Multiplying Decimals by powers of 10.
Rounding and Comparing
Adding and Subtracting Decimals
Writing decimals
(Last problem is adding decimals)
Converting
(Last problem is ordering)
100

The baseball stadium in our town holds thousands of people. Today is Bring Your Dog Day and they're only charging $3.45 admission. 

1 person is $3.45 how many people get to go for $ 34.50?

10 people. Anytime you multiply a decimal by a power of 10 (10,100, 1000) the decimal moves over to the left a certain amount of times based on the number of 0's in the power of 10.

100

Write the symbol >, < or = to compare the decimals:

0.85 and 0.9

0.85 < 0.9

100

3.98 + 4.77= ?

8.75

100

How would you write four hundred fifty-eight thousandths in number form and expanded form?

Number form 0.458 because the 8 needs to end in the thousandths place. It also doesn't say there is a whole number and the word "and" which means a decimal.

Expanded Form 0 x 1+ 4 x 1/10 + 5 x 1/100 + 8 x 1/1000. You take each number  and multiply it to their place value. Then add each together. 

100

How many grams 693 kilograms? 693 kg = ___              

    

69300 g. When we go to from a bigger unit, kilograms, to a smaller unit, grams, we multiply by the number of grams are in a kilogram.

200

The baseball stadium in our town holds thousands of people. Today is Bring Your Dog Day and they're only charging $3.45 admission. 

1 person is $3.45 how much for 100 people to go?

$345.00 Anytime you multiply a decimal by a power of 10 (10,100, 1000) the decimal moves over to the left a certain amount of times based on the number of 0's in the power of 10.

200

Write the symbol >, < or = to compare the decimals:

0.403 and 0.430

0.403 < 0.430

200

8.75 - 5.4=?

3.35

200

How would you write 9.075 in word form and expanded form?

Word form is nine and seventy five thousandths.


Expanded form would be 9 x 1 + 0 x 1/10 + 7 x 1/100 + 5 x 1/1000.

200

How many kilograms is 56 grams? 56g=____ kg

0.056 kg. When we go from a smaller unit, grams, to a bigger unit, kilograms, we divide by the number of grams in a kilogram.

300

The baseball stadium in our town holds thousands of people. Today is Bring Your Dog Day and they're only charging $3.45 admission. 

1 person is $3.45 how much for 1000 people to go?

$3450.00. Anytime you multiply a decimal by a power of 10 (10,100, 1000) the decimal moves over to the left a certain amount of times based on the number of 0's in the power of 10.

300

Write the symbol >, < or = to compare the decimals:

9.326 and 9.236

9.326 > 9.236

300

4.98 + 2.25=?

7.23

300
How would you write 2 x 1 + 5 x 1/10 + 4 x 1/100 + 9 x 1/1000 in number form and word form?

Number form is 2.549. The 2 is multiplied by one which is the ones place value, 5 is multiplied by 1/10 which is the tenths place, 4 is multiplied by 1/100 which is the hundredths place, and 9 is multiplied by 1/1000 which is the thousandths place.

Word form is two and five hundred forty nine thousandths. The 9 ends in the thousandths place.

300

How many milligrams is 7.3 grams? 7.3 g=____ mg

7300 mg. When we go to from a bigger unit, kilograms, to a smaller unit, milligrams, we multiply by the number of milligrams are in a gram.

400

What happens to the number of zeroes in the product as you multiply a number by powers of 10 (10, 100, 1000)?

 Anytime you multiply a decimal or number by a power of 10 (10,100, 1000) the decimal moves over to the right a certain amount of times based on the number of 0's in the power of 10. The digits are moving to the left making the decimal look like it is moving to the right. Each power of 10 increases 10 times it's value. 

400

Round the following number to the nearest whole number, tenth and hundredth.

8.702

To the nearest whole number is 9

To the nearest tenth is 8.7

To the nearest hundredth is 8.70

400

6.03 -2.70=?

3.33

400

73.3 + 45.4=?

118.7

400

How many kilograms is 11,250 grams? 11,250 g= ____kg.

11.250 kg. When we go from a smaller unit, grams, to a bigger unit, kilograms, we divide by the number of grams in a kilogram.

500

Sara was looking at the table above. She noticed that when you multiply a number by powers of 10 (10,100,1000), the decimal point moves over to the right by one place every time. Explain why it works this way. 

Anytime you multiply a decimal or number by a power of 10 (10,100, 1000) the decimal moves over to the right a certain amount of times based on the number of 0's in the power of 10. The digits are moving to the left making the decimal look like it is moving to the right. Each power of 10 increases 10 times it's value.

500

Round the following number to the nearest whole number, tenth and hundredth.

18.975

To the nearest whole number is 19

To the nearest tenth is 19

To the nearest hundredth is 18.98

500

3.97 - 0.97=?

3

500

Order the following decimals by approximately in the correct place on the number line: 

0.508, 0.805, 0.085, 0.985

 0.085, 0.508, 0.805, 0.985. On the number line between 0 and 1 there needs to be 10 tick marks. Each represents a tenth. Then you place the decimals based on the tenths place first.