Common Core: 6th Grade Math : Subtracting Multi-Digit Decimals

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #1 : Subtracting Multi Digit Decimals

Find the difference.

\(\displaystyle 7.26-5.83=\)

Possible Answers:

\(\displaystyle 2.43\)

\(\displaystyle 1.43\)

\(\displaystyle 1.53\)

\(\displaystyle 1.48\)

\(\displaystyle 1.33\)

Correct answer:

\(\displaystyle 1.43\)

Explanation:

Finding a difference means to subtract.  

In the hundredths column, we can easily subtract \(\displaystyle 6-3=3\)

In the tenths column we must borrow from the 7 (making it 6) and also making the 2 a 12.  Now we can subtract \(\displaystyle 12-8=4\)

Finally in the ones column we can subtract \(\displaystyle 6-5=1\)

Thus the final answer is 1.43.

Example Question #1 : Subtracting Multi Digit Decimals

Elliot bought \(\displaystyle 3\) coffee drinks from a famous coffee shop. The first two drinks cost him \(\displaystyle \$8.91\) and he paid a total of \(\displaystyle \$12.35\). How much did the third drink cost?

Possible Answers:

\(\displaystyle \$4.36\)

\(\displaystyle \$2.78\)

\(\displaystyle \$3.44\)

\(\displaystyle \$3.23\)

Correct answer:

\(\displaystyle \$3.44\)

Explanation:

To find the cost of the third drink, you must subtract the total cost by the cost of the two drinks.

\(\displaystyle $12.35 - $8.91 = \$3.44\)

Example Question #33 : Operations

\(\displaystyle 5.89 - 3.98 =\)

Possible Answers:

\(\displaystyle 1.91\)

\(\displaystyle 1.89\)

\(\displaystyle 2.10\)

\(\displaystyle 2.01\)

Correct answer:

\(\displaystyle 1.91\)

Explanation:

\(\displaystyle 5.89 - 3.98 =\)

We first subtract the hundredths place: \(\displaystyle 9-8 = 1\)

Then the tenths place: Since \(\displaystyle 8\) is less than \(\displaystyle 9\), we have to borrow from the \(\displaystyle 5\), the \(\displaystyle 5\) becomes a \(\displaystyle 4\) and the \(\displaystyle 8\) becomes \(\displaystyle 18\): \(\displaystyle 18 - 9 = 9\)

Then the ones place: \(\displaystyle 4-3 = 1\)

So the final answer is \(\displaystyle 1.91\).

Example Question #34 : Operations

\(\displaystyle 11.85 - 8.94 =\)

Possible Answers:

\(\displaystyle 2.85\)

\(\displaystyle 3.01\)

\(\displaystyle 2.87\)

\(\displaystyle 2.91\)

Correct answer:

\(\displaystyle 2.91\)

Explanation:

\(\displaystyle 11.85 - 8.94 =\)

We first subtract the hundredths place: \(\displaystyle 5 - 4 = 1\)

Then the tenths place: Since \(\displaystyle 8\) is less than \(\displaystyle 9\), we have to borrow from the \(\displaystyle 1\), the \(\displaystyle 1\) becomes a \(\displaystyle 0\) and the \(\displaystyle 8\) becomes \(\displaystyle 18\): \(\displaystyle 18 - 9 = 9\)

Then the ones place: \(\displaystyle 0-8\), since the \(\displaystyle 0\) is less than \(\displaystyle 8\), we have to borrow from the \(\displaystyle 1\), the \(\displaystyle 1\) becomes \(\displaystyle 0\) is the tens place, and the \(\displaystyle 0\) becomes \(\displaystyle 10\) in the ones place:

\(\displaystyle 10-8 = 2\)

So the final answer is \(\displaystyle 2.91\).

Example Question #1 : How To Add And Subtract Decimals

What is \(\displaystyle 3.2-0.2\)?

Possible Answers:

\(\displaystyle 1.0\)

\(\displaystyle 2.0\)

\(\displaystyle 3.4\)

\(\displaystyle 3.0\)

\(\displaystyle 1.2\)

Correct answer:

\(\displaystyle 3.0\)

Explanation:

\(\displaystyle 0.2\) removed from \(\displaystyle 3.2\) results in the whole integer \(\displaystyle 3.0\).

Example Question #2 : How To Add And Subtract Decimals

Subtract: \(\displaystyle 1-0.009\)

Possible Answers:

\(\displaystyle 0.0091\)

\(\displaystyle 0.0991\)

\(\displaystyle 0.991\)

\(\displaystyle 0.91\)

\(\displaystyle 0.9991\)

Correct answer:

\(\displaystyle 0.991\)

Explanation:

Rewrite \(\displaystyle 1-0.009\) adding the correct number of placeholders and evaluate.

\(\displaystyle 1.000-0.009=0.991\)

Example Question #2 : Hspt Mathematics

Menu 1

The above is a menu at the concession stand at a drive-in movie. The stand also offers a special "Meal Deal": a hamburger or a hot dog, a medium order of fries, and a medium soda for \(\displaystyle \$ 8\)

Randy orders two Meal Deals - a hamburger Meal Deal for himself and a hot dog Meal Deal for his friend Denise. How much more would he have paid for the items separately?

(Ignore tax)

Possible Answers:

\(\displaystyle \$3.24\)

\(\displaystyle \$2.24\)

\(\displaystyle \$2.74\)

\(\displaystyle \$1.74\)

Correct answer:

\(\displaystyle \$2.24\)

Explanation:

The two Meal Deals cost \(\displaystyle \$ 8 \times 2 = \$16\).

Purchased separately, the hamburger would have cost $4.89; the hot dog, $4.39; each of the two medium orders of fries, $2.79; and each of the two medium sodas, $1.69. The total price of the items, purchased separately, would have been

  \(\displaystyle \$4.89\)

    \(\displaystyle 4.39\)

    \(\displaystyle 2.79\)

    \(\displaystyle 2.79\)

    \(\displaystyle 1.69\)

    \(\displaystyle \underline{1.69}\)

\(\displaystyle \$18.24\)

The difference between this and the $16 paid for the food is

\(\displaystyle \$18.24 - \$16 .00 = \$2.24\)

Example Question #142 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Shawn bought two coats at the jacket store for \(\displaystyle \$195.69\).  He returned one of the two coats the next day and received \(\displaystyle \$84.20\) back on his credit card.  How much did the other coat cost?

Possible Answers:

\(\displaystyle \$111.49\)

\(\displaystyle \$111.29\)

\(\displaystyle \$111.99\)

\(\displaystyle \$110.49\)

\(\displaystyle \$110.99\)

Correct answer:

\(\displaystyle \$111.49\)

Explanation:

In order to find the cost of the coat that Shawn kept you must subtract the amount of money that went back on his credit card from the total that he spent on the two coats.  

\(\displaystyle \$195.69-84.20= \$111.49\)

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