Grade 5 Math Units 1-2 Review

What is 4.506 written in expanded form? Read each question carefully and fill in the bubble with the letter of the correct answer or answers on your answer sheet.

• 4 + 0.5 + 0.006

• 4 + 0.05 + 0.006

• (4 × 1) + (5 × 1/10) + (6 × 1/1000)

• (4 × 1) + (5 × 1/100) + (6 × 1/1000)

Answer explanation

4.506 can be expressed as 4 + 0.5 + 0.006, where 0.5 represents 5 tenths and 0.006 represents 6 thousandths. The alternative choice (4 × 1) + (5 × 1/10) + (6 × 1/1000) also correctly represents the same value.

Which of the following statements about the numbers 2,470 and 2.47 is correct? Choose the correct TWO answers from the options below.

• 2,470 is 1,000 times greater than 2.47.

• 2,470 is 100 times greater than 2.47.

• 2,470 is 10 times greater than 2.47.

• 2.47 is 1/1000 of 2,470.

• 2.47 is 1/100 of 2,470.

Answer explanation

2,470 is 1,000 times greater than 2.47 because 2,470 divided by 2.47 equals 1,000. Similarly, 2.47 is 1/1000 of 2,470, confirming both correct statements.

Identify the correct representation of 45.678.

• 4 tens + 5 ones + 6 tenths + 7 hundredths + 8 thousandths

• 4 tens + 5 ones + 67 tenths + 8 hundredths

• 45 ones + 6 tenths + 7 hundredths + 8 thousandths

• 4 tens + 5 ones + 6 tenths + 78 thousandths

• 4 tens + 5 ones + 6 tenths + 7 hundredths + 80 thousandths

Answer explanation

The correct representation of 45.678 is 4 tens (40) + 5 ones (5) + 6 tenths (0.6) + 7 hundredths (0.07) + 8 thousandths (0.008), which matches the first choice. It can also be written as 45 ones + 6 tenths + 7 hundredths + 8 thousandths. The last choice is also correct because you can gorup th 78 ending in the thousandths place.

A number is composed of 4 hundreds, 2 tens, and 5 hundredths. What is the number?

• 420.5

• 420.05

• 425.0

• 400.25

Answer explanation

The number is formed by adding 4 hundreds (400), 2 tens (20), and 5 hundredths (0.05). Thus, 400 + 20 + 0.05 = 420.05, making the correct answer 420.05.

Which decimal would make the statement below true?

_____ is 3.5 when rounded to the nearest tenth and 3.46 when rounded to the nearest hundredth.

• 3.451

• 3.456

• 3.465

• 3.432

Answer explanation

3.465 rounds to 3.5 at the nearest tenth (since 3.465 is closer to 3.5 than 3.4) and to 3.46 at the nearest hundredth (as it is exactly 3.465). Other options do not meet both rounding criteria.

Which point on the number line best represents 893.561 rounded to the tenths place?

• Point A

• Point B

• Point C

• Point D

Answer explanation

To round 893.561 to the tenths place, we look at the hundredths digit (6). Since it is 5 or greater, we round up the tenths digit (5) to 6. Thus, 893.561 rounded to the tenths place is 893.6, best represented by Point C.

Select the letter before the symbol that makes a true statement.

5.492 _____ 5.49

• >

• <

• =

In the number 562.139, if the digit 9 is moved two places to the left, what will be the value of the 9?

• 0.009

• 0.09

• 0.9

• 9

Answer explanation

Moving the digit 9 two places to the left in 562.139 changes its position from the hundredths place to the tenths place, making its value 0.9. Therefore, the correct answer is 0.9.

Which list shows the numbers on the cards below arranged in descending order (greatest to least)?

• 6.123, 6.231, 6.213, 6.132

• 6.231, 6.213, 6.132, 6.123

• 6.132, 6.123, 6.213, 6.231

• 6.213, 6.231, 6.132, 6.123

Answer explanation

To arrange the numbers in descending order, compare them starting from the left most digit. Since each of the numbers have 6 ones, then compare the tenths place. The 2 tenths in 6.231 is the largest, followed by 6.213, then 132 thousandths in 6.132 is greater than 123 thousandths in 6.123. Thus, the correct order is 6.231, 6.213, 6.132, 6.123.

A number in expanded form is shown. (5 × 100) + (8 × 10) + (6 × 1/10) + (4 × 1/100) What is the number in standard form?

• 580.64

• 58.064

• 508.64

• 580.046

Answer explanation

To convert to standard form, calculate: (5 × 100) + (8 × 10) + (6 × 1/10) + (4 × 1/100) = 500 + 80 + 0.6 + 0.04 = 580.64. Thus, the correct answer is 580.64.