Plan for Place Value Estimating 4 3 l

Plan for Place Value…. . Estimating /4 3 l e /F Lev de G Gra l 3 e v Le de G Gra Rounding Place Value Decimal Sequences /7 6 l e /C Lev de D Gra Significant Figures Ordering Numbers l 6 e v Le de D Gra

Learning Objectives • To be able to round numbers to a stated amount. • To utilise this knowledge to round numbers to a number of significant figures. • To evaluate statements and decide upon largest or smallest possible amounts.

E Rounding – to the nearest 10 ic r wh e b m e Rem 4830 Copy The 1 st example…. 4837 4832 No …… n m u h col 5 or more? Remember… 0, 1, 2, 3 & 4 keep the number the same 5, 6, 7, 8 & 9 round the number up…. . Yes 4840 195 5 or more? Yes 200 5 or more?

E Rounding – to the nearest 100 …… n m u h col hic w r e b emem R 158231 No 5 or more? 158200 Remember… 0, 1, 2, 3 & 4 keep the number the same 5, 6, 7, 8 & 9 round the number up…. . Copy The 1 st example…. 5872 Yes 5 or more? 5900 89 Yes 5 or more? 100

Rounding to 1 Decimal Place (1 DP) 4. 8325 No 5 or more? 4. 8425 No 4. 852 5 or more? 4. 8 D Yes 4. 9 Rounding to Decimal Places: 2 DP 4. 8325 No 4. 83 5 or more? 4. 846 Yes 4. 85 5 or more? D 4. 85951 Yes 4. 86 5 or more?

Rounding to Decimal Places 4. 852 Yes Your Turn 4. 9 1 DP 5 or more? 1. 6949 No 1. 69 2 DP 5. 2627 5 or more? Yes 5 or more? 5. 263 Rounding, Level 4 – 5 Questions 1 – 6 Significant Figures, Level 6 Questions 7 – 10 (Read the rest of the presentation) 3 DP

Plan for Place Value…. . Estimating /4 3 l e /F Lev de G Gra l 3 e v Le de G Gra Rounding Place Value Decimal Sequences /7 6 l e /C Lev de D Gra Significant Figures Ordering Numbers l 6 e v Le de D Gra

Learning Objectives • To be able to round numbers to a stated amount. • To utilise this knowledge to round numbers to a number of significant figures. • To evaluate statements and decide upon largest or smallest possible amounts.

Significant Figures (Rounding) Numbers can be rounded to 1, 2, 3 or more significant figures. We count the number of figures from the first non-zero digit. Rounding to 1 s. f 4. 3325 5. 7 4 2 5 5 or bigger ? No Yes No 4 6 0. 0 4 2 5 First non -zero digit. 0. 04

Significant Figures (Rounding) Rounding to 1 s. f 0. 0 76 First non -zero digit. 0. 0 0 1 5 First non -zero digit. 5 or bigger ? Yes 0. 08 0. 002

Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number. Rounding whole numbers to 1 s. f 1 472 2 2728 4 88135 5 or bigger ? No No Yes 1 000 20 000 500 000

Significant Figures (Rounding) Rounding to 2 s. f 1. 4729 0. 0 5 3 5 First non -zero digit. 5 or bigger ? Yes 1. 5 0. 054

Significant Figures (Rounding) Rounding to 2 s. f 6. 0729 0. 0 0 0 5 6 3 First non -zero digit. 5 or bigger ? Yes No 6. 1 0. 00056

Significant Figures (Rounding) Rounding whole numbers to 2 s. f Your Turn 1472 42728 204478 5 or bigger ? Yes No 43 000 1 500 Rounding, Level 4 – 5 Questions 1 – 6 Significant Figures, Questions 7 – 10 Level 6 200 000

Your Turn……… • Practice Questions…. . If you need more practice on anything we’ve done so far • Standard Focussed on rounding and significant figures • Challenge Starts on rounding and significant figures, progresses to higher thinking questions…

On your mini whiteboards l 4 Leve l Leve 6 l 8 Leve l 8 e v e L /9

Plan for Place Value…. . Estimating /4 3 l e /F Lev de G Gra l 3 e v Le de G Gra Rounding Place Value Decimal Sequences /7 6 l e /C Lev de D Gra Significant Figures Ordering Numbers l 6 e v Le de D Gra

Learning Objectives • To be able to round numbers to a stated amount. • To utilise this knowledge to round numbers to a number of significant figures. • To evaluate statements and decide upon largest or smallest possible amounts.