Measurement and Data: Expressing Tenths as Hundredths and Adding Fractions (CCSS.4.MD.1)

Each foot is 12 inches, so multiply by the ratio: 5 × 12 = 60. Ratio reasoning: the second number is 12 times the first. The other choices show not scaling, adding a zero, or using a pair for a different number of feet.

Multiply the speed by the time: 12 miles/hour × 3 hours = 36 miles. This matches the total distance traveled.

Inches are smaller than feet, so the number should get larger. Multiply by the ratio: 3 × 12 = 36. Using place value: 12 is 10 + 2, so 3 × 10 = 30 and 3 × 2 = 6; 30 + 6 = 36. The wrong choices divide, add, or use the wrong factor.

Count from 2:35 to 3:35 (1 hour), then to 4:10 (35 minutes). Total is 1 hour 35 minutes.

Add the costs: $6.75 + $1.25 = \$8.00 spent. Subtract from \$20.00: \$20.00 − \$8.00 = \$12.00 left.

Minutes are smaller than hours, so multiply: 4 × 60 = 240 minutes. Place value view: 60 is 6 tens, so 4 × 6 tens = 24 tens = 240. The wrong choices forget to multiply by 60 or mix up addition/division.

Convert 1/4 liter to 250 milliliters. You have 250 + 600 = 850 milliliters. You need 1000 − 850 = 150 milliliters more.

Centimeters are smaller than meters, so multiply: 7 × 100 = 700 cm. Place value reasoning: multiplying by 100 shifts two places to the left (append two zeros). The distractors show dividing by 10 or 100 or multiplying by 1000.

Use the area formula: $A = l \times w = 6 \times 4 = 24$ square meters. Area measures the inside space (square units). The 20 meters choice is the perimeter $P = 2l + 2w = 20$ (outside edge), and sums like 10 or 16 measure lengths, not area.

Use the perimeter formula: $P = 2l + 2w = 2(8) + 2(3) = 22$ centimeters. Perimeter is the outside edge. The 24 square centimeters choice is the area $A = l \times w = 24$ (inside space), and 11 is just $l + w$.