Unit 1-4

• 50.003

• 500.030

• 50.300

• 500.003

• 500.03

Answer explanation

To solve the question, first calculate the values of the expressions: (5 x 10^2) = 500 and (3 x 1/100) = 0.03. Then, add the two values together: 500 + 0.03 = 500.03. The correct answer is 500.03.

Select all the comparisons that are true:

Answer explanation

The true comparisons are 3.062 > 3.26, 6.23 <> 6.203, and 6.203 < 6.32. To determine this, compare the numbers digit by digit from left to right. For example, in the first comparison, 3.062 is less than 3.26 because 0 is less than 2 in the second decimal place.

A racecar driver holds the record for the fastest speed of 209.806 miles per hour.

Part A:

What is 209.806 rounded to the nearest hundredth?

Answer explanation

To round 209.806 to the nearest hundredth, we look at the thousandth place (6). Since it is greater than or equal to 5, we round up the hundredth place (0) by 1, resulting in 209.81 as the correct rounded value.

A racecar driver holds the record for the fastest speed of 209.806 miles per hour.

Part B:

Which answer explains how you round 209.806 to the nearest hundredth?

• Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.

• Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths place.

• Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.

• Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.

Answer explanation

To round 209.806 to the nearest hundredth, look at the digit in the thousandths place, which is 6. Since it is greater than or equal to 5, increase the digit in the hundredths place by 1, making it 0.81. Then, drop the digit in the thousandths place, resulting in 209.81.

An auditorium has 29 rows of chairs with 115 chairs in each row. How many chairs does the auditorium have in all?

Answer explanation

To find the total number of chairs in the auditorium, we need to multiply the number of rows by the number of chairs in each row. So, 29 rows * 115 chairs per row = 3,335 chairs. Therefore, the correct answer is '3,335'.

Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush.

Part A:

Which expression gives the total amount Lawrence spent?

• $1.89 - $0.45

• $1.89 + $0.45

• $1.89 + $0.54

• $1.89 + $1.89

• $1.89 - $0.54

Answer explanation

The question asks for the total amount Lawrence spent. This can be found by adding the cost of the paint and the brush. The correct expression is $1.89 (cost of paint) + $0.45 (cost of brush). Therefore, the correct option is $1.89 + $0.45.

Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush.

Part B:

What was the total amount Lawrence spent? Use the model to help you on the left.

Answer explanation

The question asks for the total amount Lawrence spent. He spent $1.89 on a bottle of paint and $0.45 on a brush. By adding these two amounts together, we get the total amount spent which is $2.34. Therefore, the correct answer is '$2.34'.

Which equation below is represented by the model to the left?

• 0.4 X 0.3 = 0.12

• 0.4 + 0.3 = 0.7

• 0.12 + 0.18 + 0.28 = 0.56

• 4 X 0.3 = 1.2

Answer explanation

The question asks for the equation represented by a model. The correct answer is '0.4 X 0.3 = 0.12'. This is because multiplication of 0.4 and 0.3 results in 0.12, which matches the given equation. The other options either involve addition or incorrect multiplication, hence they are not correct.

Mr. Rudes goal is to jog 18 miles this week. In three days he has jogged distances of 4.6 miles, 2.3 miles and 1.9 miles. How many more miles does Mr. Rudes need to jog to meet his goal?

Answer explanation

Mr. Rudes has jogged a total of 4.6 + 2.3 + 1.9 = 8.8 miles in three days. His goal is to jog 18 miles this week. So, to meet his goal, he needs to jog 18 - 8.8 = 9.2 miles more. Therefore, the correct answer is '9.2 miles'.

Write this number in standard form: Forty-two thousand, five hundred thirty-six and seven hundred three thousandths.

• 42,536.703

• 42,536.73

• 42,506.73

• 42,567.3

Answer explanation

The question asks to write the number 'Forty-two thousand, five hundred thirty-six and seven hundred three thousandths' in standard form. The correct answer is '42,536.703'. This is because 'Forty-two thousand, five hundred thirty-six' translates to '42,536' and 'seven hundred three thousandths' translates to '.703'. Combining these gives '42,536.703'.