Module 1 Review

Powers of 10 & Exponents

100

1. Write 10⁵ in standard form.

100,000

200

2. Write 10x10x10x10x10x10 in exponential form and in standard form.

Exponential form: 10⁶

Standard form: 1,000,000

300

3. Divide:

800,000 ÷ 10⁴

80

400

4. Explain why 700,000 ÷ 10³ = 700 by describing what happens to the zeros.

Dividing by 10³ (which equals 1,000) removes 3 zeros or shifts the digits 3 place values to the right.

Multiplication & Order of Operations

100

5. Insert parentheses to make this statement true: 40 x 60 + 5 = 2,600.

40 x (60 + 5) = 2,600

200

6. Insert parentheses to make this equation true: 50 x 40 + 5 = 2,005.

(50 x 40) + 5= 2,005

300

7. Multiply: 438 x 54.

23,652

400

8. Multiply: 

231 x 22

5,082

Multi-Digit Division

100

9. Divide: 

6,300 ÷  70 =

90

200

10. Find the quotient and remainder: 

3,842 ÷  16 =

Quotient: 240

Remainder: 2

300

11. Find the quotient and remainder: 

5,280 ÷  42 =

Quotient: 125

Remainder: 30

400

12. Solve: 

4,356 ÷  36 = 

121

Metric Conversions

100

13. How many milliliters (mL) are in 18 liters (L)? (1 L= 1,000 mL)  

18 L = ______ mL 

18,000 mL

200

14. Convert 250 km to meters (m). (1 km = 1,000 m)

250 km = ________ m 

250,000 m

300

15. Convert 16,000 cg to milligrams (mg). (1 cg = 10 mg)

16,000 cg = _______ mg

160,000 mg

400

16. Convert 45 meters (m) to millimeters (mm). (1 m = 1,000 mm)

45 m = ______ mm

45,000 mm

Real-World Word Problems & Comparing

100

17. Compare using > , < , or = without evaluating:

42 x (215 + 640) ______ (4 + 42) x (415 + 640)

<

because: 

42 x (215 + 640) ______ (4 + 42) x (415 + 640)

42 x (215 + 640) ___<__ 46 x (415 + 640)

200

18. Compare using > , < , or = without evaluating: 

815 x (6 + 30) ____ 815 x 36

=

because: 

815 x (6 + 30) ____ 815 x 36

815 x 36 ____=___ 815 x 36

300

19. Galilea has 4 boxes of markers. Each box has 24 markers. If she shares them equally among 16 classrooms, how many markers does each classroom get?

Galilea tiene 4 cajas de marcadores. Cada caja tiene 24 marcadores. Si los reparte equalmente entre 16 salones de clase, ¿cuántos marcadores recibe cada salón?

(4 x 24) ÷ 16 = 6 markers

Each classroom gets 6 markers

400

20. A bakery makes 3,450 cookies. They pack them into boxes of 24. How many full boxes can they make, and how many cookies are left over? What does the remainder represent?

Una panadería hace 3,450 galletas. Las empaqueta en cajas de 24 unidades. ¿Cuántas cajas completas puede preparar y cuántas galletas sobran? ¿Qué representa el resto?

143 full boxes, with 18 leftover cookies. The remainder represents the extra cookies that cannot fill a complete box.