*I chose numbers 24 and 27.*

**24.**The first three triangular numbers are 1, 3, and 6.

**A)**What are the next three triangular numbers?

**B)**Add together any two consecutive

triangular numbers. What do you notice about the sums?

**ANSWERS**

**A)**10, 15, 21.

**B)**The sums are all perfect squares.

**27.**

**A)**Determine the square root of each number: 6400, 640 000,64 000 000.

**B)**Describe a quick method for determining mentally the square root of each numbe in part a).

**C)**Explain why this method does notwork for evaluating √640.

**D)**Use your method in part b) to evaluate √640 000 000 000 . Explain how you determine

the answer.

**ANSWERS**

**27. A)**√6400=80

√640000=800

√64000000=8000

**B)**First, ignore all the zero. Have you noticed that 64 is always there? If so, that means 8 is our first digit for each on of the square root. Why?Because the square root of 64 is 8. Next, pair all the zeros into 2. A pair of zero represents a zero after the 8. That means if there is 3 pairs of zero, then there will be 3 zeros after the eight.

**C)**The method I used can only work if all zeros have a partner.

**D)**First I ignore all the zero. I was left with 64.Since I know that the square root of 64 is 8. Then I already know that the first digit of my square root is 8. Next, I paired all the zero. I ended up with 5 pairs. Since I know that there are 5 pairs all I have to do is put them after 8. After all

those steps my answer is 80,000.

**VIDEO:)**

**LINKS!!**

How to find a square root without calculator

Great job Kathryn! I liked how you had a picture, colors, and right info. Also, it is very neat and organized. Next time, maybe you would want to add a link or video. Great job though :)

ReplyDeleteGood job Kathryn! I liked how you bolded and put color the topic and how you added a picture. Next time add a link and video, as Marilen said. Keep it up (:

ReplyDeleteGood Job Kathryn! I like how you put colors on the important words and you scribe is organized! Keep up the Goodwork!

ReplyDeleteGOOD JOB KATHRYN! I liked the way you added in pictures, video, link, and colors for important words. KEEP IT UP!

ReplyDeleteWonderful job Kathryn, I liked one of the pictures were taken by yourself!

ReplyDeleteGreat job Kathryn!

ReplyDeleteI liked how you made the headings different colours, you added a video and link, and how you took a picture of your work and put it on. Keep up the good work.

Great job Kathryn I like how you you put picture and put different colors . Keep it up

ReplyDeleteGreat job, Kathryn! I like how everything is organized and easy to understand. No improvements needed. Keep it up!

ReplyDelete