Example 6: Solve: Solution: Students understand that in geometry the square root of the area is the length of the side of a square and a cube root of the volume is the length of the side of a cube. Students use this information to solve problems, such as finding the perimeter. Example 7: What is the side length of a square with an area of 49 ft2? Solution: = 7 ft. The length of one side is 7 ft. 8.EE.3. Use numbers 8.EE.3 Students use scientific notation to express very large or very small 4, 5, 6 Mini unit expressed in the form of numbers. Students compare and interpret scientific notation quantities in the a single digit times an context of the situation, recognizing that if the exponent increases by integer power of 10 to one, the value increases 10 times. Likewise, if the exponent decreases by one, the estimate very large or value decreases 10 times. Students solve problems using addition, subtraction or very small quantities, and multiplication, expressing the answer in scientific notation. to express how many Example 1: times as much one is than the other. For Write 75,000,000,000 in scientific notation. example, estimate the Solution: 7.5 x 1010 population of the United States as 3 × 108 and the Example 2: population of the world as Write 0.0000429 in scientific notation. 7 × 109, and determine Solution: 4.29 x 10-5 that the world population is more than 20 times larger.
Example 6: Solve: Solution: Students understand that in geometry the square root of the area is the length of the side of a square and a cube root of the volume is the length of the side of a cube. Students use this information to solve problems, such as finding the perimeter. Example 7: What is the side length of a square with an area of 49 ft2? Solution: = 7 ft. The length of one side is 7 ft. 8.EE.3. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109, and determine that the world population is more than 20 times larger. 8.EE.3 Students use scientific notation to express very large or very small numbers. Students compare and interpret scientific notation quantities in the context of the situation, recognizing that if the exponent increases by one, the value increases 10 times. Likewise, if the exponent decreases by one, the value decreases 10 times. Students solve problems using addition, subtraction or multiplication, expressing the answer in scientific notation. Example 1: Write 75,000,000,000 in scientific notation. Solution: 7.5 x 1010 Example 2: Write 0.0000429 in scientific notation. Solution: 4.29 x 10-5 4, 5, 6 Mini unit
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