Download presentation
Presentation is loading. Please wait.
Published byΰΈΰΈΈΰΈΰΈ₯ΰΈ§ΰΈ£ΰΈ£ΰΈ ΰΈ§ΰΈΰΈΰΈ΄ΰΈΰΈΰΈ±ΰΈ Modified over 6 years ago
1
7.4 Approximating Square Roots
Essential Question: How can you find decimal approximations of square roots that are not rational?
2
List the integers each is between
π. πππ ππ πππππππ ________ & ________ ππ ππ πππππππ ________ & ________ πππ ππ πππππππ ________ & ________ πππ ππ πππππππ ________ & ________ 6. π ππ πππππππ ________ & ________ 5 minute timer
3
238 256 225 238 is a little less than half way between 15 & 15.5
Approximate (a) to the nearest integer & (b) to the nearest tenth: 238 256 225 is a little less than half way between 15 & 15.5 Approximately 15.4 238
4
141 Approximate (a) to the nearest integer & (b) to the nearest tenth:
5
Approximating to the tenthsβ place Method 2
6
Approximate to the nearest tenth.
Step 1: Find the perfect squares above & below. Step 2: Subtract original and lower radicals. 141 β 121 = 20 Step 3: Subtract lower and higher radicals. 144 β 121 = 23 Step 4: Write as a fraction These are the mathematical stepsβ¦We do not have to go to this detail. Use top slides and estimate instead 20 23 Step 5: Divide fraction to write as a decimal 20 οΈ 23 β 0.86 round to the nearest tenth of a decimal β.9 Step 6: add lower perfect square integer & decimal 11+.9=11.9
7
On your own practice: Approximate (a) to the nearest integer & (b) to the nearest tenth: 150 7
8
Approximate (a) to the nearest integer & (b) to the nearest tenth:
9
Is this a reasonable approximation 23 , 112 5
Is this a reasonable approximation 23 , ? Which is greater, 10 ππ 5 ? Which is greater, β2 ππ β 2 ?
11
Leave this side open for corrections.
Name Date Period 7.4 pg 313 #2, 6, evens, 46, 48 Leave this side open for corrections.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.