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Chapter 1 Lesson4

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Physical Science

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There are 2 kinds of numbers: ◦ Exact: the amount of money in your account. Known with certainty.

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◦ Approximate: weight, height—anything MEASURED. No measurement is perfect.

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When a measurement is recorded only those digits that are dependable are written down.

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◦ If you measured the width of a paper with your ruler you might record 21.7cm. To a mathematician 21.70, or 21.700 is the same.

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21.700cm to a scientist means the measurement is accurate to within one thousandth of a cm.

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If you used an ordinary ruler, the smallest marking is the mm, so your measurement has to be recorded as 21.7cm.

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Rule: All digits are significant starting with the first non- zero digit on the left.

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Exception to rule: In whole numbers that end in zero, the zeros at the end are not significant.

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7 40 0.5 0.00003 7 x 10 5 7,000,000 11 11 11 11 11 11

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2 nd Exception to rule: If zeros are sandwiched between non-zero digits, the zeros become significant.

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3rd Exception to rule: If zeros are at the end of a number that has a decimal, the zeros are significant.

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3rd Exception to rule: These zeros are showing how accurate the measurement or calculation are.

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1.2 2100 56.76 4.00 0.0792 7,083,000,00 0 22 22 44 33 33 44

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3401 2100 2100.0 5.00 0.00412 8,000,050,00 0 44 22 55 33 33 66

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Rule: When adding or subtracting measured numbers, the answer can have no more places after the decimal than the LEAST of the measured numbers.

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2.45cm + 1.2cm = 3.65cm, Round off to = 3.7cm 7.432cm + 2cm = 9.432 round to 9cm

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Rule: When multiplying or dividing, the result can have no more significant figures than the least reliable measurement.

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56.78 cm x 2.45cm = 139.111 cm 2 Round to 139cm 2 75.8cm x 9.6cm = ?

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Have Fun Measuring and Happy Calculating!

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1) 69.651 + 97.94 = _______ 2) 69.9 + 5.4 = _______ 3) 57.23 + 4.4 + 88.5 = ____ 4) 22.5732 - 5.7 = _______

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1) 69.651 + 97.94 = 167.59 2) 69.9 + 5.4 = 75.3 3)57.23 + 4.4 + 88.5 =150.1 4) 22.5732 - 5.7 = 16.9

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1) 410 ÷ 2.76 = __________ 2) 0.9 x 0.004 x 1000 = _____ 3) 6000 ÷ 5.5 = __________ 4) 2.13 x 58 = __________

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1) 410 ÷ 2.76 = 150 2) 0.9 x 0.004 x 1000 = 4 3) 6000 ÷ 5.5 = 1,000 4) 2.13 x 58 = 120

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Listen to the song Click below

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1) 7, 8, 9, 6, 4, 6, 2, 7, 5 Mean ____ Median ____ Mode ___________ Range ____ Mean 6 median 6 mode 6 7 range 7

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2) 8, 3, 3, 8, 4, 7, 2, 2, 8 Mean ____ Median ____ Mode ___________ Range ____ Mean 5 Median 4 Mode 8 Range 6

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