2 1-4 Dividing Decimals2.064 ÷ 0.24Step 1- Move the decimal in the divisorStep 2- Move the decimal in the dividendStep 3- How many times can 24 go into 2? Into 20? Into 26?Step 4- Put the number of times up above and subtract the total.Step 5- Repeat until you reach 0!
6 Metric Units Type Unit Reference Example Length Millimeter (mm) Centimeter (cm)Meter (m)Kilometer (km)About the thickness of a dimeAbout the width of your little fingerAbout the distance from a doorknob to the floorAbout the length of 11 football fieldsCapacityMilliliter (mL)Liter (L)A small spoon holds about 5 mLA little more than 1 quartMassMilligram (mg)Gram (g)Kilogram (kg)About the mass of a mosquitoAbout the mass of a paper clipAbout the mass of a bunch of bananas
7 Choose a reasonable estimate and explain your choice. Capacity/Volume of a small bottle:250 mL 250 L 250 kLMass of a Butterfly:500 mg 500 g 500 kgHeight of a student.150 mm 150 cm 150 m
8 Metric Relationships Unit Kilo-meter Hecto-meter Deca-meter meter Deci-meterCenti-meterMilli-meterSymbolkmhmdammdmcmmmValue1,000m100m10m1m0.1m0.01m0.001 mUnitKilo-gramgramMilli-gramSymbolkggmgValue1,000g1g0.001 gUnitliterMilli-literSymbolLmLValue1L0.001 L
9 Step 1Decide if the conversion you are trying to do is going from a larger unit to a smaller unit or from a small unit to a larger unit.mL to Lkm to mcm to m
10 Step 2 Decide how many of the missing unit fits into the known unit. 245 mL = _____ L1 mL = LHint:If you are going from big to small, your missing unit value should be a WHOLE number.If you are going from small to big, your missing unit value should be a DECIMAL.mL is smaller than LSmall to Big We use a decimal.
11 Step 3Once you decide your relationship, multiply by the missing value.245 x = L
12 Put it all together! Change 245 milliliters to liters. 245 mL = ____L1 mL = L245 x = 0.245Check for Reasonableness:A milliliter is less than a liter. So, the number of liters should be less than the number of milliliters < 245, so the answer is reasonable.
13 Don’t forget!We can also convert other measurements besides the biggest or smallest and the base unit!How can we do that?
14 Think. Pair. Share! What is the base unit of length? What unit of mass would you use to measure a body? (mg, g, kg)What number makes each statement true?64 g = ____ kg____L = 302 mL89 km = ____ mThe tallest man in the world was 272 cm tall. Find his height in meters.
15 1-6 Comparing and Ordering Integers You’ll Learn: To compare and order integers and to find absolute values.
16 New Vocabulary Integers- Opposites- Absolute Value- The set of positive whole numbers, their opposites, and zero.Opposites-Two numbers that are the same distance from 0 on a number line, but in opposite directions.Absolute Value-A number’s distance from 0 on a number line.
17 Finding an Opposite Find the opposite of 6. The opposite of 6 is -6 because both are twelve units from 0, but in opposite directions.
18 Finding Absolute Value A number’s distance from 0 on a number line.The absolute value of -3 is written as I-3I = 3
19 Comparing IntegersYou can compare and order integers by graphing on a number line.Tip: Of two integers on a number line, the one farther to the right is greater!