Write 4,506,372 in expanded form.
4,000,000 + 500,000 + 6,000 + 300 + 70 + 2
Round 6.478 to the nearest hundredth.
6.48
Write an equivalent fraction for 3/4 with a denominator of 12.
9/12
Solve: 48 × 6
288
Evaluate: 8 + (4 × 6)
32
Which number is greater:
7,305,419 or 7,350,914
Explain how you know.
7,350,914 (greater in the ten-thousands place)
Which is greater: 3.625 or 3.652
3.652
Which is greater: 5/6 or 4/6
5/6
Solve: 624 ÷ 3
208
Which expression equals 24?
A. 6 + 3 × 6
B. (6 + 3) × 2
B. (6 + 3) × 2
A city has 839,406 residents. Another city has 839,460 residents.
How many more residents does the second city have?
54 residents
A student runs 2.45 miles on Monday and 1.75 miles on Tuesday.
How many miles did the student run in all?
4.20 miles
A recipe needs 3/4 cup of sugar. You add 1/4 cup more. How much sugar is used in all?
1 whole cup
A school buys 24 boxes of pencils. Each box has 36 pencils. How many pencils are there in total?
864 pencils
Write an expression that represents:
“Five more than the product of 8 and 4.”
(8 × 4) + 5
Explain why 602,401 is greater than 598,942 using place value language.
The hundred-thousands place is greater (6 > 5).
Explain why 5.3 × 10 = 53 and not 530.
Multiplying by 10 moves the decimal one place right.
Explain how you know that 2/3 + 1/6 equals 5/6.
Convert 2/3 to 4/6, then add 1/6.
Explain two different strategies to solve 420 ÷ 6.
Partial quotients, mental math, area model, etc.
Explain why changing parentheses can change the value of an expression.
Order of operations affects which is calculated first.
A number has a 7 in the ten-thousands place and a 3 in the hundreds place.
The value of the digit 7 is 70,000. Create a possible number and explain.
Example: 471,302 (explanations may vary)
Write two different decimals that round to 4.6 when rounded to the nearest tenth.
Examples: 4.55 and 4.64
Create a real-world problem that could be solved by 4/5 − 1/5.
Answers will vary; subtraction of equal denominators.
Write a word problem that can be solved using 35 × 14.
Answers will vary; must involve equal groups.
Create two different expressions that equal 30.
Answers may vary (e.g., (5 × 6), 24 + 6)