The Ancient Egyptians (about 2000 B.C.) had a simple way of counting and recording numbers. It was based very much like the decimal system the world uses today. It is similar because it uses 10 as the important number. With decimal notation 10 units make 1 ten; 10 tens make 1 hundred; 10 hundreds make 1 thousand etc. With Egyptian Glyphs 1 is represented by I; 10 is represented by ;ח 100 is represented by ף For example, the number 253 would be represented by I I I ףף חחחחח Resource Author: Ms Sam Stacey, Cherry Orchard Primary School, Birmingham 1) What numbers would be represented by: a) IIII b) II חחחחח c) III ףףף חחחח d) IIIIII ףףףףף e) ףףף חחח 2) How would you write these numbers using Glyphs: a) 32 b) 134 c) 261 d) 204 e) 520 Answers on the next slide ANSWERS: Question1 a) 4 b) 52 c) 343 d) 506 e) 330 Question2 a) II חחח b) IIII ף חחח c) I ףף חחחחחח d) IIII ףף e) ףףףףף חח ADDITION USING GLYPHS Addition with Glyphs is relatively straightforward. II חחח In Decimal Form: 32 add + I ףףףף חחadd In Decimal Form: III חחחחsimply becomes 43 IIIII חחחחחחח = 75 II ף חחחsimply becomes 421 + 132 III ףףףףף חחחחח = 553 If you have 10 of 1 character you simply replace it with 1 of the next highest character. IIIIIII ףף add IIIII ףף חbecomes IIIIIIIIIIII ףףףף ח But IIIIIIIIIIII becomes II ח, So IIIIIIIIIIII ףףףף חbecomes II ףףףף חח In Decimal Form: 207 + 215 = 422 Questions on ADDITION USING GLYPHS. For each of the following make your calculations using Glyphs then change your final answer to decimal form. a) IIIII חחחadd II חח b) II ף חחחadd I ףף חחחח c) IIIIIII חחחadd IIIII ף חח d) III ף חחחחחחadd II ף חחחח e) IIIIII ףף חחח add IIIIII חחחחחחחח f) IIIII חחחחחחadd IIIII חחח Answers on the next slide Answers to Addition with Glyphs. a) 57 b) 373 c) 162 d) 305 e) 322 f) 100 SUBTRACTION USING GLYPHS Subtraction with Glyphs is relatively straightforward too. IIIII חחחח subtract II ח IIIII חחחח subtract II ח Decimal Form: 45 - leaves 12 = III חחח 33 If there are not enough of a certain character to remove, then replace 1 of the next highest character with 10 of the smaller character. III חחח subtract IIIII ח There are not enough “I”s on the left hand side to take away so one “ "חis replaced with 10 “I”s. IIIIIIIIIIIII חח subtract IIIII ח IIIIIIIIIIIII חח subtract IIIII ח Decimal Form: 33 - 15 = leaves IIIIIIII ח 18 Questions on SUBTRACTION USING GLYPHS. For each of the following make your calculations using Glyphs then change your final answer to decimal form. a) IIII חחחחחsubtract III חח b) IIIII ףף חחחsubtract II ף חח c) IIIII ףףףףףsubtract IIIII ףף d) III ףףףף חחsubtract II חח e) I חחחחחsubtract IIIII חח f) III ףף חחחsubtract IIIIII ף חח g) ףףף חחחח h) I ף ח i) ף subtract subtract subtract ף חחחחחחח IIII ח IIII Answers on the next slide Answers to Subtraction with Glyphs. a) 31 b) 113 c) 300 d) 401 e) 26 f) 107 g) 170 h) 97 i) 96 MULTIPLICATION USING GLYPHS Multiplication with Glyphs is more complicated than addition or subtraction but the method can be used to make multiplication with decimals easier.