Module 1 Test

Exponents

100

2.73 X 10^{4 =}

27,300

200

983 / 10⁶ 

0.000983

300

.083 X 10^? = 8,300

10⁵

400

63.8 / 10^? = 6.38

10¹ or 10

500

The following equations involve different quantities and use different operations, yet produce the same result. Use a place value chart and words to explain why this is true.

4.13 × 103 = 4130      413,000 ÷ 102 = 4130  

Answer will vary.

Standard, Expanded and Word Form

100

Find the product of 64 X 7 using area form.

448

200

Find the quotient of 164.4 divided by 4. Write it in expanded form.

40 + 1 + 0.1

300

Write 76.3 in standard form, expanded form and word form.

Standard Form: 76.3

Expanded Form: 70 + 6 + 0.3

Word Form: Seventy six and three tenths

400

Use an area model to explain the product of 5.2 and 4. Write the product in standard form, word form, and expanded form.

Standard: 20.8

Expanded: 20 + 0.8

Word: Twenty and eight tenths

500

Use an area model to explain the product of 4.6 and 3. Write the product in standard form, word form, and expanded form.

Standard: 13.8

Expanded: 10 + 3 + 0.8

Word: Thirteen and 8 tenths

Compare

100

2 tenths + 11 hundredths  O  0.13

>

200

13 tenths + 8 tenths + 32 hundredths  O   2.42

=

300

342 hundredths + 7 tenths  O  3 + 49 hundredths

>

400

14 + 72 × 0.1 + 4 × 0.001  O  21.24 

<

500

0.3 × 10² + 0.007 × 10³   O   0.3 × 10 + 0.7 × 10²

<

Word Problems

100

Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. 

About how much medicine did he make in grams? Estimate the amount of each chemical by rounding to the nearest tenth of a gram before finding the sum.

10.357 grams = 10.4 grams

12.062 grams = 12.1 grams

7.506 grams = 7.5 grams

= 30 grams

200

Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. 

Find the actual amount of medicine mixed by Dr. Mann.  

10.357 + 12.062 + 7.506 = 29.925 grams

300

Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5 doses of medicine. 

How many grams are in one dose of medicine?

5.985

400

Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. How much money will he save if he pays cash for the computer instead of paying for it in monthly payments?  

$96.01

500

Brandon mixed 6.83 lb of cashews with 3.57 lb of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lb of nuts left. What was the weight of each bag? Use a tape diagram, and show your calculations.

1.675 lbs

Multiply/Divide

100

82.3 X 3

246.9

200

96.4 / 4

24.1

300

236.34 X 6

1,418.04

400

82.15 / 5

16.43

500

732.45 / 3

244.15