Grade 5 Math Practice Test: Decimals and Fractions

The 7 is in the hundredths place, two places to the right of the decimal point, so its value is 7 hundredths, or 0.07. 0.7 would mean the 7 is in the tenths place, where the 3 is.

Multiplying by 100 moves every digit two places to the left: 3.6 × 100 = 360. 3,600 comes from writing two zeros after 36, which ignores the decimal point.

Compare the tenths first: 0.6 has 6 tenths, 0.59 and 0.509 have 5 tenths, and 0.06 has 0 tenths. A decimal with more digits is not necessarily larger.

The tenths digit is 8, and the digit after it (4) is less than 5, so round down to 7.8. 7.9 comes from rounding to 7.85 first and then rounding again, which changes the answer.

Line up the decimal points and write 1.6 as 1.60: 2.75 + 1.60 = 4.35. 3.81 comes from adding 75 + 6 as if the 6 were in the hundredths place.

8 × 35 = 280, and 0.35 has two decimal places, so the product is 2.80, or $2.80. $28.00 puts the decimal point in the wrong place.

4.8 ÷ 6 = 0.8, because 6 × 0.8 = 4.8. Each piece must be shorter than the whole board, so 8 m and 28.8 m cannot be right.

Use the common denominator 12: 23 = 812 and 14 = 312, so the sum is 1112. 37 adds the numerators and the denominators, which is not how fractions are added.

Write 12 as 36: 56 − 36 = 26, which simplifies to 13 cup. 23 cup comes from changing 12 into 16 instead of 36.

Rename the fractions in sixths: 12 = 36 and 23 = 46. Then 36 + 46 = 76 = 116, and 2 + 1 + 116 = 416. 316 forgets the extra whole.

Volume = length × width × height = 6 × 4 × 3 = 72 cubic centimeters. 24 cm³ uses only the base (6 × 4) and forgets the height.

The base area is 10 × 6 = 60 square inches, and volume = base area × height, so the height is 240 ÷ 60 = 4 inches. 24 inches divides by the length only.