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1c Negative numbers a Multiply 0.36 by i 10 ii 100 iii 1000 b Divide 24 by i 10 ii 100 iii 1000 You can use patterns to work out the answers to questions involving multiplying and dividing by 10, 100 and 1000. a i 0.36 ⫻ 10 ⫽ 3.6 b i 24 ⫼ 10 ⫽ 2.4 ii 0.36 ⫻ 100 ⫽ 36 ii 24 ⫼ 100 ⫽ 0.24 iii 0.36 ⫻ 1000 ⫽ 360 iii 24 ⫼ 1000 ⫽ 0.024 1 Calculate a 34 ⫻ 10 c 12 ⫻ 100 e 2.04 ⫻ 1000 g 9.11 ⫻ 10 b d f h 2 Calculate a 240 ⫼ 10 c 650 ⫼ 100 e 456 ⫼ 1000 g 12 ⫼ 10 3 example example 1b Multiply and divide by 10, 100 and 1000 310 31000 b d f h 3100 8 ⫻ 1000 4.1 ⫻ 10 45.2 ⫻ 100 5.314 ⫻ 100 410 2 Number Multiply and divide by 10, 100 and 1000 a -25 ⫺ -10 ⫽ -25 ⫹ 10 ⫽ -15 b 45 ⫼ -9 b 45 ⫼ -9 ⫽ -5 c (-15)2 c (-15)² ⫽ -15 ⫻ -15 ⫽ 225 1 Put each of these sets of numbers in ascending order (lowest to highest). a -2 -3 4 0 -7 b 12 -16 -23 31 -50 c -2 -6.1 -1.8 -6.4 -2.5 3 Write the difference between these temperatures. a -3 ⬚C and 0 ⬚C b -1 ⬚C and 8 ⬚C c 3 ⬚C and -5 ⬚C d -12 ⬚C and -7 ⬚C e -15 ⬚C and 15 ⬚C f -18 ⬚C and -21 ⬚C 41000 Write which of these operations must be applied to 3.056 to give a 305.6 b 0.3056 c 3056 d 0.003 056 4 Write the operation that is needed to change a 2.56 to 25.6 b 56.12 to 0.5612 c 0.35 to 0.000 35 d 314.3 to 0.3143 e 1.052 to 105.2 f 15 to 0.15 g 214.45 to 21 445 h 0.010 02 to 10.02 a -25 ⫺ -10 2 Insert a ⬍ or ⬎ symbol between each pair of numbers to make a true statement. a 0 -3 b -6 8 c -4 -7 3500 ⫼ 1000 4.1 ⫼ 10 992 ⫼ 100 25 ⫼ 100 4100 Calculate 4 Calculate a 7 ⫺ 10 d -4 ⫺ 2 b -5 ⫹ 6 e -9 ⫹ 9 c -12 ⫹ 4 f 20 ⫺ 40 5 Calculate a 8 ⫹ -3 d 6 ⫺ -9 b 10 ⫺ 4 e -12 ⫹ -8 c -5 ⫹ 2 f -15 ⫺ -5 6 Find the missing numbers. a -2 ⫻ -3 ⫽ b 12 ⫻ ⫽ -24 d -6 ⫻ ⫽ -30 e 16 ⫼ -2 ⫽ 2 g (-4) ⫽ h 18 ⫻ ⫽ -9 c ⫼ 3 ⫽ -5 f ⫼ -50 ⫽ 2 i (9 ⫼ )3 ⫽ -27 Number Negative numbers 3