Grade 4 Math Practice Test: Place Value, Rounding, Factors and Multiples

Reading from the left, 4 is in the hundred thousands place and 8 is in the ten thousands place, so the 8 is worth 8 × 10,000 = 80,000.

The 5 in the hundreds place is worth 500 and the 5 in the tens place is worth 50. Since 500 = 10 × 50, a digit in one place is worth 10 times what it is worth in the place to its right.

There are 6 ten thousands, 0 thousands, 3 hundreds, 7 tens and 2 ones, so the number is 60,372. Writing 6,372 leaves out the zero that holds the thousands place.

"Two hundred five thousand" is 205,000, and "forty-six" is 46. Together that is 205,046. The hundreds place has no hundreds, so it holds a 0.

In 120,560 and 102,650 the hundred thousands digits match, but the ten thousands digit is 2 in the first number and 0 in the second, so 120,560 is greater. In each of the other comparisons the symbol points the wrong way.

Compare place by place from the left. 54,908 has the most ten thousands, so it is greatest. Among the others, 49,508 has more thousands than the two numbers starting with 45, and 45,089 is less than 45,980 because it has 0 hundreds instead of 9. The last list is in order from greatest to least.

The thousands digit is 3, and the digit to its right is 7. Since 7 is 5 or more, round up to 64,000. The number 63,700 is rounded to the nearest hundred, not thousand.

The hundred thousands digit is 4, and the digit to its right is 5. Since 5 means round up, the answer is 500,000. The number 400,000 comes from looking at the 4 instead of the digit after it.

Numbers from 3,650 to 3,749 round to 3,700. 3,652 is in that range. 3,649 and 3,607 round down to 3,600, and 3,751 rounds up to 3,800.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24, which form four pairs: 1 × 24, 2 × 12, 3 × 8 and 4 × 6. The other lists leave out a pair or include 4 and 5, which multiply to 20.

A prime number has exactly two factors, 1 and itself. 29 has no other factors. The others are composite: 21 = 3 × 7, 27 = 3 × 9 and 39 = 3 × 13.

48 = 6 × 8, so it is a multiple of both numbers. 32 is a multiple of 8 but not of 6, and 36 and 60 are multiples of 6 but not of 8.

84 = 7 × 12, so 7 is a factor of 84. Dividing 74, 94 or 64 by 7 leaves a remainder, so 7 is not a factor of those numbers.

The pattern starts with an odd number, and adding an even number (4) to an odd number always gives an odd number. So every number in the pattern stays odd. Only 3 and 15 are multiples of 3.

The number of rows must be a factor of 36. 4 × 9, 6 × 6 and 9 × 4 all make 36, but 8 is not a factor of 36: 36 ÷ 8 is 4 with 4 chairs left over.