5th Unit 1 Review

Place Value

100

What is the value of the digit 7 in 4,735,218?

700,000

200

What is the value of the digit 5 in 8,251,604?

50,000

300

In the number 6,482,315, which digit is in the ten-thousands place?

8

400

The digit 9 in one number has a value of 900,000.
In another number, the digit 9 has a value of 9,000.

How many times greater is the first value than the second?

100 times

500

I am thinking of a 7-digit number.

• The digit in the millions place is 4.
• The digit in the hundred-thousands place is 7.
• The digit in the ten-thousands place is 2.
• The digit in the thousands place is 6.
• The digit in the hundreds place is 5.
• The digit in the tens place is 1.
• The digit in the ones place is 9.

What is my number, and what is the value of the digit in the hundred-thousands place?

Answer: 4,726,519; the value is 700,000.

WRITE THE NUMBER

100

Write 5,308,214 in word form.

Answer: Five million, three hundred eight thousand, two hundred fourteen.

200

Write seven million, forty-two thousand, six hundred nine in standard form.

7,042,609

300

Write 8,050,700 in expanded form.

8,000,000 + 50,000 + 700

400

Which number is represented by:

6,000,000 + 400,000 + 20,000 + 3,000 + 80 + 7

Answer: 6,423,087

500

A student writes:

9,000,000 + 700,000 + 30,000 + 500 + 4 = 9,735,004

Is the student correct? If not, what is the correct number?

Answer: No. The correct number is 9,730,504.

The 500 belongs in the hundreds place, not the thousands place.

POWERS OF 10

100

What is 10³?

1,000

200

Write this using a power of 10:

10 × 10 × 10 × 10 × 10

10⁵

300

450 × 10⁴

4,500,000

400

Which is greater?

72 × 10³
or
720 × 10²

Answer: They are equal.

Both equal 72,000.

500

Fill in the missing exponent:

63 × 10⁴ = 630 × 10^□

What exponent belongs in the box?

Answer: 3

Both sides equal 630,000.

MULTIPLY & DIVIDE

100

What is:

4,300 × 10

43,000

200

 What is:

7,200 × 100

720,000

300

Solve:

6,400 × 300

1,920,000

400

540,000 ÷ 90

6,000

500

A factory produces 2,400 boxes every day.

If it operates for 300 days, how many boxes does it produce?

2,400 × 300 = 720,000 boxes

MATH DETECTIVES

100

A number is 8,000 times greater than 6.

What is the number?

48,000

200

A student says:

“Multiplying a number by 10³ is the same as multiplying it by 30.”

Is the student correct?

Multiplying by 10³ means multiplying by 1,000, not 30.

300

Which expression has the same value as 52,000?

A. 52 × 10²
B. 520 × 10²
C. 5.2 × 10³
D. 520 × 10³

Answer: B — 520 × 10²

400

A student calculates:

7,500 × 100 = 75,000

Explain the student's mistake and give the correct answer.

The student moved the digits one place instead of two places.

7,500 × 100 = 750,000

500

I am thinking of a 7-digit number.

• All seven digits are different.
• My millions digit is 3.
• My ten-thousands digit is 7.
• My thousands digit is twice my hundred-thousands digit.
• My ones digit is 4 more than my millions digit.
• My tens digit is 2 more than my millions digit.
• My hundreds digit is 5 more than my millions digit.

What is my number?

Answer: 3,264,785