Powers and Exponents.pptx
Download as PPTX, PDF0 likes306 views
Powers and exponents describe how to multiply a number by itself a specified number of times. The exponent tells you how many times the base number is used as a factor. Following the order of operations (PEMDAS/BODMAS), you complete all exponent/power calculations before multiplication or division, and perform operations from left to right within each type. Some examples show calculating exponential expressions like 65 = 7,776 and ordering expressions using comparisons like 10 3 < 5 5.
1 of 9
Download to read offline
![• The standard order of operations for
computations involving more than one
mathematical operation is GEMDAS.
G – grouping (), {}, []
E – exponent a2
M – multiplication ×
D – division ÷
A – addition +
S – subtraction ̶](https://image.slidesharecdn.com/powersandexponents-220323061200/85/Powers-and-Exponents-pptx-7-320.jpg)
![Steps in the
Order of Operation
100 ̶ (8+2) × 32
÷ 2 =
• Step 1: Compute all the operations enclosed in
grouping symbols, that is, parentheses (), brackets
[], and braces {}.
• Step 2: Compute all powers or exponents.
100 ̶ (8+2) × 3
2
÷ 2 = 100 ̶ 10 × 3
2
÷ 2
100 ̶ (8+2) × 3
2
÷ 2 = 100 ̶ 10 × 3
2
÷ 2
= 100 ̶ 10 × 9 ÷ 2](https://image.slidesharecdn.com/powersandexponents-220323061200/85/Powers-and-Exponents-pptx-8-320.jpg)
More Related Content
What's hot (20)
Ad
Similar to Powers and Exponents.pptx (20)
Ad
More from NeilfieOrit2 (20)
Recently uploaded (20)
Powers and Exponents.pptx
- 2. 3 base exponent This can be read as: 2 raised to the power of 3 or 2 raise to the third power This means: 2 × 2 × 2 = 8
- 3. • Exponent – tells how many times a number is a multiplied by itself. • Exponential notation 72 = 49 • Expanded notation 7 × 7 = 49
- 4. Example: 65 = 6 × 6 × 6 × 6 × 6 = 7,776 43 = 4 × 4 × 4 = 64 33 = 3 × 3 × 3 = 27
- 5. Activity! Give the value of each expression on the line. 8 3 = __________ 10 5 = __________ 2 4 = __________ 5 7 = __________ 9 6 = __________ Write <, >, or = in each box. 10 3 5 5 4 4 2 8 9 3 3 9
- 7. • The standard order of operations for computations involving more than one mathematical operation is GEMDAS. G – grouping (), {}, [] E – exponent a2 M – multiplication × D – division ÷ A – addition + S – subtraction ̶
- 8. Steps in the Order of Operation 100 ̶ (8+2) × 32 ÷ 2 = • Step 1: Compute all the operations enclosed in grouping symbols, that is, parentheses (), brackets [], and braces {}. • Step 2: Compute all powers or exponents. 100 ̶ (8+2) × 3 2 ÷ 2 = 100 ̶ 10 × 3 2 ÷ 2 100 ̶ (8+2) × 3 2 ÷ 2 = 100 ̶ 10 × 3 2 ÷ 2 = 100 ̶ 10 × 9 ÷ 2
- 9. • Step 3: Multiply and divide in order from left to right. • Step 4: Add and subtract in order from left to right. 100 ̶ (8+2) × 3 2 ÷ 2 = 100 ̶ 10 × 3 2 ÷ 2 = 100 ̶ 10 × 9 ÷ 2 = 100 ̶ 90 ÷ 2 = 100 ̶ 45 100 ̶ (8+2) × 3 2 ÷ 2 = 100 ̶ 10 × 3 2 ÷ 2 = 100 ̶ 10 × 9 ÷ 2 = 100 ̶ 90 ÷ 2 = 100 ̶ 45 = 55