2016. Category 1: Numerical Representation and Relationship

A computer rounded the number 129.257 to the nearest hundredth. What is the number rounded to the nearest hundredth?

• 100

• 129.30

• 130

• 129.26

A bank received a check for two thousand, six hundred nine dollars and seventy-five cents. How is this number written in expanded notation?

• $\left(2\times1,000\right)+\left(6\times100\right)+\left(9\times10\right)+\left(7\times0.01\right)+\left(5\times0.01\right)$

• $\left(2\times1,000\right)+\left(6\times100\right)+\left(9\times1\right)+\left(7\times0.1\right)+\left(5\times0.01\right)$

• $\left(2\times1,000\right)+\left(6\times10\right)+\left(9\times1\right)+\left(7\times1\right)+\left(5\times1\right)$

• $\left(2\times1,000\right)+\left(6\times100\right)+\left(9\times1\right)+\left(7\times0.01\right)+\left(5\times0.001\right)$

The table shows the time in seconds it took four swimmers to complete a race.

Which inequality correctly compares two of these race times?

• 26.5 > 26.05

• 26.15 > 26.5

• 26.1 < 26.05

• 26.15 < 26.1

Seth's homework assignment is to write factor pairs that contain only composite numbers. Seth wrote four factor pairs for the number 132, as shown below.

6 x 22

11 x 12

3 x 44

2 x 66

Which of Seth's factor pairs contains only composite numbers?

• 6 x 22

• 11 x 12

• 3 x 44

• 2 x 66

Joshua compared the values of these decimals.

0.06

0.6

0.006

0.060

Which statement correctly compares two of these numbers?

• 0.6 < 0.06

• 0.006 > 0.6

• 0.6 = 0.06

• 0.060 = 0.06

Books in a library are arranged by their Dewey decimal number. The Dewey decimal number for five books are shown in the picture.

Lana will put these five books in order from the least number to the greatest number.

Which book will be in the fourth position?

• 419.018

• 417.97

• 418.537

• 418.63

What is the value of this expression?

$\left[45-\left(6+3\right)\right]\times27$

• 1,134

• 97

• 198

• 1,206