Place Value and Face Value

59

Step 1: We need to write 50 + 9 in compact form. Step 2: 50 means 5 in the tens place. 9 means 9 in the ones place. Step 3: Putting these together: tens digit is 5, ones digit is 9. Step 4: So the compact form is 59. Common mistake: Students may write 509, confusing the hundreds place. There are only two digits here — 5 in tens and 9 in ones.

36

Step 1: Find the place value and face value of digit 4 in 46. Step 2: Digit 4 is in the TENS place. Place value of 4 = 4 × 10 = 40. Step 3: Face value of 4 = 4 (just the digit itself). Step 4: Difference = Place value − Face value = 40 − 4 = 36. The answer is 36. Common mistake: Students may subtract incorrectly or confuse which is place value and which is face value.

63

Step 1: Read the abacus from left to right — TENS spike first, then ONES spike. Step 2: TENS spike has 6 beads, so the tens digit is 6. Step 3: ONES spike has 3 beads, so the ones digit is 3. Step 4: The number is 63. Common mistake: Students may reverse the digits and say 36 because they read ONES before TENS.

90

Step 1: Look at the number 90. We need the place value of digit 9. Step 2: In 90, the digit 9 is in the TENS place and digit 0 is in the ONES place. Step 3: Place value of 9 = 9 × 10 = 90. Step 4: The answer is 90. Common mistake: Students may say 9 which is the face value, not the place value. Since 9 is in tens place, we multiply by 10.