Number and Operations in Base Ten: Adding, Subtracting, Multiplying, and Dividing Decimals to Hundredths (CCSS.5.NBT.7)
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Common Core 5th Grade Math › Number and Operations in Base Ten: Adding, Subtracting, Multiplying, and Dividing Decimals to Hundredths (CCSS.5.NBT.7)
A shirt costs \$5.60 and is 40% off. What is the discount amount?
\$2.24
\$22.40
\$0.56
\$5.20
Explanation
Find 40% of the price: $5.60 \times 0.4 = 2.24$. Think of 0.4 as 4 tenths: $560$ cents × $0.4 = 224$ cents = \$2.24. Distractors move the decimal the wrong way or use the wrong operation.
A notebook costs \$4.25 and a pack of pens costs \$3.60. What is the total cost?
\$7.75
\$7.85
\$7.86
\$0.65
Explanation
Line up decimals and add by place value: $4.25 + 3.60 = 7.85$. Add hundredths (5 + 0 = 5), tenths (2 + 6 = 8), and ones (4 + 3 = 7). Distractors show common mistakes like mis-adding or using subtraction.
A ribbon is 3.6 meters long. It is cut into pieces that are each 0.3 meters long. How many pieces can be made?
1.2
1.08
12
0.12
Explanation
Divide using place value: multiply both numbers by 10 to remove decimals: $3.6 \div 0.3 = 36 \div 3 = 12$. Distractors come from ignoring the shift (giving 1.2) or using multiplication instead of division.
A bottle holds 5.3 liters of water. If 2.48 liters are poured out, how much water remains?
7.78 L
2.58 L
2.52 L
2.82 L
Explanation
Write 5.3 as 5.30 to align hundredths. Subtract by place value: $5.30 - 2.48 = 2.82$. Borrow from the tenths when subtracting the hundredths (30 − 48). Wrong choices come from adding instead of subtracting or misaligning decimals.