ninety is XC (ten less than a hundred), and so on.

STEP 2

To convert151 into Roman numerals, we start by finding the largest Roman numeral that is less than or equal to151, which is C (100).
151=100+?151 =100 + ?

STEP 3

Subtract the value of the Roman numeral from the decimal number.
151100=51151 -100 =51

STEP 4

Repeat the process with the remainder. The largest Roman numeral less than or equal to51 is L (50).
51=50+?51 =50 + ?

STEP 5

Subtract the value of the Roman numeral from the decimal number.
5150=151 -50 =1

STEP 6

Repeat the process with the remainder. The largest Roman numeral less than or equal to1 is I (1).
1=11 =1

STEP 7

Combine the Roman numerals in the order from largest to smallest.151=C+L+I=CLI151 = C + L + I = CLI

STEP 8

Repeat the process for the other numbers. For47, the largest Roman numeral less than or equal to47 is XL (40).
47=40+?47 =40 + ?

STEP 9

Subtract the value of the Roman numeral from the decimal number.
4740=747 -40 =7

STEP 10

Repeat the process with the remainder. The largest Roman numeral less than or equal to7 is V (5).
7=5+?7 =5 + ?

STEP 11

Subtract the value of the Roman numeral from the decimal number.
75=7 -5 =

STEP 12

Repeat the process with the remainder. The largest Roman numeral less than or equal to2 is II (2).
2=22 =2

STEP 13

Combine the Roman numerals in the order from largest to smallest.47=XL+VII=XLVII47 = XL + VII = XLVII

STEP 14

Repeat the process for the other numbers. For92, the largest Roman numeral less than or equal to92 is XC (90).
92=90+?92 =90 + ?

STEP 15

Subtract the value of the Roman numeral from the decimal number.
9290=292 -90 =2

STEP 16

Repeat the process with the remainder. The largest Roman numeral less than or equal to2 is II (2).
2=22 =2

STEP 17

Combine the Roman numerals in the order from largest to smallest.92=XC+II=XCII92 = XC + II = XCII

STEP 18

Repeat the process for the other numbers. For3024, the largest Roman numeral less than or equal to3024 is MMM (3000).
3024=3000+?3024 =3000 + ?

STEP 19

Subtract the value of the Roman numeral from the decimal number.
3024300=243024 -300 =24

STEP 20

Repeat the process with the remainder. The largest Roman numeral less than or equal to24 is XX (20).
24=20+?24 =20 + ?

STEP 21

Subtract the value of the Roman numeral from the decimal number.
2420=424 -20 =4

STEP 22

Repeat the process with the remainder. The largest Roman numeral less than or equal to4 is IV (4).
4=44 =4

STEP 23

Combine the Roman numerals in the order from largest to smallest.302=MMM+XX+IV=MMMXXIV302 = MMM + XX + IV = MMMXXIVThe Roman numeral representations of the decimal numbers are as followsa.151 = CLIb.47 = XLVIIc.92 = XCIId.302 = MMMXXIV

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord