Question 1

Jasmine claims that 5 x (3 + 7) gives the same result as (5 x 3) + 7. Use mathematical reasoning to determine whether her claim is valid.

• Yes, because both expressions result in the same product.

• No, because the order of operations changes the result.

• Yes, because the associative property.

Tags

CCSS.3.OA.B.5

Juan ran 5.8 km while Bart ran 5.713 km. Estimate the difference and explain how rounding could help check your answer.

• About 0.09 km, because 5.8 - 5.7 = 0.1

• About 0.1 km, because 5.8 and 5.713 round to the same number

• About 0.087 km, because exact subtraction is needed

• About 0.2 km, because rounding down

Sally used 12.72 gallons of fertilizer over 4 days. What reasoning shows the best method to find how much she used each day?

• A. Divide 12.72 by 4 using estimation and adjust as needed

• B. Multiply 12.72 by 4 and divide by 2

• C. Use subtraction repeatedly until zero

• D. Round to nearest whole number before dividing

Tags

CCSS.6.NS.B.3

Kate has 6 cups of lemonade and pours 1/3 cup into each mold. Explain how many molds she can fill and why.

• 12 molds, because 6 ÷ 1/3 = 12

• 2 molds, because 6 ÷ 3 = 2

• 18 molds, because dividing by a fraction increases the total

• 3 molds, because each mold takes 3 cups

Tags

CCSS.5.NF.B.7C

CCSS.5.NF.B.7B

You need to round 125.531 to the nearest tenth. What steps should you follow and why?

• Look at the hundredths place; if 5 or more, round up

• Look at the tenths place and round to the nearest hundredth

• Drop all digits after tenths regardless of their value

• Round to nearest hundredth, then round to nearest tenth

Tags

CCSS.5.NBT.A.4

Max ran 4.58 km daily for 5 days. Choose the best explanation for how to estimate the total distance.

• A. Multiply 4.58 by 5 using rounding to 5

• B. Multiply 4.58 by 10, then divide by 2

• C. Round 4.58 to 4.5 and multiply by 5

• D. Multiply 4 by 5 and ignore the decimals

Tags

CCSS.5.NBT.B.7

You have a board measuring 3.709 meters. What strategy would help write it in number name form accurately?

• Focus on the thousandths and read left to right

• Round to the nearest hundredth first

• Skip the decimal and read the whole number only

• Say the digits after the decimal as a whole

Tags

CCSS.5.NBT.A.3A

To compare 78.12 and 78.5, what is the most effective strategy and why?

• Line up decimals and compare place by place

• Round both to the nearest tenth

• Compare the tenths only

• Multiply each by 10 and compare results

Tags

CCSS.4.NF.C.7

Juanita filled 4/5 of a cup of juice equally into 5 containers. Which reasoning best explains how much each got?

• Multiply 4/5 by 1/5

• Divide 4/5 by 5; each gets 4/25 (Correct Answer)

• Each gets 1/4 of a cup

• Use repeated subtraction to estimate

Tags

CCSS.5.NF.B.7C

CCSS.5.NF.B.7A

A school sold 25 sections of 827 seats. How would you explain solving this without a calculator?

• Estimate by rounding 827 to 800 and multiply

• Use long division for each section

• Break 827 into parts like 800 + 20 + 7 and use distributive property

• Add 827 twenty-five times

Tags

CCSS.5.NBT.B.5