11 Arrange the numbers in each list from smallest to largest. You may like to use a calculator to help you. b 7  6, 6 7, 1 50, 50 3 a 3 2, 4 5, 2 3, 5 4 c 3 10, 9 4, 6 5, 10 3 d 8 3, 3 8, 4 6, 12 2 12 State if each of the following is true or false. _ _ a 12 < √ 121   < 13 b 8 < √ 16  < 10 _ c 7 < √ 64  < 9 _ d 11 < √ 144   < 13 State if each of the following is true or false. _ _ b 5 < √26     < 6    < 3 a 2 < √7  _ c 7 < √30     < 8 14 Write the closest whole numbers that each square root lies between. _ b __< √33     < __ _ _ d __< √ 99     < __ e __< √  120   < __ _ c __< √40     < __ _ f __< √ 214   < __ Expanded form Basic numeral 10 1 10 10 10 2 10 × 10 100 10 3 10  10  5 -N 4 T Index form O 15 a Complete this table. _ d 9 < √ 80  < 10 FO _ a __< √  15  < __ SA LE 13 The square root of a non-perfect square number is not a whole number. We can, however, find two consecutive _ whole numbers that the square root is between. For_ example, what is √ 10  ? Recall that 3 2= 9and 4 2= 16. Since 10 is between the perfect squares 9 and 16, √  10  is between 3 and 4. This is useful for estimating square roots. R PROBLEM SOLVING AND REASONING 10 Which number is bigger: 3 5or 5 3? Number of zeros in the basic numeral 1 N LY b Can you see a pattern? This pattern provides a quick method for finding the value of numbers in index form with a base of 10. Describe this method. c Use this method to evaluate the following. i 10 8 ii 10 6 iii 1 0 15 iv 10 10 d Use the pattern in the table to help you deduce the value of 10 0. i 100 O e Write each number in index form using a base of 10 and the appropriate index. ii 10 000 iii 1 iv 10 000 000 T 16 Explain how finding the square of a number and finding the square root of a number are related. R AF 17 After 1 week, the weight of a baby mouse is double its weight at birth. For the next few weeks, its weight continues to double each week. a What number do you multiply by to double a quantity? D b After 1 week, the mouse would have a weight that is twice as big as the birth weight. After 2 weeks, the weight would be 2 × 2 or 4 times as big as the birth weight. Write each number in index form. c In index form, write the number of times the weight is bigger than the birth weight after three weeks. d How much bigger is the baby mouse after five weeks? 42 — OXFORD MATHS 7 VICTORIAN CURRICULUM OXFORD UNIVERSITY PRESS No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means. BOOK_OM_VIC_Y7_SB_29198_TXT_PPS_NG.indb 42 19-Oct-21 01:26:46