Powers of 10 & Exponents
1. Write 105 in standard form.
100,000
5. Insert parentheses to make this statement true: 40 x 60 + 5 = 2,600.
40 x (60 + 5) = 2,600
9. Divide:
6,300 ÷ 70 =
90
13. How many milliliters (mL) are in 18 liters (L)? (1 L= 1,000 mL)
18 L = ______ mL
18,000 mL
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)
2. Write 10x10x10x10x10x10 in exponential form and in standard form.
Exponential form: 106
Standard form: 1,000,000
6. Insert parentheses to make this equation true: 50 x 40 + 5 = 2,005.
(50 x 40) + 5= 2,005
10. Find the quotient and remainder:
3,842 ÷ 16 =
Quotient: 240
Remainder: 2
14. Convert 250 km to meters (m). (1 km = 1,000 m)
250 km = ________ m
250,000 m
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
3. Divide:
800,000 ÷ 104
80
7. Multiply: 438 x 54.
23,652
11. Find the quotient and remainder:
5,280 ÷ 42 =
Quotient: 125
Remainder: 30
15. Convert 16,000 cg to milligrams (mg). (1 cg = 10 mg)
16,000 cg = _______ mg
160,000 mg
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
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.
8. Multiply:
231 x 22
5,082
12. Solve:
4,356 ÷ 36 =
121
16. Convert 45 meters (m) to millimeters (mm). (1 m = 1,000 mm)
45 m = ______ mm
45,000 mm
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.