Question

math buzz
use the rules to write the next eight numbers in the pattern.
rule: subtract 1
9b, 6

1. divide the rectangle into 10 equal sections. find a fraction of the section that is shaded. 10 can be written as (\frac{1}{10}) =
2. armond has 17 pencils. he is giving 5 pencils to each of the students in his math group. he has 3 students in his math group. how many students are in his math group? will there be any pencils left over? if so, how many?
3. plot (\frac{2}{8}) and (\frac{7}{16}) on the number line. order the fractions from least to greatest.
4. multiply.

Explanation:

Step1: Analyze fraction model

The rectangle is divided into 10 equal - parts and 1 part is shaded, so it represents $\frac{1}{10}$.

Step2: Solve pencil - sharing problem

We divide 17 by 5. Using long - division, $17\div5 = 3$ with a remainder. $17 = 5\times3+2$. So there are 2 pencils left over.

Step3: Plot and order fractions

Find a common denominator for $\frac{2}{8}$, $\frac{7}{16}$, and $\frac{3}{16}$. The common denominator of 8 and 16 is 16. $\frac{2}{8}=\frac{4}{16}$. Now we can order them: $\frac{3}{16}<\frac{4}{16}(\text{which is }\frac{2}{8})<\frac{7}{16}$.

Step4: Solve multiplication problem in grid

We multiply the numbers in the grid. $4\times6 = 24$, $4\times8 = 32$, $8\times6 = 48$, $8\times8=64$.

Answer:

1. The fraction represented by the shaded part of the rectangle is $\frac{1}{10}$.
2. There are 2 pencils left over.
3. The order of the fractions from least to greatest is $\frac{3}{16},\frac{2}{8},\frac{7}{16}$.
4. The products in the multiplication grid are: 24, 32, 48, 64.