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1-4 through 1-6 Review For Checkpoint Quiz 2

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1-4 Dividing Decimals 2.064 ÷ 0.24 Step 1- Move the decimal in the divisor Step 2- Move the decimal in the dividend Step 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!

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**Annexing Zeroes to Divide**

48.0 ÷ 6.8

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**Dividing in Word Problems**

A car travels $ miles. It uses gallons of gas. How many miles per gallon of gas does the car travel?

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**1-5 Measuring in Metric Units**

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**Metric Units Type Unit Reference Example Length Millimeter (mm)**

Centimeter (cm) Meter (m) Kilometer (km) About the thickness of a dime About the width of your little finger About the distance from a doorknob to the floor About the length of 11 football fields Capacity Milliliter (mL) Liter (L) A small spoon holds about 5 mL A little more than 1 quart Mass Milligram (mg) Gram (g) Kilogram (kg) About the mass of a mosquito About the mass of a paper clip About the mass of a bunch of bananas

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**Choose a reasonable estimate and explain your choice.**

Capacity/Volume of a small bottle: 250 mL 250 L 250 kL Mass of a Butterfly: 500 mg 500 g 500 kg Height of a student. 150 mm 150 cm 150 m

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**Metric Relationships Unit Kilo-meter Hecto-meter Deca-meter meter**

Deci-meter Centi-meter Milli-meter Symbol km hm dam m dm cm mm Value 1,000m 100m 10m 1m 0.1m 0.01m 0.001 m Unit Kilo-gram gram Milli-gram Symbol kg g mg Value 1,000g 1g 0.001 g Unit liter Milli-liter Symbol L mL Value 1L 0.001 L

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Step 1 Decide 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 L km to m cm to m

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**Step 2 Decide how many of the missing unit fits into the known unit.**

245 mL = _____ L 1 mL = L Hint: 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 L Small to Big We use a decimal.

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Step 3 Once you decide your relationship, multiply by the missing value. 245 x = L

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**Put it all together! Change 245 milliliters to liters.**

245 mL = ____L 1 mL = L 245 x = 0.245 Check 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.

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Don’t forget! We can also convert other measurements besides the biggest or smallest and the base unit! How can we do that?

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**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 mL 89 km = ____ m The tallest man in the world was 272 cm tall. Find his height in meters.

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**1-6 Comparing and Ordering Integers**

You’ll Learn: To compare and order integers and to find absolute values.

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**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.

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**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.

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**Finding Absolute Value**

A number’s distance from 0 on a number line. The absolute value of -3 is written as I-3I = 3

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Comparing Integers You 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!

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Ordering Integers

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