Common Assessment 1 Study Guide Practice

How many times greater is the value of the digit 4 in 472,890 than the value of the digit 4 in 647,929?

• 10 times

• 100 times

• 1/10

• 1/100

Answer explanation

The 4 in 472,890 has a value of 400,000 and the 4 in 647,929 has a value of 40,000.

400,000 is ten times greater than 40,000.

84.6 ÷ 10²

• 0.0846

• 0.846

• 8,460

• 84,600

Answer explanation

When we divide by a power of ten, we move the decimal to the left. The exponent tells us how many times to move the decimal.

For this problem, we move the decimal to the left 2 times.

Write sixty-three thousand, four hundred twenty-three and thirty-six hundredths in standard form.

Write >, <, or = to make the statement true: 0.516 _____ 0.67

Answer explanation

Remember that you can add a 0 to the thousandths place in 0.67 so the numbers have the same number of digits.

The number 0.516 has a 5 in the tenths place. The number 0.67 has a 6 in the tenths place. 5 is less than 6, so 0.516 is less than 0.67.

Round the following decimal to the tenths place. 325.38 = ______

• 325

• 325.3

• 325.4

• 325.38

Answer explanation

When rounding to the tenths place, we look at the digit in the hundredths place.

"5 or more, raise the score. 4 or less, let it rest."

Our number is 325.38. We have an 8 in the hundredths place, so our 3 will go up to a 4.

Round the following decimal to the hundredths place. 55.928 = ______

• 56

• 55.9

• 55.92

• 55.93

Answer explanation

When rounding to the hundredths place, we look at the digit in the thousandths place.

"5 or more, raise the score. 4 or less, let it rest."

Our number is 55.928. We have an 8 in the thousandths place, so our 2 goes up to a 3.

Write this number in standard form. 3 x 100 + 4 x 10 + 6 x 1 + 7 x 1/10 + 5 x 1/100 + 5 x 1/1000

Answer explanation

The place value that each digit is being multiplied by is the place that digit should be written in.

For example, 3 x 100 + 4 x 10 + 6 x 1 = 300 + 40 + 6, which is 346 in standard form.

Part A: In which number is the value of the 4 greater?

• 14.52

• 23.45

Answer explanation

The value of 4 is greater than the value of 0.4.

Part B: Compare the 4 in the two numbers above. Use these vocabulary words in your explanation: Place Value, tenths, hundredths.

Evaluate responses using AI:

OFF

Answer explanation

4 is ten times greater than 0.4

What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?

• 48 cubic meters

• 12 cubic meters

• 9 cubic meters

• 24 cubic meters

Answer explanation

The formula for volume is V = l x w x h

To solve this problem, plug in the number of cubes for each measurement and multiply them to find the total volume.

V = 4 x 2 x 3