Download presentation
Published byRuby Golden Modified over 9 years ago
1
Warm Up Simplify. 1. ( ) 2 + 50 5 ANSWER 260 2. ( ) 25 – + 18 ANSWER 7
Real Numbers and Number Operations Simplify. 1. ( ) 2 + 50 5 ANSWER 260 2. ( ) 25 – + 18 ANSWER 7 – 3. What is the difference between a daily low temperature of 5°F and a daily high temperature of 18°F? – ANSWER 23°F
2
. Example 1 3 5 – Graph the real numbers , , and 2.6. 2 SOLUTION
Graph Numbers on a Number Line 3 5 – Graph the real numbers , , and 2.6. 2 SOLUTION First, recall that , so is between and Then, approximate as a decimal to the nearest tenth: Finally, graph the numbers. 3 5 – 2 1 ≈ = 2 3 5 – 2.6 1 4 .
3
Example 2 Compare Real Numbers Graph the numbers and Then compare them using the symbol < or >. – 1 – 4 SOLUTION Begin by graphing both numbers on a real number line. . 1 2 3 – 7 6 5 4 – 4 Because is to the left of , it follows that is less than , or < You can also say that is greater than , or > 1
4
Example 3 Order Temperatures Science The table shows the record low temperatures for five months at the South Pole. Use a number line to order the temperatures from lowest to highest. Month May June July Aug. Record low temp. 111°F – 109°F 117°F 113°F 108°F Sept. SOLUTION – 119 117 115 109 107 111 113 108 .
5
From lowest to highest, the temperatures are , , , , and . 117°F –
Example 3 Order Temperatures ANSWER From lowest to highest, the temperatures are , , , , and 117°F – 113°F – 111°F – 109°F – 108°F –
6
Checkpoint Graph and Order Real Numbers Graph the numbers on a number line. Then write the numbers in order from least to greatest. . . . – 3 – 2 5 1. – 2, 3 5, ANSWER – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 – 2, 3, 5 ANSWER – 6, 3 10, 2 14 12 10 8 6 4 . 2. – 6, 3, 10
7
Checkpoint Graph and Order Real Numbers Graph the numbers on a number line. Then write the numbers in order from least to greatest. ANSWER 2 3 – 0.5, , 1 . 0.5 3. 2 3 – 2, 0.5 ,
8
Show how you can use the distributive property to evaluate . 203 • 5
Example 4 Use Properties of Real Numbers Show how you can use the distributive property to evaluate 203 • 5 SOLUTION = 203 • 5 ( ) 3 + 200 Rewrite 203 as = ( ) 3 + 200 5 Distributive property = + 1000 15 1015 Simplify.
9
a. Find the difference of 4 and 9. –
Example 5 Operations with Real Numbers a. Find the difference of 4 and 9. – ( ) 9 – 4 = + Add 9, the opposite of 9. Simplify. = 13 b. Find the quotient of 15 and . – 3 1 – 15 ÷ 3 1 = • Multiply by 3, the reciprocal of . Simplify. = – 45
10
Select and perform an operation to answer the question.
Checkpoint Operations with Real Numbers Select and perform an operation to answer the question. 4. 2 1 – What is the quotient of 16 and ? ANSWER 32 5. What is the product of 5 and 8? – ANSWER 40 –
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.